
Prof. Dr.
Karl Kunisch
Scientific Director
Group Leader
Optimization and Optimal Control
Contact
Email: Karl.Kunisch(at)oeaw.ac.at
Telephone: +43 316 380 5162
Biographical sketch
- Born on Sept. 16, 1952 in Linz, Austria; married, 3 children
- 1975: "Diploma" Degree from Technical University of Graz
- 1975: Master Degree from Northwestern University, Evanston, Illinois, USA
- 1978: Ph.D. Degree from Technical University of Graz
- 1980: Habilitation at Technical University of Graz
FORMER AND CURRENT POSITIONS
- September 1976 - March 1986: Assistant at Institute of Mathematics, Technical University of Graz, Austria.
- March 1986 - October 1993: Professor of Mathematics at the Technical University of Graz, Austria ("außerordentlicher Professor").
- September 1979 - July 1980: Visiting Assistant Professor, Lefschetz Center for Dynamical Systems, Division of Applied Mathematics, Brown University, Providence, RI, USA.
- Academic years 1978/79 and 1981/82: Joint appointment at the University of Graz, Austria.
- September 1982 - June 1983: Visiting Associate Professor at the University of Oklahoma, Norman, OK, USA, and at Brown University, Providence, RI,USA.
- January 1985 - July 1985: Visiting Associate Professor, Lefschetz Center for Dynamical Systems, Division of Applied Mathematics, Brown University, Providence, RI, USA.
- March 1985 - February 1987: Consultant at the Institute for Computer Applications in Science and Engineering at NASA Langley, Virginia, USA.
- December 1985: Declined call to C3-Professor in Erlangen, Germany.
- February 1989 - July 1989: Visiting Professor, Division of Applied Mathematics, Brown University, Providence, RI, USA.
- September 1991 - March 1992: Visiting Professor at Institute de Rechere en Informatique et en Automatique (INRIA), Rocquencourt, France.
- 1992: Call to chairs in Berlin and Vienna.
- January 1994: Visiting Professor at Paris IX (Université de Paris-Dauphine).
- March 1994: Visiting Professor at Institute de Recherche en Informatique et en Automatique (INRIA9, Rocquencourt, France.
- November 1993 - October 1996: Professor of Mathematics (C4) at Technical University Berlin.
- November 1996 - present: Full Professor of Mathematics at University of Graz, Austria.
- 1998: Call to C4-Professorship at University of München.
- 2003: offer to C4-Professorship at the University of Stuttgart.
- since Oct. 2004: Group Leader of the Group "Optimization and Optimal Control" at RICAM.
Academic Honors and Awards
- Pro Scienta-Scholarship 1974 - 1977.
- Research Award of Theodor-Körner-Fonds, Vienna, April 1979.
- Fulbright Travel Scholarship in academic years 1979/80, 1985.
- Max Kade Scholarship 1982/83.
- Fellowship of the Japanese Society for the Promotion of Science,March 1990.
- Award of Christian Doppler Laboratory Fellowship, April 1992.
Publications
Journal Publication (154)
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Court, Sebastien; Kunisch, Karl (2022) DESIGN OF THE MONODOMAIN MODEL BY ARTIFICIAL NEURAL NETWORKS. Discret. Contin. Dyn. Syst.
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Azmi, Behzad; Kunisch, Karl (2022) On the convergence and mesh-independent property of the Barzilai-Borwein method for PDE-constrained optimization. IMA J. Numer. Anal., Bd. 42 (4), S. 2984-3021.
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Kunisch, Karl; Walter, Daniel (2022) ON FAST CONVERGENCE RATES FOR GENERALIZED CONDITIONAL GRADIENT METHODS WITH BACKTRACKING STEPSIZE. NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION.
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Casas, Eduardo; Kunisch, Karl; Mateos, Mariano (2022) Error estimates for the numerical approximation of optimal control problems with nonsmooth pointwise-integral control constraints. IMA J. Numer. Anal.
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Kovtunenko, Victor A.; Kunisch, Karl (2022) Shape Derivative for Penalty-Constrained Nonsmooth-Nonconvex Optimization: Cohesive Crack Problem. J. Optim. Theory Appl.
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Kunisch, Karl; Priyasad, Buddhika (2022) Continuous Differentiability of the Value Function of Semilinear Parabolic Infinite Time Horizon Optimal Control Problems on L-2(Omega) Under Control Constraints. Appl. Math. Optim.
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Holler, Gernot; Kunisch, Karl (2022) LEARNING NONLOCAL REGULARIZATION OPERATORS. Math. Control Relat. Fields, Bd. 12 (1), S. 81-114.
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Kobler, Erich; Kunisch, Karl; Effland, Alexander; Pock, Thomas (2022) Total deep variation for linear inverse problems. Transactions on Pattern Analysis and Machine Intelligence.
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Casas, Eduardo; Kunisch, Karl (2022) Optimal Control of Semilinear Parabolic Equations with Non-smooth Pointwise-Integral Control Constraints in Time-Space. Appl. Math. Optim., Bd. 85 (1).
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Peralta, Gilbert; Kunisch, Karl (2022) Mixed and hybrid Petrov-Galerkin finite element discretization for optimal control of the wave equation. Numer. Math.
