Guth, Philipp A.; Kunisch, Karl; Rodrigues, Sergio S. (2025, online: 2024) Stabilization of uncertain linear dynamics: an offline-online strategy. Math. Control Relat. Fields., Bd. Early Access, S. 1-30.
Ducomet, Bernard; Necasova, Sarka; Simon, John Sebastian H. (2024) Global solutions of Euler-Maxwell equations with dissipation. Annali di Matematica Pura ed Applicata (1923 -), Bd. -, S. -.
Karl Kunisch, ; Vásquez-Varas, Donato (2024) Consistent smooth approximation of feedback laws for infinite horizon control problems with non-smooth value functions. Journal of Differential Equations, Bd. 411, S. 438-477.
Rodrigues, Sergio S.; Seifu, Dagmawi A. (2024) Stabilization of 2D Navier-Stokes equations by means of actuators with locally supported vorticity. J. Dyn. Control Syst., Bd. 30, S. art8.
Kunisch, Karl; Rodrigues, Sergio S.; Walter, Daniel (2024) Stabilizability for nonautonomous linear parabolic equations with actuators as distributions. ESAIM: Control Optim. Calc. Var., Bd. 30, S. art43.
Guth, Philipp A.; Schillings, Claudia; Weissmann, Simon (online: 2024) One-Shot Learning of Surrogates in PDE-Constrained Optimization under Uncertainty. SIAM/ASA J. UNCERTAINTY QUANTIFICATION, Bd. 12 (2), S. 614--645.
Guth, Philipp A.; Kunisch, Karl; Rodrigues, Sérgio S. (online: 2024) Tracking optimal feedback control under uncertain parameters. Physica D: Nonlinear Phenomena, Bd. 467, S. 134245.
Nečasová, Šárka; Simon, John Sebastian H. (2024) On a Nonlocal Two-Phase Flow with Convective Heat Transfer. Journal of Nonlinear Science, Bd. 34 (65), S. 1-32.
Guth, Philipp A.; Kaarnioja, Vesa (2024) Generalized dimension truncation error analysis for high-dimensional numerical integration: lognormal setting and beyond. SIAM J. Numer. Anal., Bd. 62 (2), S. 872-892.
Corella, Alberto Domínguez; Jork, Nicolai; Nečasová, Šárka; Simon, John Sebastian H. (2024) Stability analysis of the Navier–Stokes velocity trackingproblem with bang-bang controls. Journal of Optimization Theory and Applications, Bd. 201, S. 790-824.
Guth, Philipp A.; Kaarnioja, Vesa; Kuo, Frances Y.; Schillings, Claudia; Sloan, Ian H. (online: 2024) Parabolic PDE-constrained optimal control under uncertainty with entropic risk measure using QMC integration. Numerische Mathematik, Bd. 156, S. 565--608.
Casas, Eduardo; Kunisch, Karl (2023) Infinite Horizon Optimal Control for a General Class of Semilinear Parabolic Equations. APPL MATH OPT, Bd. 88 (2), S. ARTN 47.
Donato Vásquez-Varas, ; Kunisch, Karl (2023) Optimal polynomial feedback laws for finite horizon control problems. Computers & Mathematics with Applications, Bd. 148, S. 113-125.
Karl Kunisch, ; Vásquez-Varas, Donato; Walter, Daniel (2023) Learning Optimal Feedback Operators and their Sparse Polynomial Approximations. Journal of Machine Learning Research, Bd. 40, S. 1-38.
Kovtunenko, Victor A.; Kunisch, Karl (2023) Directional differentiability for shape optimization with variational inequalities as constraints. ESAIM CONTR OPTIM CA, Bd. 29, S. ARTN 64.
Guth, Philipp A.; Van Barel, Andreas (2023) Multilevel quasi-Monte Carlo for optimization under uncertainty. NUMER MATH, Bd. 154 (3-4), S. 443-484.
