Peer Reviewed Journal Publication

  • Optimal Control of a Nonlinear Kinetic Fokker--planck Equation. / Breiten, Tobias; Kunisch, Karl.
    in: SIAM Journal on Mathematical Analysis, Jahrgang 57, Nr. 6, 31.12.2025, S. 6685-6708.
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  • On feedback stabilization for the Cahn–Hilliard equation and its numerical approximation. / Egger, Herbert; Fritz, Marvin; Kunisch, Karl et al.
    in: IMA Journal of Numerical Analysis, 10.12.2025.
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  • Second-order Analysis for the Optimal Selection of Time Delays. / Kunisch, Karl; Troeltzsch, Fredi.
    in: Mathematical Control and Related Fields, Jahrgang 15, Nr. 4, 12.2025, S. 1470-1495.
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  • Quantitative unique continuation and observability on an equidistributed set for the diffusion equation in $ mathbb R^N $. / Duan, Yueliang; Yu, Huaiqiang; Zhang, Can.
    in: Discrete and Continuous Dynamical Systems- Series A, Jahrgang 49, Nr. 0, 16.10.2025, S. 222-245 EP -.
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  • First- and second-order optimality conditions for the control of infinite horizon Navier-Stokes equations. / Casas, Eduardo; Kunisch, Karl.
    in: Optimization, Jahrgang 74, Nr. 13, 03.10.2025, S. 3037-3080.
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  • Stabilization to trajectories of nonisothermal Cahn–Hilliard equations. / Azmi, Behzad; Fritz, Marvin; Rodrigues, Sergio S.
    in: ESAIM - Control, Optimisation and Calculus of Variations, Jahrgang 31, Nr. 31, 81, 26.09.2025.
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  • Quasi-Monte Carlo for Partial Differential Equations with Generalized Gaussian Input Uncertainty. / Guth, Philipp; Kaarnioja, Vesa.
    in: SIAM Journal on Numerical Analysis, Jahrgang 2025, Nr. 63(4), 31.08.2025, S. 1666-1690.
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  • Low-regret shape optimization in the presence of missing Dirichlet data. / Kunisch, Karl; Simon, John.
    in: Inverse Problems, Jahrgang 41, Nr. 8, 085012, 29.08.2025.
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  • Ensemble Feedback Stabilization of Linear Systems. / Guth, Philipp; Kunisch, Karl; Rodrigues, Sergio S.
    in: Applied Mathematics and Optimization, Jahrgang 92, 07.08.2025.
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  • Local well-posedness of the minimum energy estimator for a defocusing cubic wave equation. / Schröder, Jesper.
    in: Journal of Differential Equations, Jahrgang 435, 113258, 05.08.2025.
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  • Stabilization of uncertain linear dynamics: an offline-online strategy. / Philipp, A; Kunisch, Karl; Rodrigues, Sergio S.
    in: Mathematical Control and Related Fields, Jahrgang Early Access, 15.06.2025, S. 1-30.
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  • SPACE-TIME <i>L</i><SUP>∞</SUP>-ESTIMATES FOR SOLUTIONS OF INFINITE HORIZON SEMILINEAR PARABOLIC EQUATIONS. / Casas, Eduardo; Kunisch, Karl.
    in: Communications on Pure and Applied Analysis, Jahrgang 24, Nr. 4, 04.2025, S. 482-506.
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  • Output-Based Receding Horizon Stabilizing Control for Linear Parabolic Equations. / Azmi, Behzad; Rodrigues, Sergio S.
    in: Journal of Optimization Theory and Applications, Jahrgang 205, Nr. 1, 5, 04.2025.
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  • Frequency-domain criterion on the stabilizability for infinite-dimensional linear control systems. / Kunisch, Karl; Wang, Gengsheng; Yu, Huaiqiang.
    in: Journal des Mathematiques Pures et Appliquees, Jahrgang 196, 103690, 04.2025.
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  • Dynamic output-based feedback stabilizability for linear parabolic equations with memory. / Khan, Arbaz; Mahajan, Sumit; Rodrigues, Sergio S.
    in: ESAIM: Mathematical Modelling and Numerical Analysis, 2025.