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Azmi, Behzad; Kunisch, Karl; Rodrigues, S. Sergio (2021) Stabilization of nonautonomous parabolic equations by a single moving actuator. Discret. Contin. Dyn. Syst., Bd. 41 (12), S. 5789-5824.
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Grohs, P.; Kritzer, P.; Kunisch, K.; Ramlau, R.; Scherzer, O. (2021) RICAM, the Johann Radon Institute for Computational and Applied Mathematics. European Mathematical Society Magazine, Bd. 122, S. 46-51.
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Azmi, Behzad; Kalise, Dante; Kunisch, Karl (2021) Optimal Feedback Law Recovery by Gradient-Augmented Sparse Polynomial Regression. J. Mach. Learn. Res., Bd. 22, S. 1-32.
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Dolgov, Sergey; Kalise, Dante; Kunisch, Karl K. (2021) TENSOR DECOMPOSITION METHODS FOR HIGH-DIMENSIONAL HAMILTON-JACOBI-BELLMAN EQUATIONS. SIAM J. Sci. Comput., Bd. 43 (3), S. A1625-A1650.
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Kunisch, Karl; Trautmann, Philip (2021) An Inverse Problem Involving a Viscous Eikonal Equation with Applications in Electrophysiology. VIETNAM JOURNAL OF MATHEMATICS.
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Kundu, Sudeep; Kunisch, Karl (2021) Policy iteration for Hamilton-Jacobi-Bellman equations with control constraints. Comput. Optim. Appl.
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Kunisch, Karl; Rodrigues, Sergio S.; Walter, Daniel (2021) Learning an Optimal Feedback Operator Semiglobally Stabilizing Semilinear Parabolic Equations. Appl. Math. Optim., Bd. 84 (1), S. 277-318.
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Kunisch, Karl; Walter, Daniel (2021) Semiglobal optimal feedback stabilization of autonomous systems via deep neural network approximation. ESAIM-Control OPtim. Calc. Var., Bd. 27, S. ARTN 16.
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Breiten, Tobias; Kunisch, Karl (2021) Neural network based nonlinear observers. Syst. Control Lett., Bd. 148, S. ARTN 104829.
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Kalise, Dante; Kunisch, Karl; Rao, Zhiping (online: 2020) Sparse and switching infinite horizon optimal controls with mixed-norm penalizations. ESAIM: COCV (26), S. 25.
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Engel, Sebastian; Kunisch, Karl (2020) OPTIMAL CONTROL OF THE LINEAR WAVE EQUATION BY TIME-DEPENDING BV-CONTROLS: A SEMI-SMOOTH NEWTON APPROACH. Math. Control Relat. Fields, Bd. 10 (3), S. 591-622.
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Kunisch, Karl; Pfeiffer, Laurent (online: 2020) The effect of the terminal penalty in Receding Horizon Control for a class of stabilization problems. ESAIM: COCV (26), S. 26.
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Breiten, Tobias; Kunisch, Karl (2020) FEEDBACK STABILIZATION OF THE THREE-DIMENSIONAL NAVIER-STOKES EQUATIONS USING GENERALIZED LYAPUNOV EQUATIONS. Discret. Contin. Dyn. Syst., Bd. 40 (7), S. 4197-4229.
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Kunisch, Karl; Meinlschmidt, Hannes (2020) Optimal control of an energy-critical semilinear wave equation in 3D with spatially integrated control constraints. J. Math. Pures Appl., Bd. 138, S. 46-87.
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Kalise, Dante; Kundu, Sudeep; Kunisch, Karl (2020) Robust Feedback Control of Nonlinear PDEs by Numerical Approximation of High-Dimensional Hamilton-Jacobi-Isaacs Equations. SIAM J. Appl. Dyn. Syst., Bd. 19 (2), S. 1496-1524.
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Azmi, Behzad; Kunisch, Karl (2020) Analysis of the Barzilai-Borwein Step-Sizes for Problems in Hilbert Spaces. J. Optim. Theory Appl.
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Effland, Alexander; Kobler, Erich; Kunisch, Karl; Thomas, Pock (online: 2020) Variational Networks: An Optimal Control Approach to Early Stopping Variational Methods for Image Restoration. Journal of Mathematical Imaging and Vision (62), S. 396-416.
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Ghilli, Daria; Kunisch, Karl; Kovtunenko, Victor A. (2020) Inverse problem of breaking line identification by shape optimization. J. Inverse Ill-Posed Probl., Bd. 28 (1), S. 119-135.
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Breiten, Tobias; Kunisch, Karl; Pfeiffer, Laurent (2019) Feedback Stabilization of the Two-Dimensional Navier-Stokes Equations by Value Function Approximation. Appl. Math. Optim., Bd. 80 (3), S. 599-641.
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Peralta, Gilbert; Kunisch, Karl (2019) Analysis of a nonlinear fluid-structure interaction model with mechanical dissipation and delay. Nonlinearity, Bd. 32 (12), S. 5110-5149.
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Casas, E.; Kunisch, K. (2019) Using sparse control methods to identify sources in linear diffusion-convection equations. Inverse Problems, Bd. 35 (11), S. 114002.
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Ghilli, Daria; Kunisch, Karl (2019) On a Monotone Scheme for Nonconvex Nonsmooth Optimization with Applications to Fracture Mechanics. J. Optim. Theory Appl., Bd. 183 (2), S. 609-641.