Breiten, Tobias; Kunisch, Karl K. (2023) IMPROVING THE CONVERGENCE RATES FOR THE KINETIC FOKKER-PLANCK EQUATION BY OPTIMAL CONTROL. SIAM J CONTROL OPTIM, Bd. 61 (3), S. 1557-1581.
Kunisch, Karl; Rodrigues, Sergio S. (2023) Global stabilizability to trajectories for the Schloegl equation in a Sobolev norm. Discrete Contin. Dyn. Syst., Bd. 43 (6), S. 2457-2493.
Casas, Eduardo; Kunisch, Karl (2023) Infinite horizon optimal control problems with discount factoron the state, Part I: Analysis of the controlled state equation. SIAM J. Control Optim, Bd. 61 (3), S. 1375-1393.
Casas, Eduardo; Kunisch, Karl (2023) Infinite horizon optimal control problems with discount factor on the state, Part II: Analysis of the control problem. SIAM J. Control Optim, Bd. 61 (3), S. 1438-1459.
Kunisch, Karl; Walter, Daniel (2023) Optimal feedback control of dynamical systems via value-function approximation. Comptes Rendus Mécanique, Bd. 351 (S1), S. 1-37.
Kroener, Axel; Rautenberg, Carlos N.; Rodrigues, Sergio S. (online: 2023) Existence, uniqueness, and stabilization results for parabolic variational inequalities. ESAIM Control Optim. Calc., Bd. 29, S. art. 37.
Rodrigues, Sergio S. (2023, online: 2022) Stabilization of nonautonomous linear parabolic-like equations: oblique projections versus Riccati feedbacks. Evol. Equ. Control Theory, Bd. 12(2), S. 647-686.
Trautmann, Philip; Walter, Daniel (2023) A fast primal-dual-active-jump method for minimization in BV((0, T); R-d). OPTIMIZATION.
Azmi, Behzad; Kunisch, Karl; Rodrigues, Sergio S. (2023) Saturated feedback stabilizability to trajectories for the Schloegl parabolic equation. IEEE Trans. Autom. Control, Bd. 68 (12), S. 7089-7103.
Rodrigues, Sergio S. (2023, online: 2022) Remarks on finite and infinite time-horizon optimal control problems. Syst. Control Lett., Bd. 172 (105441), S. --.
Kunisch, Karl; Rodrigues, Sergio S. (2023) GLOBAL STABILIZABILITY TO TRAJECTORIES FOR THE SCHLO spacing diaeresis GL EQUATION IN A SOBOLEV NORM. DISCRETE CONT DYN-A.
Rodrigues, Sergio S.; Seifu, Dagmawi A. (2023) Feedback semiglobal stabilization to trajectories for the Kuramoto-Sivashinsky equation. IMA J. Math. Control Inform., Bd. 40 (1), S. 38-80.
Azmi, Behzad; Kunisch, Karl K.; Herrmann, Lukas (online: 2023) Analysis of rhc for stabilization of nonautonomous parabolic equations under uncertainty. SIAM J CONTROL OPTIM.
Court, Sebastien; Kunisch, Karl (2022) DESIGN OF THE MONODOMAIN MODEL BY ARTIFICIAL NEURAL NETWORKS. Discret. Contin. Dyn. Syst.
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.
Kunisch, Karl; Walter, Daniel (2022) ON FAST CONVERGENCE RATES FOR GENERALIZED CONDITIONAL GRADIENT METHODS WITH BACKTRACKING STEPSIZE. NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION.
Casas, Eduardo; Kunisch, Karl (online: 2022) Infinite Horizon Optimal Control Problems for a Class of Semilinear Parabolic Equations. SIAM J. Control Optim., Bd. 60 (4), S. 2070–2094.
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.
Kovtunenko, Victor A.; Kunisch, Karl (2022) Shape Derivative for Penalty-Constrained Nonsmooth-Nonconvex Optimization: Cohesive Crack Problem. J. Optim. Theory Appl.