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  • Quasi--Monte Carlo Integration for Feedback Control Under Uncertaintyast. / Guth, Philipp; Kritzer, Peter; Kunisch, Karl.
    in: SIAM-ASA Journal on Uncertainty Quantification, Jahrgang 13, Nr. 3, 2025, S. 1228-1264.
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  • Analysis of Unregularized Optimal Control Problems Constrained by the Two-Dimensional Boussinesq System. / Jork, Nicolai Alexander; Simon, John Sebastian.
    in: SIAM Journal on Mathematical Analysis, Jahrgang 57, Nr. 4, 2025, S. 3910-3952.
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  • Numerical Realization of the Mortensen Observer via a Hessian-Augmented Polynomial Approximation of the Value Function. / Breiten, Tobias; Kunisch, Karl; Schröder, Jesper.
    in: SIAM Journal on Scientific Computing, Jahrgang 47, Nr. 1, 2025, S. A181-A206.
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  • Global solutions of Euler-Maxwell equations with dissipation. / Ducomet, Bernard; Necasova, Sarka; Simon, John Sebastian H.
    in: Annali di Matematica Pura ed Applicata, 31.12.2024, S. -.
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  • Consistent smooth approximation of feedback laws for infinite horizon control problems with non-smooth value functions. / Kunisch, Karl; Vásquez-Varas, Donato.
    in: Journal of Differential Equations, Jahrgang 411, 05.12.2024, S. 438-477.
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  • Stabilizability for nonautonomous linear parabolic equations with actuators as distributions. / Kunisch, Karl; Rodrigues, Sergio S; Walter, Daniel.
    in: ESAIM - Control, Optimisation and Calculus of Variations, Jahrgang 30, 15.06.2024, S. art43.
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  • Stabilization of 2D Navier-Stokes equations by means of actuators with locally supported vorticity. / Rodrigues, Sergio S; Seifu, Dagmawi A.
    in: Journal of Dynamical and Control Systems, Jahrgang 30, 15.06.2024, S. art8.
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  • One-Shot Learning of Surrogates in PDE-Constrained Optimization under Uncertainty. / Guth, Philipp A; Schillings, Claudia; Weissmann, Simon.
    in: SIAM-ASA Journal on Uncertainty Quantification, Jahrgang 12, Nr. 2, 12.06.2024, S. 614--645.
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  • Tracking optimal feedback control under uncertain parameters. / Guth, Philipp A; Kunisch, Karl; Rodrigues, Sérgio S.
    in: Physica D: Nonlinear Phenomena, Jahrgang 467, 05.06.2024, S. 134245.
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  • On a Nonlocal Two-Phase Flow with Convective Heat Transfer. / Nečasová, Šárka; John, Sebastian H.
    in: Journal of Nonlinear Science, Jahrgang 34, Nr. 65, 22.05.2024, S. 1-32.
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  • Generalized dimension truncation error analysis for high-dimensional numerical integration: lognormal setting and beyond. / Philipp, A; Kaarnioja, Vesa.
    in: SIAM Journal on Numerical Analysis, Jahrgang 62, Nr. 2, 30.04.2024, S. 872-892.
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  • Stability analysis of the Navier–Stokes velocity trackingproblem with bang-bang controls. / Corella, Alberto Domínguez; Jork, Nicolai; Nečasová, Šárka et al.
    in: Journal of Optimization Theory and Applications, Jahrgang 201, 07.04.2024, S. 790-824.
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  • Parabolic PDE-constrained optimal control under uncertainty with entropic risk measure using QMC integration. / Philipp, A; Kaarnioja, Vesa; Frances, Y et al.
    in: Numerische Mathematik, Jahrgang 156, 11.03.2024, S. 565--608.
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  • Optimal polynomial feedback laws for finite horizon control problems. / Vásquez-Varas, Donato; Kunisch, Karl.
    in: Computers and Mathematics with Applications, Jahrgang 148, 15.10.2023, S. 113-125.