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Kunisch, Karl; Rodrigues, Sergio S. (online: 2019) Explicit exponential stabilization of nonautonomous linear parabolic-like systems by a finite number of internal actuators. ESAIM Control Optim. Calc. Var., Bd. 25, S. art.67.
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Kunisch, Karl; Rodrigues, Sergio S. (online: 2019) Oblique projection based stabilizing feedback for nonautonomous coupled parabolic-ode systems. Discrete Contin. Dyn. Syst., Bd. 39 (11), S. 6355-6389.
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Aigner, Christoph S.; Rund, Armin; Seada, Samy Abo; Price, Anthony N.; Hajnal, Joseph, V et al. [..] (2019) Time optimal control-based RF pulse design under gradient imperfections. Magn. Reson. Med.
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Breiten, Tobias; Kunisch, Karl; Pfeiffer, Laurent (2019) Taylor expansions of the value function associated with a bilinear optimal control problem. Ann. Inst. Henri Poincare-Anal. Non Lineaire, Bd. 36 (5), S. 1361-1399.
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Court, S.; Kunisch, K.; Pfeiffer, L. (2019) Optimal control problem for systems of conservation laws, with geometric parameter, and application to the Shallow-Water equations. Interfaces and Free Boundaries, Bd. 21, S. 273-311.
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Casas, E.; Kunisch, K. (2019) Optimal control of the two-dimensional Stationary Navier-Stokes Equations with Measured Valued Controls. SIAM Journal on Control and Optimization, Bd. 57 (2), S. 1328-1354.
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Kunisch, K.; Neic, A.; Plank, G.; Trautmann, P. (online: 2019) Inverse localization of earliest cardiac activation sites from activation maps based on the viscous Eikonal equation. Journal of Mathematical Biology, S. 1-36.
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Bonifacius, L.; Kunisch, K. (2019) Time-optimality by distance-optimality for parabolic control systems. ESAIM: Mathematical Modelling and Numerical Analysis.
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Azmi, Behzad; Kunisch, Karl (2019) A HYBRID FINITE-DIMENSIONAL RHC FOR STABILIZATION OF TIME-VARYING PARABOLIC EQUATIONS. SIAM J. Control Optim., Bd. 57 (5), S. 3496-3526.
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Kalise, Dante; Kunisch, Karl; Rao, Zhiping (2019) Sparse and switching infinite horizon optimal control with nonconvex penalizations. ESAIM: Control, Optimisation and Calculus of Variations, Bd. n.a., S. n.a.
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G. Peralta, ; Kunisch, K. (2018) Analysis and Finite Element Discretization for Optimal Control of a Linear Fluid-Structure Interaction Problem with Delay. IMAJNA.
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D. Ghilli, ; Kunisch, K. (online: 2018) On monotone and primal-dual active set schemes for ℓp-type problems, p∈(0,1]. Computational Optimization and Applications, S. 1-41.
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Kunisch, Karl; Rodrigues, Sergio S. (2018) Explicit exponential stabilization of nonautonomous linear parabolic-like systems by a finite number of internal actuators. ESAIM Control Optim. Calc. Var., Bd. vv, S. pp.
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D. Kalise, ; K. Kunisch, ; Sturm, K. (2018) Optimal actuator design based on shape calculus. Mathematical Models and Methods in Applied Sciences, Bd. 28 (13), S. 2667-2717.
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Kunisch, Karl; Souza, Diego A. (2018) On the one-dimensional nonlinear monodomain equations with moving controls. J. Math. Pures Appl., Bd. 117, S. 94-122.
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Breiten, Tobias; Kunisch, Karl; Pfeiffer, Laurent (2018) NUMERICAL STUDY OF POLYNOMIAL FEEDBACK LAWS FOR A BILINEAR CONTROL PROBLEM. Math. Control Relat. Fields, Bd. 8 (3-4), S. 557-582.
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G. Holler, ; K. Kunisch, ; Barnard, R.C. (online: 2018) A bilevel approach for parameter learning in Inverse Problems. Inverse Problems, Bd. 34 (11).
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V. Kovtunenko, ; Kunisch, K. (online: 2018) Revisiting gernalized fem: a petrov-galerkin enrichment based fem interpolation for helmholtz problem. Calcolo, Bd. 55 (3).
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Z. Peng, ; Kunisch, K. (2018) Optimal Control of Elliptic Variational–Hemivariational Inequalities. Journal of Optimization Theory and Applications, Bd. 178 (1), S. 1-25.
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Kalise, Dante; Kunisch, Karl (2018) POLYNOMIAL APPROXIMATION OF HIGH-DIMENSIONAL HAMILTON JACOBI BELLMAN EQUATIONS AND APPLICATIONS TO FEEDBACK CONTROL OF SEMILINEAR PARABOLIC PDES. SIAM J. Sci. Comput., Bd. 40 (2), S. A629-A652.
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Breiten, Tobias; Kunisch, Karl; Pfeiffer, Laurent (2018) INFINITE-HORIZON BILINEAR OPTIMAL CONTROL PROBLEMS: SENSITIVITY ANALYSIS AND POLYNOMIAL FEEDBACK LAWS. SIAM J. Control Optim., Bd. 56 (5), S. 3184-3214.
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Guglielmi, Roberto; Kunisch, Karl (2018) Sensitivity analysis of the value function for infinite dimensional optimal control problems and its relation to Riccati equations. Optimization, Bd. 67 (9), S. 1461-1485.
