From Open to Closed Loop Optimal Control of PDEs

Project Information

OCLOC

Grant agreement ID: 668998

DOI

10.3030/668998

Project closed

EC signature date 10 July 2015

Start date 1 January 2016

End date 31 December 2021

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 678 325,01

EU contribution

€ 1 678 325,01

Coordinated by

UNIVERSITAET GRAZ
Austria

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Peer reviewed articles (89)

Inverse problem of shape identification from boundary measurement for Stokes equations: Shape differentiability of Lagrangian

Author(s): Victor A. Kovtunenko, Kohji Ohtsuka
Published in: Journal of Inverse and Ill-posed Problems, 2020, ISSN 0928-0219
Publisher: Walter de Gruyter GmbH & Co. KG
DOI: 10.1515/jiip-2020-0081

Analysis of a nonlinear fluid-structure interaction model with mechanical dissipation and delay

Author(s): Gilbert Peralta, Karl Kunisch
Published in: Nonlinearity, Issue Volume 32, Number 12, 2019, ISSN 0951-7715
Publisher: Institute of Physics Publishing
DOI: 10.1088/1361-6544/ab46f5

Oblique projection based stabilizing feedback for nonautonomous coupled parabolic-ode systems

Author(s): Karl Kunsich, Sergio S. Rodrigues
Published in: Discrete and Continuous Dynamical Systems, Issue 39 (11), 2019, Page(s) 6355 - 6389, ISSN 1078-0947
Publisher: Dept. of Mathematics, Southwest Missouri State University
DOI: 10.3934/dcds.2019276

Robust feedback control of nonlinear PDEs by numerical approximation of high-dimensional Hamilton-Jacobi-Isaacs equations

Author(s): Dante Kalise, Sudeep Kundu, Karl Kunisch
Published in: SIAM Journal on Applied Dynamical Systems, Issue 19(2), 2020, Page(s) 1496–1524, ISSN 1536-0040
Publisher: Society of Industrial and Applied Mathematics
DOI: 10.1137/19m1262139

Poroelastic medium with non-penetrating crack driven by hydraulic fracture: Variational inequality and its semidiscretization

Author(s): Victor A.Kovtunenko
Published in: Journal of Computational and Applied Mathematics, Issue Volume 405, 2022, Page(s) 113953, ISSN 0377-0427
Publisher: Elsevier BV
DOI: 10.1016/j.cam.2021.113953

Optimal finite element error estimates for an optimal control problem governed by the wave equation with controls of bounded variation

Author(s): Sebastian Engel, Philip Trautmann, Boris Vexler
Published in: IMA Journal of Numerical Analysis, Issue Volume 41, Issue 4, 2021, Page(s) 2639–2667, ISSN 0272-4979
Publisher: Oxford University Press
DOI: 10.1093/imanum/draa032

Lagrange multiplier approach to unilateral indentation problems: Well-posedness and application to linearized viscoelasticity with non-invertible constitutive response

Author(s): Hiromichi Itou, Victor A. Kovtunenko, Kumbakonam R. Rajagopal
Published in: Mathematical Models and Methods in Applied Sciences, Issue Vol. 31, No. 03, 2021, Page(s) 649-674, ISSN 0218-2025
Publisher: World Scientific Publishing Co
DOI: 10.1142/s0218202521500159

Variational Networks: An Optimal Control Approach to Early Stopping Variational Methods for Image Restoration

Author(s): Alexander Effland, Erich Kobler, Karl Kunisch, Thomas Pock
Published in: Journal of Mathematical Imaging and Vision, Issue 62, 2020, Page(s) 396–416, ISSN 0924-9907
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s10851-019-00926-8

Policy iteration for Hamilton–Jacobi–Bellman equations with control constraints

Author(s): Sudeep Kundu, Karl Kunisch
Published in: Computational Optimization and Applications, 2021, ISSN 0926-6003
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s10589-021-00278-3

Cyclic behavior of simple models in hypoplasticity and plasticity with nonlinear kinematic hardening