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  • Learning Optimal Feedback Operators and their Sparse Polynomial Approximations. / Kunisch, Karl; Vásquez-Varas, Donato; Walter, Daniel.
    in: Journal of Machine Learning Research, Jahrgang 40, 15.09.2023, S. 1-38.
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  • Multilevel quasi-Monte Carlo for optimization under uncertainty. / Guth, Philipp A; Barel, Van.
    in: Numerische Mathematik, Jahrgang 154, Nr. 3-4, 28.07.2023, S. 443-484.
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  • Optimal feedback control of dynamical systems via value- function approximation. / Kunisch, Karl; Walter, Daniel.
    in: Comptes Rendus - Mecanique, Jahrgang 351, Nr. S1, 15.06.2023, S. 1-37.
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  • Global stabilizability to trajectories for the Schloegl equation in a Sobolev norm. / Kunisch, Karl; Sergio, S.
    in: Discrete and Continuous Dynamical Systems- Series A, Jahrgang 43, Nr. 6, 15.06.2023, S. 2457-2493.
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  • Existence, uniqueness, and stabilization results for parabolic variational inequalities. / Kroener, Axel; Rautenberg, Carlos N; Rodrigues, Sergio S.
    in: ESAIM - Control, Optimisation and Calculus of Variations, Jahrgang 29, 09.06.2023, S. art. 37.
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  • Stabilization of nonautonomous linear parabolic-like equations: oblique projections versus Riccati feedbacks. / Rodrigues, Sergio S.
    in: Evolution Equations and Control Theory, Jahrgang 12(2), 15.04.2023, S. 647-686.
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  • A fast primal-dual-active-jump method for minimization in BV((0, T); R-d). / Trautmann, Philip; Walter, Daniel.
    in: Optimization, 01.03.2023.
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  • Saturated feedback stabilizability to trajectories for the Schloegl parabolic equation. / Azmi, Behzad; Kunisch, Karl; Rodrigues, Sergio S.
    in: IEEE Transactions on Automatic Control, Jahrgang 68, Nr. 12, 22.02.2023, S. 7089-7103.
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  • Remarks on finite and infinite time-horizon optimal control problems. / Rodrigues, Sergio S.
    in: Systems and Control Letters, Jahrgang 172, Nr. 105441, 15.02.2023, S. --.
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  • Feedback semiglobal stabilization to trajectories for the Kuramoto-Sivashinsky equation. / Rodrigues, Sergio S; Seifu, Dagmawi A.
    in: IMA Journal of Mathematical Control and Information, Jahrgang 40, Nr. 1, 06.02.2023, S. 38-80.
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  • Analysis of rhc for stabilization of nonautonomous parabolic equations under uncertainty. / Azmi, Behzad; Kunisch, Karl K; Herrmann, Lukas.
    in: SIAM Journal on Control and Optimization, Jahrgang 62, Nr. 1, 01.02.2023, S. 220-242.
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  • On the convergence and mesh-independent property of the Barzilai-Borwein method for PDE-constrained optimization. / Azmi, Behzad; Kunisch, Karl.
    in: IMA Journal of Numerical Analysis, Jahrgang 42, Nr. 4, 01.10.2022, S. 2984-3021.
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  • ON FAST CONVERGENCE RATES FOR GENERALIZED CONDITIONAL GRADIENT METHODS WITH BACKTRACKING STEPSIZE. / Kunisch, Karl; Walter, Daniel.
    in: Numerical Algebra, Control and Optimization, 15.09.2022.
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  • LMBOPT: a limited memory method for bound-constrained optimization. / Kimiaei, Morteza; Neumaier, Arnold; Azmi, Behzad.
    in: Mathematical Programming Computation, 15.01.2022.
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  • Feedback Boundary Stabilization to Trajectories for 3D Navier–Stokes Equations. / Rodrigues, Sergio S.
    in: Applied Mathematics and Optimization, Jahrgang 84, Nr. 2, 15.12.2021, S. 1149-1186.