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G. Peralta, ; Kunisch, K. (2018) Interface stabilization of a parabolic-hyperbolic pde system with delay in the interaction. AIMS: Discrete and Continuous Dynamical Systems, Bd. 38 (6), S. 3055-3083.
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Clason, Christian; Kruse, Florian; Kunisch, Karl (2018) TOTAL VARIATION REGULARIZATION OF MULTI-MATERIAL TOPOLOGY OPTIMIZATION. ESAIM-Math. Model. Numer. Anal.-Model. Math. Anal. Numer., Bd. 52 (1), S. 275-303.
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E. Casas, ; Kunisch, K. (online: 2018) Analysis of Optimal Control Problems of Semilinear Elliptic Equations by BV-Functions. Set-Valued and Variational Analysis, S. 1-25.
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Friesecke, Gero; Henneke, Felix; Kunisch, Karl (2018) FREQUENCY-SPARSE OPTIMAL QUANTUM CONTROL. Math. Control Relat. Fields, Bd. 8 (1), S. 155-176.
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A. Rund, ; C.S. Aigner, ; K. Kunisch, ; Stollberger, R. (online: 2018) Simultaneous multislice refocusing by time-optimal control. Magnetic Resonance in Medicine, Bd. 80 (4), S. 1416-1428.
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Azmi, Behzad; Kunisch, Karl (2018) Receding Horizon Control for the Stabilization of the Wave Equation. Discrete and Continuous Dynamical Systems - Series A, Bd. 38 (2), S. 449-484.
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A. Rund, ; C.S. Aigner, ; K. Kunisch, ; Stollberger, R. (2018) Magnetic Resonance RF pulse design by optimal control with physical constraints. IEEE Transactions on Medical Imaging, Bd. 37 (2), S. 461-472.
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Azmi, Behzad; Boulanger, Anne-Céline; Kunisch, Karl (online: 2018) On the semi-global Stabilizability of the Korteweg-de Vries Equation via Model Predictive Control. ESAIM: Control, Optimisation and Calculus of Variations, Bd. 24 (1), S. 237-263.
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C. Clason, A. Rund, and K. Kunisch (2017) "Total variation regularization of multi-material topology optimization". ESAIM: Mathematical Modelling and Numerical Analysis, Bd. 52, S. 275-303.
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Court, Sébastien; Kunisch, Karl; Pfeiffer, Laurent (2017) Optimal control for a class of infinite dimensional systems invloving an L∞-term in the cost functional. ZAMM - Journal of Applied Mathematics and Mechanics.
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Ghilli, Daria; Kunisch, Karl (2017) A monotone scheme for sparsity optimization in lp with p Є (0,1]. IFAC-PapersOnLine, Bd. 50 (1).
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Rund, Armin; Aigner, Christoph Stefan; Kunisch, Karl; Stollberger, Rudolf (2017) Magnetic Resonance RF pulse design by optimal control with physical constraints. IEEE Transactions on Medical Imaging, Bd. PP (99).
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Breiten, Tobias; Kunisch, Karl (2017) BOUNDARY FEEDBACK STABILIZATION OF THE MONODOMAIN EQUATIONS. Math. Control Relat. Fields, Bd. 7 (3), S. 369-391.
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Clason, Christian; Rund, Armin; Kunisch, Karl (2017) Nonconvex penalization of switching control of partial differential equations. Syst. Control Lett., Bd. 106, S. 1-8.
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T. Breiten, ; K. Kunisch, ; Pfeiffer, L. (2017) A reduction method for Riccati-based control of the Fokker-Planck equation. IFAC-PapersOnLine, Bd. 50 (1), S. 1631-1636.
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Breiten, Tobias; Kunisch, Karl; Rodrigues, Sergio S. (2017) Feedback stabilization to nonstationary solutions of a class of reaction diffusion equations of FitzHugh-Nagumo type. SIAM J. Control Optim., Bd. 55 (4), S. 2684-2713.
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Casas, Eduardo; Kruse, Florian; Kunisch, Karl (2017) Optimal Control of Semilinear Parabolic Equations by BV-Functions. SIAM Journal on Control and Optimization, Bd. 55 (3), S. 1752-1788.
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Casas, Eduardo; Kunisch, Karl (online: 2017) Stabilization by Sparse Controls for a Class of Semilinear Parabolic Equations. SIAM J.Control Optim., Bd. 55 (1), S. 512-532.
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Kalise, Dante; Kunisch, Karl; Rao, Zhiping (2017, online: 2016) Infinite Horizon Sparse Optimal Control. Journal of Optimization Theory and Applications, Bd. 172 (2), S. 481-517.
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Kunisch, Karl; Rao, Zhiping (2017, online: 2015) Minimal time problem with impulsive controls. Applied Mathematics & Optimization, Bd. 75 (1), S. 75-97.
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Chamakuri, Nagaiah; Kunisch, Karl (2017, online: 2016) Primal-dual active set strategy for large scale optimization of cardiac defibrillation. Applied Mathematics and Computation, Bd. 292, S. 178-193.
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Clason, Christian; Kunisch, Karl (2016) A CONVEX ANALYSIS APPROACH TO MULTI-MATERIAL TOPOLOGY OPTIMIZATION. ESAIM-Math. Model. Numer. Anal.-Model. Math. Anal. Numer., Bd. 50 (6), S. 1917-1936.