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.
Holler, Gernot; Kunisch, Karl (2022) LEARNING NONLOCAL REGULARIZATION OPERATORS. Math. Control Relat. Fields, Bd. 12 (1), S. 81-114.
Kobler, Erich; Kunisch, Karl; Effland, Alexander; Pock, Thomas (2022) Total deep variation for linear inverse problems. Transactions on Pattern Analysis and Machine Intelligence.
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).
Kimiaei, Morteza; Neumaier, Arnold; Azmi, Behzad (2022) LMBOPT: a limited memory method for bound-constrained optimization. MATHEMATICAL PROGRAMMING COMPUTATION.
Peralta, Gilbert; Kunisch, Karl (2022) Mixed and hybrid Petrov-Galerkin finite element discretization for optimal control of the wave equation. Numer. Math.
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.
Rodrigues, Sergio S. (2021) Semiglobal Oblique Projection Exponential Dynamical Observers for Nonautonomous Semilinear Parabolic-Like Equations. J. Nonlinear Sci., Bd. 31 (6), S. ARTN 100.
Rodrigues, Sergio S. (2021, online: 2018) Feedback Boundary Stabilization to Trajectories for 3DNavier–Stokes Equations. Appl. Math. Optim., Bd. 84 (2), S. 1149-1186.
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.
Rodrigues, Sergio S. (2021) Oblique projection exponential dynamical observer for nonautonomous linear parabolic-like equations. SIAM J. Control Optim., Bd. 59 (1), S. 464-488.
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.
Kunisch, Karl; Trautmann, Philip (2021) An Inverse Problem Involving a Viscous Eikonal Equation with Applications in Electrophysiology. VIETNAM JOURNAL OF MATHEMATICS.
Kundu, Sudeep; Kunisch, Karl (2021) Policy iteration for Hamilton-Jacobi-Bellman equations with control constraints. Comput. Optim. Appl.
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.
Pieper, Konstantin; Walter, Daniel (2021) LINEAR CONVERGENCE OF ACCELERATED CONDITIONAL GRADIENT ALGORITHMS IN SPACES OF MEASURES. ESAIM-Control OPtim. Calc. Var., Bd. 27, S. ARTN 38.
Rodrigues, Sergio S. (online: 2021) Oblique projection output-based feedback exponential stabilization ofnonautonomous parabolic equations. Automatica, Bd. 129, S. art. no. 109621.
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.
Breiten, Tobias; Kunisch, Karl (2021) Neural network based nonlinear observers. Syst. Control Lett., Bd. 148, S. ARTN 104829.
Kalise, Dante; Kunisch, Karl; Rao, Zhiping (online: 2020) Sparse and switching infinite horizon optimal controls with mixed-norm penalizations. ESAIM: COCV (26), S. 25.
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.
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.
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.
Pieper, Konstantin; Tang, Bao Quoc; Trautmann, Philip; Walter, Daniel (2020) Inverse point source location with the Helmholtz equation on a bounded domain. Computational Optimization and Applications, Bd. 77, S. 213–249.
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.
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.
Azmi, Behzad; Kunisch, Karl (2020) Analysis of the Barzilai-Borwein Step-Sizes for Problems in Hilbert Spaces. J. Optim. Theory Appl.
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.
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.
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.
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.
Casas, E.; Kunisch, K. (2019) Using sparse control methods to identify sources in linear diffusion-convection equations. Inverse Problems, Bd. 35 (11), S. 114002.
Rodrigues, Sergio S. (online: 2019) Semiglobal exponential stabilization of nonautonomous semilinear parabolic-like systems. Evol. Equ. Control Theory, Bd. -, S. -.
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.
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.
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.
Neitzel, Ira; Pieper, Konstantin; Vexler, Boris; Walter, Daniel (2019) A sparse control approach to optimal sensor placement in PDE-constrained parameter estimation problems. Numerische Mathematik, Bd. 143, S. 943-984.