Author(s): Victor A. Kovtunenko, Erich Bauer, Jan Elias, Pavel Krejci, Giselle a. Monteiro, Lenka Strakova (Sivakova)
Published in: Journal of Siberian Federal University. Mathematics & Physics, Issue 14(6), 2021, ISSN 1997-1397
Publisher: Siberian Federal University
DOI: 10.17516/1997-1397-2021-14-6-756-767

Study of voltage cycling conditions on Pt oxidation and dissolution in polymer electrolyte fuel cells

Author(s): V.A.Kovtunenko, L.Karpenko-Jereb
Published in: Journal of Power Sources, Issue Volume 493, 2021, Page(s) 229693, ISSN 0378-7753
Publisher: Elsevier BV
DOI: 10.1016/j.jpowsour.2021.229693

Stabilization of nonautonomous parabolic equations by a single moving actuator

Author(s): Behzad Azmi, Karl Kunisch, Sérgio S. Rodrigues
Published in: Discrete & Continuous Dynamical Systems, Issue 41(12), 2021, Page(s) 5789-5824, ISSN 1078-0947
Publisher: Dept. of Mathematics, Southwest Missouri State University
DOI: 10.3934/dcds.2021096

Learning an Optimal Feedback Operator Semiglobally Stabilizing Semilinear Parabolic Equations

Author(s): Karl Kunisch, Sérgio S. Rodrigues, Daniel Walter
Published in: Applied Mathematics and Optimization, Issue 84, 2021, Page(s) pages 277–318, ISSN 0095-4616
Publisher: Springer Verlag
DOI: 10.1007/s00245-021-09769-5

The Effect of the Terminal Penalty in Receding Horizon Control for a Class of Stabilization Problems

Author(s): Karl Kunisch, Laurent Pfeiffer
Published in: Control, Optimisation and Calculus of Variations, Issue Volume 26, 58, 2020, ISSN 1292-8119
Publisher: EDP Sciences
DOI: 10.1051/cocv/2019037

Tensor Decomposition Methods for High-dimensional Hamilton--Jacobi--Bellman Equations

Author(s): Sergey Dolgov, Dante Kalise, Karl Kunisch
Published in: SIAM Journal on Scientific Computing, Issue 43(3), 2021, Page(s) A1625–A1650, ISSN 1064-8275
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/19m1305136

Finite dimensional boundary uniform stabilization of the Boussinesq system in Besov spaces by critical use of Carleman estimate-based inverse theory

Author(s): Irena Lasiecka, Buddhika Priyasad, Roberto Triggiani
Published in: Journal of Inverse and Ill-posed Problems, Issue 30(1), 2022, Page(s) 35-79, ISSN 0928-0219
Publisher: Walter de Gruyter GmbH & Co. KG
DOI: 10.1515/jiip-2020-0132

Well-posedness of evolutionary Navier-Stokes equations with forces of low regularity on two-dimensional domains

Author(s): Eduardo Casas, Karl Kunisch
Published in: Control, Optimisation and Calculus of Variations, Issue Volume 27, 2021, Page(s) Article Number 61, ISSN 1292-8119
Publisher: EDP Sciences
DOI: 10.1051/cocv/2021058

On an Implicit Model Linear in Both Stress and Strain to Describe the Response of Porous Solids

Author(s): Hiromichi Itou, Victor A. Kovtunenko, Kumbakonam R. Rajagopal
Published in: Journal of Elasticity, Issue 144, 2021, Page(s) 107–118, ISSN 0374-3535
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s10659-021-09831-x

Neural network based nonlinear observers

Author(s): Tobias Breiten, Karl Kunisch
Published in: Systems & Control Letters, Issue Volume 148, 2021, Page(s) 104829, ISSN 0167-6911
Publisher: Elsevier BV
DOI: 10.1016/j.sysconle.2020.104829

An Inverse Problem Involving a Viscous Eikonal Equation with Applications in Electrophysiology

Author(s): Karl Kunisch, Philip Trautmann
Published in: Vietnam Journal of Mathematics, Issue 50, 2022, Page(s) 301-317, ISSN 2305-221X
Publisher: Springer Science + Business Media
DOI: 10.1007/s10013-021-00509-4