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  • Semiglobal Oblique Projection Exponential Dynamical Observers for Nonautonomous Semilinear Parabolic-Like Equations. / Rodrigues, Sergio S.
    in: Journal of Nonlinear Science, Jahrgang 31, Nr. 6, 15.12.2021, S. ARTN 100.
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  • Stabilization of nonautonomous parabolic equations by a single moving actuator. / Azmi, Behzad; Kunisch, Karl; Rodrigues, Sergio S.
    in: Discrete and Continuous Dynamical Systems- Series A, Jahrgang 41, Nr. 12, 15.12.2021, S. 5789-5824.
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  • Oblique projection exponential dynamical observer for nonautonomous linear parabolic-like equations. / Rodrigues, Sergio S.
    in: SIAM Journal on Control and Optimization, Jahrgang 59, Nr. 1, 15.06.2021, S. 464-488.
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  • Optimal Feedback Law Recovery by Gradient-Augmented Sparse Polynomial Regression. / Azmi, Behzad; Kalise, Dante; Kunisch, Karl.
    in: Journal of Machine Learning Research, Jahrgang 22, 15.06.2021, S. 1-32.
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  • Learning an Optimal Feedback Operator Semiglobally Stabilizing Semilinear Parabolic Equations. / Kunisch, Karl; Rodrigues, Sergio S; Walter, Daniel.
    in: Applied Mathematics and Optimization, Jahrgang 84, Nr. 1, 23.04.2021, S. 277-318.
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  • LINEAR CONVERGENCE OF ACCELERATED CONDITIONAL GRADIENT ALGORITHMS IN SPACES OF MEASURES. / Pieper, Konstantin; Walter, Daniel.
    in: ESAIM - Control, Optimisation and Calculus of Variations, Jahrgang 27, 15.04.2021, S. ARTN 38.
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  • Oblique projection output-based feedback exponential stabilization of nonautonomous parabolic equations. / Rodrigues, Sergio S.
    in: Automatica, Jahrgang 129, 10.04.2021, S. art. no. 109621.
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  • Semiglobal optimal feedback stabilization of autonomous systems via deep neural network approximation. / Kunisch, Karl; Walter, Daniel.
    in: ESAIM - Control, Optimisation and Calculus of Variations, Jahrgang 27, 22.03.2021, S. ARTN 16.
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  • On the numerical range of second-order elliptic operators with mixed boundary conditions in $L^p$. / Chill, Ralph; Meinlschmidt, Hannes; Rehberg, Joachim.
    in: Journal of Evolution Equations, 20.10.2020.
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  • Oblique projection local feedback stabilization of nonautonomous semilinear damped wave-like equations. / Azmi, Behzad; Rodrigues, Sergio S.
    in: Journal of Differential Equations, Jahrgang 269, Nr. 7, 02.09.2020, S. 6163-6192.
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  • Inverse point source location with the Helmholtz equation on a bounded domain. / Pieper, Konstantin; Tang, Bao Quoc; Trautmann, Philip et al.
    in: Computational Optimization and Applications, Jahrgang 77, 29.06.2020, S. 213–249.
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  • Regularization for Optimal Control Problems Associated to Nonlinear Evolution Equations. / Meinlschmidt, Hannes; Meyer, Christian; Rehberg, Joachim.
    in: Journal of Convex Analysis, Jahrgang 27, Nr. 2, 15.06.2020, S. 443-485.
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  • Optimal control of an energy-critical semilinear wave equation in 3D with spatially integrated control constraints. / Kunisch, Karl; Meinlschmidt, Hannes.
    in: Journal des Mathematiques Pures et Appliquees, Jahrgang 138, 15.06.2020, S. 46-87.
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  • Numerical analysis of sparse initial data identification for parabolic problems. / Leykekhman, Dmitriy; Vexler, Boris; Walter, Daniel.
    in: ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, Jahrgang 54, Nr. 4, 18.05.2020, S. 1139-1180.
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  • Analysis of the Barzilai-Borwein Step-Sizes for Problems in Hilbert Spaces. / Azmi, Behzad; Kunisch, Karl.
    in: Journal of Optimization Theory and Applications, 13.05.2020.