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.
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.
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.
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.
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.
Bonifacius, L.; Kunisch, K. (2019) Time-optimality by distance-optimality for parabolic control systems. ESAIM: Mathematical Modelling and Numerical Analysis.
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.
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.
G. Peralta, ; Kunisch, K. (2018) Analysis and Finite Element Discretization for Optimal Control of a Linear Fluid-Structure Interaction Problem with Delay. IMAJNA.
Iglesias, José A.; Sturm, Kevin; Wechsung, Florian (2018) Two-Dimensional Shape Optimization with Nearly Conformal Transformations. SIAM Journal on Scientific Computing, Bd. 40 (6), S. A3807-A3830.
Rodrigues, Sergio S.; Sturm, Kevin (2018) On the explicit feedback stabilisation of one-dimensional linear nonautonomous parabolicequations via oblique projections. IMA J. Math. Control Inform., Bd. vv, S. pp.
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.
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.
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.
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.
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.
G. Holler, ; K. Kunisch, ; Barnard, R.C. (online: 2018) A bilevel approach for parameter learning in Inverse Problems. Inverse Problems, Bd. 34 (11).
V. Kovtunenko, ; Kunisch, K. (online: 2018) Revisiting gernalized fem: a petrov-galerkin enrichment based fem interpolation for helmholtz problem. Calcolo, Bd. 55 (3).
Phan, Duy; Rodrigues, Sergio S. (2018) Stabilization to trajectories for parabolic equations. Math. Control Signals Syst., Bd. 30 (2), S. 11.
Phan, Duy; Rodrigues, Sergio S. (2018) Approximate controllability for Navier-Stokesequations in 3D rectangles under Lions boundaryconditions. J Dyn Control Syst, Bd. vv, S. pp.
Z. Peng, ; Kunisch, K. (2018) Optimal Control of Elliptic Variational–Hemivariational Inequalities. Journal of Optimization Theory and Applications, Bd. 178 (1), S. 1-25.
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.
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.
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.
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.
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.
Friesecke, Gero; Henneke, Felix; Kunisch, Karl (2018) FREQUENCY-SPARSE OPTIMAL QUANTUM CONTROL. Math. Control Relat. Fields, Bd. 8 (1), S. 155-176.
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.
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.
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.
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.
Rodrigues, Sergio S. (online: 2018) Feedback Boundary Stabilization to Trajectories for 3DNavier-Stokes Equations. Appl. Math. Optim., Bd. -, S. -.
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.
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.
Ghilli, Daria; Kunisch, Karl (2017) A monotone scheme for sparsity optimization in lp with p Є (0,1]. IFAC-PapersOnLine, Bd. 50 (1).
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).
Clason, Christian; Rund, Armin; Kunisch, Karl (2017) Nonconvex penalization of switching control of partial differential equations. Syst. Control Lett., Bd. 106, S. 1-8.
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.
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.
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.
Albi, Giacomo; Choi, Young-Pil; Fornasier, Massimo,; Kalise, Dante (2017) Mean field control hierarchy. Applied Mathematics and Optimization, Bd. 76 (1), S. 93--135.
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.
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.
Rodrigues, Sergio S.; Phan, Duy (2017) Gevrey regularity for Navier-Stokes equations under Lions boundary conditions. J. Funct. Anal., Bd. 272 (7), S. 2865-2898.
Kunisch, Karl; Rao, Zhiping (2017, online: 2015) Minimal time problem with impulsive controls. Applied Mathematics & Optimization, Bd. 75 (1), S. 75-97.
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.
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.
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.
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.
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.
Albi, Giacomo; Bongini, Mattia; Cristiani, Emiliano; Kalise, Dante (2016) Invisible control of self-organizing agents leaving unknown environments. SIAM Journal on Applied Mathematics, Bd. 76 (4), S. 1683–1710.
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.