Total Deep Variation: A Stable Regularization Method for Inverse Problems

Author(s): Erich Kobler, Alexander Effland, Karl Kunisch, Thomas Pock
Published in: IEEE Transactions on Pattern Analysis and Machine Intelligence, 2021, ISSN 0162-8828
Publisher: Institute of Electrical and Electronics Engineers
DOI: 10.1109/tpami.2021.3124086

Lifetime of Catalyst under Voltage Cycling in Polymer Electrolyte Fuel Cell Due to Platinum Oxidation and Dissolution

Author(s): Victor A. Kovtunenko, Larisa Karpenko-Jereb
Published in: Technologies, Issue 9(4), 80, 2021, ISSN 2227-7080
Publisher: Basel: MDPI AG
DOI: 10.3390/technologies9040080

Optimal Control of the Two-Dimensional Evolutionary Navier--Stokes Equations with Measure Valued Controls

Author(s): Eduardo Casas, Karl Kunisch
Published in: SIAM Journal on Control and Optimization, Issue Volume 59, Issue 3, 2021, Page(s) 2223–2246, ISSN 0363-0129
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/20m1351400

Uniform stabilization of Boussinesq systems in critical L^q-based Sobolev and Besov spaces by finite dimensional interior localized feedback controls

Author(s): Irena Lasiecka, Buddhika Priyasad, Roberto Triggiani
Published in: Discrete & Continuous Dynamical Systems - B, Issue 25 (10), 2020, Page(s) 4071-4117, ISSN 1531-3492
Publisher: American Institute of Mathematical Sciences
DOI: 10.3934/dcdsb.2020187

Receding horizon control for the stabilization of the wave equation

Author(s): Behzad Azmi, Karl Kunisch
Published in: Discrete and Continuous Dynamical Systems, Issue 38/2, 2018, Page(s) 449-484, ISSN 1078-0947
Publisher: Dept. of Mathematics, Southwest Missouri State University
DOI: 10.3934/dcds.2018021

Total variation regularization of multi-material topology optimization

Author(s): Christian Clason, Florian Kruse, Karl Kunisch
Published in: ESAIM: Mathematical Modelling and Numerical Analysis, Issue 52/1, 2018, Page(s) 275-303, ISSN 0764-583X
Publisher: EDP Sciences
DOI: 10.1051/m2an/2017061

On the Stabilizability of the Burgers Equation by Receding Horizon Control

Author(s): Behzad Azmi, Karl Kunisch
Published in: SIAM Journal on Control and Optimization, Issue 54/3, 2016, Page(s) 1378-1405, ISSN 0363-0129
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/15M1030352

Local Minimization Algorithms for Dynamic Programming Equations

Author(s): Dante Kalise, Axel Kröner, Karl Kunisch
Published in: SIAM Journal on Scientific Computing, Issue 38/3, 2016, Page(s) A1587-A1615, ISSN 1064-8275
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/15M1010269

Primal-dual active set strategy for large scale optimization of cardiac defibrillation

Author(s): Nagaiah Chamakuri, Karl Kunisch
Published in: Applied Mathematics and Computation, Issue 292, 2017, Page(s) 178-193, ISSN 0096-3003
Publisher: Elsevier BV
DOI: 10.1016/j.amc.2016.07.035

Optimal Control of Elliptic Variational–Hemivariational Inequalities

Author(s): Zijia Peng, Karl Kunisch
Published in: Journal of Optimization Theory and Applications, Issue 178/1, 2018, Page(s) 1-25, ISSN 0022-3239
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10957-018-1303-8

Analysis of Optimal Control Problems of Semilinear Elliptic Equations by BV-Functions

Author(s): Eduardo Casas, Karl Kunisch
Published in: Set-Valued and Variational Analysis, 2018, Page(s) 1 - 25, ISSN 1877-0533
Publisher: Springer Verlag
DOI: 10.1007/s11228-018-0482-7