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  • Optimal control of an abstract evolution variational inequality with application to homogenized plasticity. / Meyer, Christian; Meinlschmidt, Hannes; Walter, Stephan.
    in: Journal of Nonsmooth Analysis and Optimization, Nr. 1, 12.05.2020, S. 1-41.
    DOIWebsiteDownloadRISENWBIB
  • Semiglobal exponential stabilization of nonautonomous semilinear parabolic-like systems. / Rodrigues, Sergio S.
    in: Evolution Equations and Control Theory, 15.12.2019, S. -.
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  • Explicit exponential stabilization of nonautonomous linear parabolic-like systems by a finite number of internal actuators. / Kunisch, Karl; Sergio, S.
    in: ESAIM - Control, Optimisation and Calculus of Variations, Jahrgang 25, 05.11.2019, S. art.67.
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  • Oblique projection based stabilizing feedback for nonautonomous coupled parabolic-ode systems. / Kunisch, Karl; Rodrigues, Sergio S.
    in: Discrete and Continuous Dynamical Systems- Series A, Jahrgang 39, Nr. 11, 15.09.2019, S. 6355-6389.
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  • A sparse control approach to optimal sensor placement in PDE-constrained parameter estimation problems. / Neitzel, Ira; Pieper, Konstantin; Vexler, Boris et al.
    in: Numerische Mathematik, Jahrgang 143, 05.09.2019, S. 943-984.
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  • A HYBRID FINITE-DIMENSIONAL RHC FOR STABILIZATION OF TIME-VARYING PARABOLIC EQUATIONS. / Azmi, Behzad; Kunisch, Karl.
    in: SIAM Journal on Control and Optimization, Jahrgang 57, Nr. 5, 15.06.2019, S. 3496-3526.
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  • Higher regularity for solutions to elliptic systems in divergence form subject to mixed boundary conditions. / Haller-Dintelmann, Robert; Meinlschmidt, Hannes; Wollner, Winnifried.
    in: Annali di Matematica Pura ed Applicata, Jahrgang 1, 26.12.2018, S. 1-23.
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  • On the explicit feedback stabilisation of one-dimensional linear nonautonomous parabolic equations via oblique projections. / Rodrigues, Sergio S; Sturm, Kevin.
    in: IMA Journal of Mathematical Control and Information, Jahrgang vv, 15.11.2018, S. pp.
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  • Explicit exponential stabilization of nonautonomous linear parabolic-like systems by a finite number of internal actuators. / Kunisch, Karl; Sergio, S.
    in: ESAIM - Control, Optimisation and Calculus of Variations, Jahrgang vv, 24.09.2018, S. pp.
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  • Stabilization to trajectories for parabolic equations. / Phan, Duy; Rodrigues, Sergio S.
    in: Mathematics of Control, Signals, and Systems, Jahrgang 30, Nr. 2, 16.07.2018, S. 11.
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  • Approximate controllability for Navier-Stokes equations in 3D rectangles under Lions boundary conditions. / Phan, Duy; Rodrigues, Sergio S.
    in: Journal of Dynamical and Control Systems, Jahrgang vv, 10.07.2018, S. pp.
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  • The full Keller-Segel model is well-posed on nonsmooth domains. / Horstmann, Dirk; Meinlschmidt, Hannes; Rehberg, Joachim.
    in: Nonlinearity, Jahrgang 31, Nr. 4, 08.03.2018, S. 1560-1592.
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  • Receding Horizon Control for the Stabilization of the Wave Equation. / Azmi, Behzad; Kunisch, Karl.
    in: Discrete and Continuous Dynamical Systems- Series A, Jahrgang 38, Nr. 2, 01.02.2018, S. 449-484.
    DOIWebsiteRISENWBIB
  • On the semi-global Stabilizability of the Korteweg-de Vries Equation via Model Predictive Control. / Azmi, Behzad; Boulanger, Anne-Céline; Kunisch, Karl.
    in: ESAIM - Control, Optimisation and Calculus of Variations, Jahrgang 24, Nr. 1, 19.01.2018, S. 237-263.