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Kunisch, Karl; Keeling, Stephen L. (2016) Robust l1 approaches to computing the geometric median and principal and independent components. Journal of Mathematical Imaging and Vision, Bd. 56, S. 99-124.
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Kunisch, Karl; Trautmann, Philip; Vexler, Boris (2016) Optimal control of the undamped linear wave equation with measure valued controls. SIAM Journal on Control and Optimization, Bd. 54 (3), S. 1212-1244.
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Azmi, Behzad; Kunisch, Karl (2016) On the Stabilizability of the Burgers Equation by Receding Horizon Control. SIAM Journal on Control and Optimization, Bd. 54 (3), S. 1378-1405.
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Kalise, Dante; Kroener, Axel; Kunisch, Karl (2016) Local Minimization Algorithms for Dynamic Programming Equations. SIAM Journal on Scientific Computing, Bd. 38 (3), S. 1587-1615.
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Kunisch, Karl; Ito, Kazufumi (2016) A sequential method for a class of stable mathematical programming problems. SIAM Journal on Optimization, Bd. 26 (2), S. 1262-1292.
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Casas, E.; Kunisch, K. (2016) Parabolic control problems in space-time measure spaces. ESAIM: Control, Optimisation and Calculus of Variations, Bd. 22 (2), S. 355-370.
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Kunisch, Karl; Pieper, Konstantin; Rund, Armin (2016) Time optimal control for a reaction diffusion system arising in cardiac electrophysiology - a monolithic approach. ESAIM, Bd. 50 (2), S. 381-414.
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Clason, Christian; Rund, Armin; Kunisch, Karl; Barnard, Richard C. (2016) A convex penalty for switching control of partial differential equations. Systems & Control Letters, Bd. 89, S. 66-73.
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Kunisch, Karl; Rund, Armin (2015) Time optimal control of the monodomain model in cardiac electrophysiology. IMA Journal of Applied Mathematics, Bd. 80 (6), S. 1664-1683.
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Chamakuri, N.; Kunisch, K.; Plank, G. (online: 2015) PDE constrained optimization of electrical defibrillation in a 3D ventricular slice geometry. International Journal for Numerical Methods in Biomedical Engineering.
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Chamakuri, Nagaiah; Kunisch, Karl; Plank, Gernot (2015) Application of optimal control to the cardiac defibrillation problem using a physiological model of cellular dynamics. Appl. Numer. Math., Bd. 95, S. 130-139.
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Kunisch, Karl; Müller, Markus (2015) Uniform convergence of the POD method and applications to optimal control. Journal Discrete and Continuous Dynamical System - A., Bd. 35 (9), S. 4477-4501.
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Kunisch, Karl; Reiterer, Stefan H. (2015, online: 2014) A Gautschi time-stepping approach to optimal control of the wave equation. Applied Numerical Mathematics, Bd. 90, S. 55–76.
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Clason, Christian; Ito, Kazufumi; Kunisch, Karl (online: 2015) A convex analysis approach to optimal controls with switching structure for partial differential equations. ESAIM: Control, Optimisation and Calculus of Variations.
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Breiten, Tobias; Kunisch, Karl (online: 2014) Riccati-Based Feedback Control of the Monodomain Equations With the Fitzhugh-Nagumo Model. SIAM Journal on Control and Optimization, Bd. 52 (6), S. 4057–4081.
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Clason, Christian; Kunisch, Karl (2014, online: 2013) Multi-bang control of elliptic systems. Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Bd. 31 (6), S. 1109-1130.
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Holler, Martin; Kunisch, Karl (online: 2014) On Infimal Convolution of TV-Type Functionals and Applications to Video and Image Reconstruction. SIAM Journal on Imaging Sciences, Bd. 7 (4), S. 2258–2300.
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Kunisch, Karl; Pieper, Konstantin; Vexler, Boris (online: 2014) Measure Valued Directional Sparsity for Parabolic Optimal Control Problems. SIAM Journal on Control and Optimization, Bd. 52 (5), S. 3078–3108.
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H. Kasumba, ; K. Kunisch, ; Laurain, A. (2014, online: 2013) A bilevel shape optimization problem for the exterior Bernoulli free boundary value problem. Interfaces and Free Boundaries, Bd. 16 (4), S. 459–487.
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Chamakuri, Nagaiah; Engwer, Christian; Kunisch, Karl (2014) Boundary control of bidomain equations with state-dependent switching source functions in the ionic model. Journal of Computational Physics, Bd. 273, S. 227-242.
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Ito, Kazufumi; Kunisch, Karl (online: 2014) Optimal Control with $L^p(Omega)$, $pin [0,1)$, Control Cost. SIAM Journal on Control and Optimization, Bd. 52 (2), S. 1251-1275.
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Ito, Kazufumi; Kunisch, Karl (online: 2014) A Note on the Existence of Nonsmooth Nonconvex Optimization Problems. Journal of Optimization Theory and Applications, Bd. 163 (3), S. 697-706.
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Kunisch, Karl; Wang, Lijuan (2014) The bang-bang property of time optimal controls for the Burgers equation. Discrete and Continuous Dynamical Systems, Bd. 34 (9), S. 361-3637.