Interface stabilization of a parabolic-hyperbolic pde system with delay in the interaction

Author(s): Gilbert Peralta, Karl Kunisch
Published in: Discrete & Continuous Dynamical Systems - A, Issue 38/6, 2018, Page(s) 3143-3171, ISSN 1553-5231
Publisher: AIMS
DOI: 10.3934/dcds.2018133

Revisiting generalized FEM: a Petrov–Galerkin enrichment based FEM interpolation for Helmholtz problem

Author(s): Victor A. Kovtunenko, Karl Kunisch
Published in: Calcolo, Issue 55/3, 2018, ISSN 0008-0624
Publisher: Springer Verlag
DOI: 10.1007/s10092-018-0280-5

Viscosity methods for large deviations estimates of multiscale stochastic processes

Author(s): Daria Ghilli
Published in: ESAIM: Control, Optimisation and Calculus of Variations, 2018, ISSN 1292-8119
Publisher: EDP Sciences
DOI: 10.1051/cocv/2017051

Inverse problems for linear parabolic equations using mixed formulations – Part 1: Theoretical analysis

Author(s): Arnaud Münch, Diego A. Souza
Published in: Journal of Inverse and Ill-posed Problems, Issue 0/0, 2016, ISSN 0928-0219
Publisher: Walter de Gruyter GmbH & Co. KG
DOI: 10.1515/jiip-2015-0112

Analysis and finite element discretization for optimal control of a linear fluid–structure interaction problem with delay

Author(s): Gilbert Peralta, Karl Kunisch
Published in: IMA Journal of Numerical Analysis, 2018, ISSN 0272-4979
Publisher: Oxford University Press
DOI: 10.1093/imanum/dry070

Taylor expansions of the value function associated with a bilinear optimal control problem

Author(s): Tobias Breiten, Karl Kunisch, Laurent Pfeiffer
Published in: Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2019, ISSN 0294-1449
Publisher: Elsevier BV
DOI: 10.1016/j.anihpc.2019.01.001

A bilevel approach for parameter learning in inverse problems

Author(s): Gernot Holler, Karl Kunisch, Richard C Barnard
Published in: Inverse Problems, Issue 34/11, 2018, Page(s) 115012, ISSN 0266-5611
Publisher: Institute of Physics Publishing
DOI: 10.1088/1361-6420/aade77

Infinite-Horizon Bilinear Optimal Control Problems: Sensitivity Analysis and Polynomial Feedback Laws

Author(s): Tobias Breiten, Karl Kunisch, Laurent Pfeiffer
Published in: SIAM Journal on Control and Optimization, Issue 56/5, 2018, Page(s) 3184-3214, ISSN 0363-0129
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/18m1173952

On monotone and primal-dual active set schemes for $$\ell ^p$$ ℓ p -type problems, $$p

Author(s): Daria Ghilli, Karl Kunisch
Published in: Computational Optimization and Applications, Issue 72/1, 2019, Page(s) 45-85, ISSN 0926-6003
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s10589-018-0036-9

Optimal actuator design based on shape calculus

Author(s): Dante Kalise, Karl Kunisch, Kevin Sturm
Published in: Mathematical Models and Methods in Applied Sciences, Issue 28/13, 2018, Page(s) 2667-2717, ISSN 0218-2025
Publisher: World Scientific Publishing Co
DOI: 10.1142/s0218202518500586

Numerical study of polynomial feedback laws for a bilinear control problem

Author(s): Tobias Breiten, Karl Kunisch, Laurent Pfeiffer
Published in: Mathematical Control & Related Fields, Issue 8/3, 2018, Page(s) 557-582, ISSN 2156-8499
Publisher: AIMS
DOI: 10.3934/mcrf.2018023

Infinite Horizon Sparse Optimal Control

Author(s): Dante Kalise, Karl Kunisch, Zhiping Rao
Published in: Journal of Optimization Theory and Applications, Issue 172/2, 2016, Page(s) 481-517, ISSN 0022-3239
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10957-016-1016-9