Fuentes, Esteban; Kalise, Dante; Kennel, Ralph (2016) Smoothened quasi-time-optimal control for the torsional torque in a two-mass-system. IEEE Transactions on Industrial Electronics, Bd. 63 (6), S. 3954-3963.
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.
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.
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.
Braun, Philipp; Hernandez, Erwin; Kalise, Dante (2016) Reduced-order LQG control of a Timoshenko beam model. Bulletin of the Brazilian Mathematical Society, Bd. 47 (1), S. 143-155.
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.
Alla, Alessandro; Falcone, Maurizio; Kalise, Dante (2016) A HJB-POD feedback synthesis approach for the wave equation. Bulletin of the Brazilian Mathematical Society, Bd. 47 (1), S. 51-64.
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.
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.
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.
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.
M. Bongini, M. Fornasier and D. Kalise (2015) (Un)conditional consensus emergence under perturbed and decentralized feedback controls. Discrete and Continuous Dynamical Systems - Series A, Bd. 35 (9), S. 4071 - 4094.
O. Bokanowski, M. Falcone, R. Ferretti, L. Gruene, D. Kalise and H. Zidani (2015) Value iteration convergence of epsilon-monotone schemes for stationary Hamilton-Jacobi equations. Discrete and Continuous Dynamical Systems - Series A, Bd. 35 (9), S. 4041 - 4070.
Kröner, Axel; Rodrigues, Sérgio S. (2015) Remarks on the internal exponential stabilization to a nonstationary solution for 1D Burgers equations. SIAM J. Control Optim., Bd. 53 (2), S. 1020-1055.
Rodrigues, Sérgio S. (2015) Boundary observability inequalites for the 3D Oseen-Stokes system and applications. ESAIM Control Optim. Calc. Var., Bd. 21 (3), S. 723-756.
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.
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.
A. Alla, M. Falcone and D. Kalise (online: 2015) An efficient policy iteration algorithm for dynamic programming equations. SIAM Journal on Scientific Computing, Bd. 37 (1), S. 181-200.
Martin Rueckl, Ian Parker, Jonathan S. Marchant, Chamakuri Nagaiah, Friedrich W. Johenning, Sten Ruediger (2015) Modulation of Elementary Calcium Release Mediates a Transition from Puffs to Waves in an IP3R Cluster Model. PLoS Computational Biology, Bd. 11 (1), S. 1-12.
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.
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.
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.
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.
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.
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.
Sebastian Götschel, Nagaiah Chamakuri, Karl Kunisch, Martin Weiser (2014, online: 2013) Lossy Compression in Optimal Control of Cardiac Defibrillation. Journal of Scientific Computing, Bd. 60 (1), S. 35-59.
E. Fuentes, D. Kalise, R. Kennel and J. Rodríguez (2014) Cascade-Free Predictive Speed Control for Electrical Drives. IEEE Transactions on Industrial Electronics, Bd. 61 (5), S. 9.
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.
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.
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.
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.
Kasumba, Henry (2014) Shape optimization approaches to Free Surface Problems. International Journal for Numerical Methods in Fluids, Bd. 74 (11), S. 81-845.
Kasumba, Henry; Kunisch, Karl (2014) On computation of the shape Hessian of the cost functional without shape sensitivity of the state variable. Optimization Theory and Applications, Bd. 160, S. 26.
Ito, Kazufumi; Kunisch, Karl (2014) A variational approach to sparsity optimization based on Lagrange multiplier theory. Inverse Problems, Bd. 30 (1), S. 015001.
Guglielmi, R. (2014) Stabilization and control of partial differential equations of evolution. Rendiconti di Matematica e delle sue Applicazioni. Serie VII, Bd. 33 (3-4), S. 83--222.
Beauchard, K.; Cannarsa, P.; Guglielmi, R. (2014) Null controllability of Grushin-type operators in dimension two. Journal of European Mathematical Society, Bd. 16 (1), S. 67-101.