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Kovtunenko, A. Victor; Kunisch, Karl (online: 2014) High Precision Identification of an Object: Optimality-Conditions-Based Concept of Imaging. SIAM Journal on Control and Optimization, Bd. 52 (1), S. 773-796.
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Ito, Kazufumi; Kunisch, Karl (2014) A variational approach to sparsity optimization based on Lagrange multiplier theory. Inverse Problems, Bd. 30 (1), S. 015001.
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Goetschel, S. and Chamakuri, N. and Kunisch, K. and Weiser, M. (online: 2013) Lossy Compression in Optimal Control of Cardiac Defibrillation. Journal of Scientific Computing.
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Chamakuri, Nagaiah; Kunisch, Karl; Plank, Gernot (2013) On boundary stimulation and optimal boundary control of the bidomainequations. Mathematical Biosciences, Bd. 245 (2), S. 206-215.
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Götschel, S.; Chamakuri, N.; Kunisch, K.; Weiser, M. (online: 2013) Lossy Compression in Optimal Control of Cardiac Defibrillation. Journal on Scientific Computing.
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Kröner, Axel; Kunisch, Karl (online: 2013) A minimum effort optimal control problem for the wave equation. Computational Optimization and Applications.
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Kunisch, K.; Wang, L. (2013) Time optimal control of the heat equation with pointwise control constraints. ESAIM, Bd. 19 (2), S. 460-485.
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Kunisch, K.; Wachsmuth, D. (2013) On time optimal control of the wave equation and its numerical realization as parametric optimization problem. SIAM Journal on Control and Optimization, Bd. 51 (2), S. 1232-1262.
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Herzog, R.; Kunisch, K.; Sass, J. (2013, online: 2012) Primal-dual methods for the computation of trading regions under proportional transaction costs. Mathematical Methods of Operations Research, Bd. 77 (1), S. 101-130.
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Bredies, K.; Kunisch, K.; Valkonen, T. (2013) Properties of L1-TGV2: The one-dimensional case. Journal of Mathematical Analysis and Applications, Bd. 398 (1), S. 438-454.
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Kunisch, K.; Cacas, E.; Clason, C. (2013) Parabolic control problems in measure spaces with sparse solutions. SIAM Journal on Control and Optimization, Bd. 51 (1), S. 28-63.
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Kasumba, H.; Kunisch, K. (online: 2012) Vortex control of instationary channel flows using translation invariant cost functionals. Computational Optimization and applications, Bd. 52 (3), S. 1-37.
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Kunisch, K.; Wang, L. (2012) Time optimal control of the Fitzhugh-Nagumo equation. Journal of Mathematical Analysis and Applications, Bd. 395 (1), S. 114-130.
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Kunisch, K.; Kasumba, H. (2012) On shape sensitivity analysis of the cost functional without shape sensitivity of the state variable. Control and cybernetics, Bd. 40 (4), S. 989-1017.
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Kasumba, Henry; Kunisch, Karl (2012, online: 2011) Vortex control in channel flows using translation invariant cost functionals. Computational Optimization and applications, Bd. 52 (3), S. 691-717.
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Kasumba, H.; Kunisch, K. (2012) On free surface PDE constrained shape optimization problems. Applied Mathematics and Computation, Bd. 218 (23), S. 11429–11450.
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Nagaiah, C.; Kunisch, K.; Plank, G. (2012) Optimal control approach to termination of re-entry waves in cardiac electrophysiology. Journal of Mathematical Biology (6), S. 1-30.
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Kunisch, K.; Wachsmuth, D. (2012) On Time Optimal Control of the Wave Equation, its Regularization and Optimality System. ESAIM.
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Clason, C.; Ito, K.; Kunisch, Karl (2010) An optimal L1 state constraint problem. ESAIM: M2AN.
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Clason, C.; Ito, K.; Kunisch, Karl (2010) An optimal L1 state constraint problem. ESAIM: M2AN.
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Nagaiah, Chamakuri; Kunisch, Karl (2010) Higher order optimization and adaptive numerical solution for optimal control of monodomain equations in cardiac electrophysiology. Applied Numerical Mathematics, Bd. 61, S. 53-65.
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Kasumba, H.; Kunisch, Karl (2010) Shape design optimization for viscous ows in open channel with a bump and an obstacle. Methods and Models in Automation and Robotics.
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Herzog, R.; Kunisch, Karl (2010) Algorithms for PDE - constrained optimization. GAMM, Bd. 33 (2), S. 163-176.
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Ito, K.; Kunisch, Karl; Schulz, V.; Gherman, I. (2010) Approximate nullspace iterations for KKT systems in model based optimization. SIAM Journal on Matrix Analysis and Applications, Bd. 31.
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Kunisch, Karl; Lu, X. (2010) Optimal control for multi-phase fluids Stokes Problems. Nonlinear Analysis Series A: Theory, Methods and Applications, Bd. 74.
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Kunisch, Karl; Volkwein, S. (2010) Optimal snapshot location for computing POD basis functions. ESAIM: M2AN, Bd. 44, S. 509-522.
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Clason, C.; Jin, B.; Kunisch, Karl (2010) A semismooth Newton Method for L1 data tting with automatic choice of regularization arameters and noise calibration. SIAM Journal on Imaging Sciences, Bd. 3, S. 199{231.
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Clason, C.; Kunisch, Karl (2010) A duality-based approach to elliptic control problems in non-re exive Banach spaces. ESAIM: COCV.