Stabilization by Sparse Controls for a Class of Semilinear Parabolic Equations

Author(s): Eduardo Casas and Karl Kunisch
Published in: SIAM Journal on Control and Optimization, Issue 55/1, 2017, Page(s) 512-532, ISSN 0363-0129
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/16M1084298

Invisible Control of Self-Organizing Agents Leaving Unknown Environments

Author(s): Giacomo Albi, Mattia Bongini, Emiliano Cristiani, Dante Kalise
Published in: SIAM Journal on Applied Mathematics, Issue 76/4, 2016, Page(s) 1683-1710, ISSN 0036-1399
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/15M1017016

Proximal Methods for Stationary Mean Field Games with Local Couplings

Author(s): L. M. Bricen͂o-Arias, D. Kalise, F. J. Silva
Published in: SIAM Journal on Control and Optimization, Issue 56/2, 2018, Page(s) 801-836, ISSN 0363-0129
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/16M1095615

Polynomial Approximation of High-Dimensional Hamilton--Jacobi--Bellman Equations and Applications to Feedback Control of Semilinear Parabolic PDEs

Author(s): Dante Kalise, Karl Kunisch
Published in: SIAM Journal on Scientific Computing, Issue 40/2, 2018, Page(s) A629-A652, ISSN 1064-8275
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/17M1116635

Mean Field Control Hierarchy

Author(s): Giacomo Albi, Young-Pil Choi, Massimo Fornasier, Dante Kalise
Published in: Applied Mathematics & Optimization, Issue 76/1, 2017, Page(s) 93-135, ISSN 0095-4616
Publisher: Springer Verlag
DOI: 10.1007/s00245-017-9429-x

A Boltzmann approach to mean-field sparse feedback control * *Giacomo Albi and Massimo Fornasier acknowledge the support of the ERC-Starting Grant HDSPCONTR ”High-Dimensional Sparse Optimal Control”. Dante Kalise acknowledges the support of the ERC-Advanced grant OCLOC 668998 “From Open to Closed Loop Optimal Control of PDEs”.

Author(s): Giacomo Albi, Massimo Fornasier, Dante Kalise
Published in: IFAC-PapersOnLine, Issue 50/1, 2017, Page(s) 2898-2903, ISSN 2405-8963
Publisher: Elsevier Ltd.
DOI: 10.1016/j.ifacol.2017.08.646

Nonconvex penalization of switching control of partial differential equations

Author(s): Christian Clason, Armin Rund, Karl Kunisch
Published in: Systems & Control Letters, Issue 106, 2017, Page(s) 1-8, ISSN 0167-6911
Publisher: Elsevier BV
DOI: 10.1016/j.sysconle.2017.05.006

Control strategies for the Fokker-Planck equation

Author(s): Tobias Breiten, Karl Kunisch, Laurent Pfeiffer
Published in: ESAIM: Control, Optimisation and Calculus of Variations, 2017, ISSN 1292-8119
Publisher: EDP Sciences
DOI: 10.1051/cocv/2017046

On the semi-global stabilizability of the Korteweg-de Vries equation via model predictive control

Author(s): Behzad Azmi, Karl Kunisch, Anne-Céline Boulanger
Published in: ESAIM: Control, Optimisation and Calculus of Variations, 2017, ISSN 1292-8119
Publisher: EDP Sciences
DOI: 10.1051/cocv/2017001

Boundary feedback stabilization of the monodomain equations

Author(s): Karl Kunisch, Tobias Breiten
Published in: Mathematical Control and Related Fields, Issue 7/3, 2017, Page(s) 369-391, ISSN 2156-8472
Publisher: American Institute of Mathematical Sciences
DOI: 10.3934/mcrf.2017013

Hybrid optimal control problems for a class of semilinear parabolic equations

Author(s): Sébastien Court, Karl Kunisch, Laurent Pfeiffer
Published in: Discrete & Continuous Dynamical Systems - S, Issue 11/6, 2018, Page(s) 1031-1060, ISSN 1937-1179
Publisher: AIMS
DOI: 10.3934/dcdss.2018060