Rodrigues, Sérgio S.; Aguiar, A. Pedro (online: 2014) On the iinearization up to multi-output injection for a class of systems with implicitly defined outputs. IEEE Trans. Automat. Control, Bd. 59 (5), S. 1310 -1315.
Rodrigues, Sérgio S. (2014, online: 2013) Local exact boundary controllability of 3D Navier-Stokes equations. Nonlinear Anal., Bd. 95, S. 175-190.
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.
Götschel, S.; Chamakuri, N.; Kunisch, K.; Weiser, M. (online: 2013) Lossy Compression in Optimal Control of Cardiac Defibrillation. Journal on Scientific Computing.
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.
Kröner, Axel; Kunisch, Karl (online: 2013) A minimum effort optimal control problem for the wave equation. Computational Optimization and Applications.
Fernández-Cara, Enrique; Horsin, Thierry; Kasumba, Henry (2013) Some inverse and control problems for fluids. Annales Mathématiques Blaise Pascal, Bd. 20 (1), S. 101-138.
Kröner, Axel (2013) Semi-smooth Newton methods for optimal control of the dynamical Lamé system with control constraints. Numerical Functional Analysis and Optimization, Bd. 34, S. 7.
Kunisch, K.; Wang, L. (2013) Time optimal control of the heat equation with pointwise control constraints. ESAIM, Bd. 19 (2), S. 460-485.
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.
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.
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.
Ch. Nagaiah, N. Suresh Kumar, A.Bueck, G.Warnecke (2013) Parallel and high resolution numerical solution of concentration andtemperature distributions in fluidized beds. Computers and Chemical Engineering, Bd. 52, S. 122-133.
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.
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.
Chamakuri, N.; Sten, R. (2012) Whole-cell simulation of hybrid stochastic and deterministic calcium dynamics in 3D geometry. Journal of Computational Interdisciplinary Sciences, Bd. 3 (1-2), S. 3-18.
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.
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.
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.
Kasumba, H.; Kunisch, K. (2012) On free surface PDE constrained shape optimization problems. Applied Mathematics and Computation, Bd. 218 (23), S. 11429–11450.
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.
Kunisch, K.; Wachsmuth, D. (2012) On Time Optimal Control of the Wave Equation, its Regularization and Optimality System. ESAIM.
Gerd Wachsmuth, Daniel Wachsmuth (2011) Convergence and regularization results for optimal control problems with sparsity functional. ESAIM: Control, Optimisation and Calculus of Variations, Bd. 17, S. 858-886.
Kröner, Axel (2011) Adaptive finite element methods for optimal control of second order hyperbolic equations. Computational Methods in Applied Mathematics, Bd. 11 (2), S. 214-240.
Viorel Barbu, Sérgio S. Rodrigues and Armen Shirikyan (2011) Internal exponential stabilization to a nonstationary solution for 3D Navier-Stokes equations. SIAM J. Control Optim., Bd. 49 (4), S. 1454-1478.
Arnd Roesch, ; Wachsmuth, Daniel (2011) Semi-smooth Newton's Method for an optimal control problem with control and mixed control-state constraints. Optimization Methods and Software, Bd. 26, S. 169-186.
Alabau-Boussouira, F.; Cannarsa, P.; Guglielmi, R. (2011) Indirect stabilization of weakly coupled systems with hybrid boundary conditions. Mathematical Control and Related Fields, Bd. 1 (4), S. 413--436.
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.
Herzog, R.; Kunisch, Karl (2010) Algorithms for PDE - constrained optimization. GAMM, Bd. 33 (2), S. 163-176.
Clason, C.; Ito, K.; Kunisch, Karl (2010) An optimal L1 state constraint problem. ESAIM: M2AN.
Clason, C.; Ito, K.; Kunisch, Karl (2010) An optimal L1 state constraint problem. ESAIM: M2AN.
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.
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.
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.