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Kunisch, Karl; Chang, Y.Z.; Liu, W.B.; Yan, N.N.; Li, R. (2010) Adaptive finite element approximation for a class of parameter estimation problems. Journal of Computational Mathematics, Bd. 28, S. 1-31.
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Clason, C.; Jin, B.; Kunisch, Karl (2010) A duality-based splitting method for L1-TV image restoration with automatic regularization parameter choice. SIAM Journal on Scientic Computing, Bd. 32 (3), S. 1484-1505.
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Ito, K.; Kunisch, Karl; Schulz, V.; Gherman, I. (2010) Approximate Nullspace Iterations for KKT Systems in Model Based Optimization. SIAM Journal on Matrix Analysis and Applications (31), S. 1835-1847.
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(2009) A Semi-Smooth NewtonMethod for Regularized State-Constrained Optimal Control of theNavier-Stokes Equations. Computing (78), S. 287-309.
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Optimal Vortex Reduction for In-stationary Flows Based on Translation Invariant Cost Functionals. SIAM J. Control and Optimization (46), S. 1368-1397.
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Optimal Control of Obstacle Problemsby H1-Obstacles. Applied Mathematics and Optimization (56), S. 1-17.
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Optimal Control for a StationaryMHD System in Velocity-Current Formulation. SIAM J. Control and Optimization, Bd. 45, S. 1822-1845.
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On the Choice of the Cost Functionalfor Optimal Vortex Reduction for Instationary Flows. Proceedings of Conference on Active Flow Control, Springer.
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Trading Regions under ProportionalTransaction Costs. Operations Research Proceedings, Springer, Berlin, S. 563-568.
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Constrained Dirichlet BoundaryControl in L2 for a Class of Evolution Equations. SIAM J. Control and Optimization (46), S. 1726-1753.
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Semi-Smooth Newton Methods for theSignorini Problem. Applications of Mathematics (53), S. 455-468.
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Reduced Order Optimal Control Based onApproximate Inertial Manifolds. SIAM J. Numerical Analysis.
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Ito, K.; Kunisch, Karl On the semi-smooth Newton method and its globalization., Bd. 118, S. 347-370.
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Hintermüller, M.; Kunisch, Karl Stationary Optimal Control Problems with Pointwise State Constraints. SIAM Journal on Optimization, Bd. 20, S. 1133-1156.
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Ito, K.; Kunisch, Karl Asymptotic Properties of Feedback Solutions for a Class of Quantum Control Problems. SIAM Journal on Control and Optimization, Bd. 48, S. 2323-2343.
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de los Reyes, J. C.,; Kunisch, Karl, Optimal Control of Partial Differential Equations with Affine Control Constraints. Control and Cybernetics.
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Kovtunenko, V.A.,; Kunisch, Karl; Ring, W. Propagation and Bifurcation of Cracks based on Implicit Surfaces and Discontinuous Velocities. Computing and Visualization in Science (12), S. 397-408.
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Griesse, Roland; Kunisch, Kar A Semi-Smooth Newton Method for Solving Elliptic Equations with Gradient Constraints. ESAIM, MMAN (43), S. 209-238.
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dde los Reyes, J.C.; Kunisch, Karl Optimal Control of Coupled Systems of PDE. International Series on Numerical Mathematics (158), S. 105-122.
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Hintermüller, M.; Kunisch, Karl PDE-Constrained Optimization Subject to Pointwise Constraints on the Control, the State and its Derivative. SIAM Journal on Optimization (20), S. 1133-1156.
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HASLINGER, J.; ITO, K.; KOZUBEK, T.; KUNISCH, Karl; PEICHL, G. On the Shape Derivative for Problems of Bernoulli Type. Interfaces and Free Boundaries (11), S. 317--330.
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Hintermüller, M.; Kovtunenko, V.; KUNISCH, Karl A Papkovich-Neuber-Based Numerical Approach to Cracks with Contact in 3D. IMA Journal of Applied Mathematics (74), S. 325-343.
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Axel Kröner, Karl Kunisch, Hasnaa Zidani Optimal feedback control of undamped wave equations by solving a HJB equation. ESAIM: Control, Optimisation and Calculus of Variations.
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Breiten, T.; Kunisch, K.; Pfeiffer, L. Control strategies for the Fokker-Planck equation. ESAIM: Control, Optimisation and Calculus of Variations.
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Court, Sébastien; Kunisch, Karl Almost global existence of weak solutions for the nonlinear elastodynamics system with general strain energy. Advances in Differential Equations, Bd. 23 (1/2), S. 135-160.
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Kunisch, K.; Pfeiffer, L. The effect of the terminal penalty in receding horizon control for a class of stabilization problems. ESAIM: Control, Optimisation and Calculus of Variations.
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Kunisch, Karl Optimal control of the principal coefficient in a scalar wave equation. Applied Mathematics and Optimization.
Book/Monograph (1)
Conference Contribution: Publication in Proceedings (4)
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Kunisch, Karl; Casas, Eduardo (2022) Boundary control of semilinear parabolic equations with non-smooth pointwise-integral control constraints in time-space.
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Court, Sebastien; Kunisch, Karl; Pfeiffer, Laurent (2018) HYBRID OPTIMAL CONTROL PROBLEMS FOR A CLASS OF SEMILINEAR PARABOLIC EQUATIONS., Bd. 11, S. 1031-1060.