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  • Feedback Boundary Stabilization to Trajectories for 3D Navier-Stokes Equations. / Rodrigues, Sergio S.
    in: Applied Mathematics and Optimization, 06.01.2018, S. -.
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  • Feedback stabilization to nonstationary solutions of a class of reaction diffusion equations of FitzHugh-Nagumo type. / Breiten, Tobias; Kunisch, Karl; Rodrigues, Sergio S.
    in: SIAM Journal on Control and Optimization, Jahrgang 55, Nr. 4, 15.06.2017, S. 2684-2713.
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  • Gevrey regularity for Navier-Stokes equations under Lions boundary conditions. / Rodrigues, Sergio S; Phan, Duy.
    in: Journal of Functional Analysis, Jahrgang 272, Nr. 7, 03.02.2017, S. 2865-2898.
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  • Boundary observability inequalites for the 3D Oseen-Stokes system and applications. / Rodrigues, Sergio S.
    in: ESAIM - Control, Optimisation and Calculus of Variations, Jahrgang 21, Nr. 3, 15.06.2015, S. 723-756.
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  • Remarks on the internal exponential stabilization to a nonstationary solution for 1D Burgers equations. / Kröner, Axel; Rodrigues, Sergio S.
    in: SIAM Journal on Control and Optimization, Jahrgang 53, Nr. 2, 15.06.2015, S. 1020-1055.
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  • On the iinearization up to multi-output injection for a class of systems with implicitly defined outputs. / Rodrigues, Sergio S; Aguiar, A Pedro.
    in: IEEE Transactions on Automatic Control, Jahrgang 59, Nr. 5, 10.01.2014, S. 1310 -1315.
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  • Local exact boundary controllability of 3D Navier-Stokes equations. / Rodrigues, Sergio S.
    in: Nonlinear Analysis, Theory, Methods and Applications, Jahrgang 95, 01.01.2014, S. 175-190.
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  • Internal exponential stabilization to a nonstationary solution for 3D Navier-Stokes equations. / Barbu, Viorel; Rodrigues, Sergio S; Shirikyan, Armen.
    in: SIAM Journal on Control and Optimization, Jahrgang 49, Nr. 4, 15.06.2011, S. 1454-1478.
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  • Extrapolated elliptic regularity and application to the van Roosbroeck system of semiconductor equations. / Meinlschmidt, Hannes; Rehberg, Joachim.
    in: Journal of Differential Equations, 25.01.2021.
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Book/Monograph

Conference Contribution: Publication in Proceedings

  • Application of Dimension Truncation Error Analysis to High-Dimensional Function Approximation in Uncertainty Quantification. / Philipp, A; Kaarnioja, Vesa; Hinrichs, Aicke (Herausgeber:in) et al.
    Monte Carlo and Quasi-Monte Carlo Methods. Springer, 2024.
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  • Approximate controllability for equations of fluid mechanics with a few body controls. / Phan, Duy; Rodrigues, Sergio S.
    Proceedings of the European Control Conference, July 15-17, 2015, Linz, Austria.. Linz, 2015. S. 2682-2687.
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  • Internal exponential stabilization to a nonstationary solution for 1D Burgers equations with piecewise constant controls. / Kröner, Axel; Rodrigues, Sergio S.
    Proceedings of the European Control Conference, July 15-17, 2015, Linz, Austria.. Linz, 2015. S. 2676-2681.
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  • A new algorithm for linearization up to multi-output and multi-input injection for a class of systems with implicitly defined outputs. / Rodrigues, Sergio S; Aguiar, A Pedro.
    Proceedings of the European Control Conference, July 17-19, 2013, Zürich, Switzerland.. Zurich, 2013. S. 1734-1739.
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Contribution in Collection

Dissertation

Habilitation

  • Feedback exponential stabilizability of nonautonomous parabolic-like systems. / Rodrigues, Sergio S.
    Graz: Karl-Franzens-Universität Graz, 2019.
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Editorship