Kunisch, Karl; Lu, X. (2010) Optimal control for multi-phase fluids Stokes Problems. Nonlinear Analysis Series A: Theory, Methods and Applications, Bd. 74.
Kunisch, Karl; Volkwein, S. (2010) Optimal snapshot location for computing POD basis functions. ESAIM: M2AN, Bd. 44, S. 509-522.
Clason, C.; Kunisch, Karl (2010) A duality-based approach to elliptic control problems in non-re exive Banach spaces. ESAIM: COCV.
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.
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.
D. Wachsmuth, T. Roubíček (2010) Optimal control of planar flow of incompressible non-Newtonian fluids. Journal for Analysis and its Applications, Bd. 29 (3), S. 351-376.
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.
C. John, D. Wachsmuth (2009) Optimal Dirichlet boundary control of Navier-Stokes equations with state constraint. Numerical Functional Analysis and Optimization, Bd. 30 (11 & 12), S. 1309 - 1338.
Griesse, Roland; Wachsmuth, Daniel (2009) Sensitivity Analysis and the Adjoint Update Strategy for Optimal Control Problems with Mixed Control-State Constraints. Computational Optimization and Applications, Bd. 44 (1), S. 57-81.
Dempe, Ayalew Getachew Mersha and Stephan (2009) Direct search algorithm for bilevel programming problems. Computational Optimization and Applications.
Daniel Wachsmuth, Arnd Roesch (2008) Numerical verification of optimality conditions. SIAM Journal Control and Optimization, Bd. 47 (5), S. 2557-2581.
Griesse, Roland; Grund, Thomas; Wachsmuth, Daniel (2008) Update Strategies for Perturbed Nonsmooth Equations. Optimization Methods and Software.
Rösch, A.; Wachsmuth, D. (2005) Regularity of solutions for an optimal control problem with mixed control-state constraints..
Hannes Meinlschmidt, Joachim Rehberg Extrapolated elliptic regularity and application to the van Roosbroeck system of semiconductor equations. Journal of Differential Equations.
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.
Kunisch, Karl Optimal control of the principal coefficient in a scalar wave equation. Applied Mathematics and Optimization.
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.
Xiliang Lu, Ping Lin Error Estimate of the P1 Nonconforming FiniteElement Method for the Penalized Unsteady Navier-Stokes Equations. Numerische Mathematik, Bd. accept.
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.
Hintermüller, M.; Kunisch, Karl Stationary Optimal Control Problems with Pointwise State Constraints. SIAM Journal on Optimization, Bd. 20, S. 1133-1156.
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.
Ito, K.; Kunisch, Karl On the semi-smooth Newton method and its globalization., Bd. 118, S. 347-370.
de los Reyes, J. C.,; Kunisch, Karl, Optimal Control of Partial Differential Equations with Affine Control Constraints. Control and Cybernetics.
dde los Reyes, J.C.; Kunisch, Karl Optimal Control of Coupled Systems of PDE. International Series on Numerical Mathematics (158), S. 105-122.
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.
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.
Griesse, Roland; Kunisch, Kar A Semi-Smooth Newton Method for Solving Elliptic Equations with Gradient Constraints. ESAIM, MMAN (43), S. 209-238.
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.
Chamakuri Nagaiah, Sten Ruediger, Gerald Warnecke, Martin Falcke Adaptive space and time hybrid simulations of reaction-diffusion systems in intracellular calcium dynamics. Applied Mathematics and Computations, Bd. 218, S. 10194-10210.
Ruediger, Nagaiah Chamakuri and Sten Whole-cell simulations of hybrid stochastic and deterministic calcium dynamics in 3D geometry. Journal of Computational Interdisciplinary Sciences, Bd. 3 (1-2), S. 3-18.
Breiten, T.; Kunisch, K.; Pfeiffer, L. Control strategies for the Fokker-Planck equation. ESAIM: Control, Optimisation and Calculus of Variations.
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.