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Kunisch, Karl; Kasumba, Henry Shape design optimization for viscous flows in a channel with a bump and an obstacle., 15th International Conference on Methods and Models in Automation and Robotics (15th International Conference on Methods and Models in Automation and Robotics), S. 284-289.
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Tobias Breiten, Karl Kunisch Feedback Stabilization of the Schlögl Model by LQG-Balanced Truncation. (European Control Conference 2015), Bd. 60.
Contribution in Collection (2)
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Kunisch, Karl; Casas, Eduardo,; Tröltzsch, Fredi (2022) Optimal control of PDEs and FE-approximation. In: Trélat, Emmanual; Zuazua, Enrique (Hrsg.), Numerical Control: Part A: Elsevier, S. 115–163.
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Kunisch, Karl; Kröner, A.; Vexler, B. Semismooth Newton methods for an optimal boundary control problem of wave equations. In: Diehl, M.; Glineur, F.; Jarlebring, E.; Michiels, W. (Hrsg.), Recent Advances in Optimization and its Applications in Engineering: Verlag, S. 389-398.
Editorship (4)
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Bredies, K.; Clason, C.; Kunisch, K.; Winckel, G. von (Hrsg.) (2013) Control and Optimization with PDE Constraints. In Reihe: International Series of Numerical Mathematics (Buch 164): Birkhäuser.
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Bredies, K.; Clason, C.; Kunisch, K.; Winckel, G. von (Hrsg.) (2013) Control and Optimization with PDE Constraints. In Reihe: International Series of Numerical Mathematics, hrsg. v. Birkhäuser.
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Kunisch, K.; Leugering, G.; Sprekels, J.; Tröltzsch, F. (Hrsg.) (2009) Optimal Control of Coupled Systems of Partial Differential Equations. In Reihe: International Series of Numerical Mathematics, hrsg. v. Birkhäuser.
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Kunisch, K.; Leugering, G.; Sprekels, J.; Tröltzsch, F. (Hrsg.) Control of Coupled Partial Differential Equations. In Reihe: International Series of Numerical Mathematics, hrsg. v. Birkhäuser.
Research Report (14)
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Kunisch, Karl; Rodrigues, Sergio S. (online: 2022) Global stabilizability to trajectories for the Schloegl equation in a Sobolev norm. Bericht-Nr. arXiv:2212.01888; arXiv:.
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Karl Kunisch, ; Donato Vásquez-Varas, ; Walter, Daniel (online: 2022) Learning Optimal Feedback Operators and their Polynomial Approximation. Bericht-Nr. 2208.14120v2; Arxiv:.
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Azmi, Behzad; Kunisch, Karl; Rodrigues, Sergio S. (2021) Saturated feedback stabilizability to trajectories for the Schloegl parabolic equation. Bericht-Nr. arXiv:2111.01329;.
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Kunisch, Karl; Rodrigues, Sergio S. (2018) Oblique projection based stabilizing feedback fornonautonomous coupled parabolic-ode systems. Bericht-Nr. RICAM-Report 2018-40; Linz.
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Kunisch, Karl; Rodrigues, Sergio S. (2017) Exponential Stabilization of Nonautonomous Linear Parabolic-Like Systems by a Finite Number of Locally Supported Actuators. Bericht-Nr. 2017-44; Johann Radon Institute for Computational and Applied Mathematics (RICAM): Linz.
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Kasumba, H.; Kunisch, K. (2012) Vortex control of instationary channel flows using translation invariant cost functionals. Bericht-Nr. 2012-07; Linz.
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Kasumba, Henry; Kunisch, Karl (2012, online: 2011) On a Free Surface PDE Constrained Shape Optimization Problem. Bericht-Nr. SFB-Report-2011-019;.
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Karl Kunisch, Daniel Wachsmuth (2011) Time optimal control of the wave equation, its regularization and numerical realization. Bericht-Nr. 2011-16; RICAM:.
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Kunisch, Karl; Liang, Kewei; Lu, Xiliang (2010) Optimal Control for an Elliptic System with Polygonal State Constraints.
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Karl Kunisch, Daniel Wachsmuth (2010) Path-following for Optimal Control of Stationary Variational Inequalities. Bericht-Nr. 2010-01; RICAM: Linz.
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Karl Kunisch, Daniel Wachsmuth (2009) Sufficient Optimality Conditions and Semi-SmoothNewton Methods for Optimal Control of Stationary VariationalInequalities. Bericht-Nr. 2009-04; RICAM: Linz.
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Karl Kunisch, ; Lu, Xiliang (2008) Optimal Control for Multi-phase Fluid Stokes Problems.
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Karl Kunisch, Xiliang Lu Optimal Control for an Elliptic System with Pointwise Nonlinear Control Constraint.
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Kasumba, Henry; Kunisch, Karl On shape sensitivity analysis of the cost functional without shape sensitivity of the state variable. Bericht-Nr. 20011-07;.
Other Publication (2)
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Kalise, Dante; Kunisch, Karl (2017) Polynomial approximation of high-dimensional Hamilton-Jacobi-Bellman equations and applications to feedback control of semilinear parabolic PDEs. Arxiv preprint arXiv:1702.04400, S. 1--32.
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Kunisch, Karl; Lu, Xiliang Optimal control for an elliptic system with pointwise nonlinear control constraints.