Optimal Control for a Class of Infinite Dimensional Systems Involving an L∞-term in the Cost Functional

Author(s): Sébastien Court, Karl Kunisch, Laurent Pfeiffer
Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Issue 98/4, 2018, Page(s) 569-588, ISSN 0044-2267
Publisher: John Wiley & Sons Ltd.
DOI: 10.1002/zamm.201600199

On Neumann problems for nonlocal Hamilton–Jacobi equations with dominating gradient terms

Author(s): Daria Ghilli
Published in: Calculus of Variations and Partial Differential Equations, Issue 56/5, 2017, ISSN 0944-2669
Publisher: Springer Verlag
DOI: 10.1007/s00526-017-1225-6

On the one-dimensional nonlinear monodomain equations with moving controls

Author(s): Karl Kunisch, Diego A. Souza
Published in: Journal de Mathématiques Pures et Appliquées, 2018, ISSN 0021-7824
Publisher: Elsevier BV
DOI: 10.1016/j.matpur.2018.05.003

Junction conditions for finite horizon optimal control problems on multi-domains with continuous and discontinuous solutions

Author(s): Daria Ghilli, Zhiping Rao, Hasnaa Zidani
Published in: ESAIM: Control, Optimisation and Calculus of Variations, Issue 25, 2019, Page(s) 79, ISSN 1292-8119
Publisher: EDP Sciences
DOI: 10.1051/cocv/2018072

Explicit exponential stabilization of nonautonomous linear parabolic-like systems by a finite number of internal actuators

Author(s): Karl Kunisch, Sérgio S. Rodrigues
Published in: ESAIM: Control, Optimisation and Calculus of Variations, Issue 25, 2019, Page(s) 67, ISSN 1292-8119
Publisher: EDP Sciences
DOI: 10.1051/cocv/2018054

Optimal control problem for viscous systems of conservation laws, with geometric parameter, and application to the Shallow-Water equations

Author(s): Sébastien Court, Karl Kunisch, Laurent Pfeiffer
Published in: Interfaces and Free Boundaries, Issue 21/3, 2019, Page(s) 273-311, ISSN 1463-9963
Publisher: European Mathematical Society Publishing House
DOI: 10.4171/IFB/424

Inverse localization of earliest cardiac activation sites from activation maps based on the viscous Eikonal equation

Author(s): Karl Kunisch, Aurel Neic, Gernot Plank, Philip Trautmann
Published in: Journal of Mathematical Biology, Issue 79/6-7, 2019, Page(s) 2033-2068, ISSN 0303-6812
Publisher: Springer Verlag
DOI: 10.1007/s00285-019-01419-3

Time-optimality by distance-optimality for parabolic control systems

Author(s): Lucas Bonifacius, Karl Kunisch
Published in: ESAIM: Mathematical Modelling and Numerical Analysis, Issue 54/1, 2020, Page(s) 79-103, ISSN 0764-583X
Publisher: EDP Sciences
DOI: 10.1051/m2an/2019046

A Hybrid Finite-Dimensional RHC for Stabilization of Time-Varying Parabolic Equations

Author(s): Behzad Azmi, Karl Kunisch
Published in: SIAM Journal on Control and Optimization, Issue 57/5, 2019, Page(s) 3496-3526, ISSN 0363-0129
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/19m1239787

Feedback Stabilization of the Two-Dimensional Navier–Stokes Equations by Value Function Approximation

Author(s): Tobias Breiten, Karl Kunisch, Laurent Pfeiffer
Published in: Applied Mathematics & Optimization, Issue 80/3, 2019, Page(s) 599-641, ISSN 0095-4616
Publisher: Springer Verlag
DOI: 10.1007/s00245-019-09586-x

On a Monotone Scheme for Nonconvex Nonsmooth Optimization with Applications to Fracture Mechanics

Author(s): Daria Ghilli, Karl Kunisch
Published in: Journal of Optimization Theory and Applications, Issue 183/2, 2019, Page(s) 609-641, ISSN 0022-3239
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10957-019-01545-4

Optimal control of an energy-critical semilinear wave equation in 3D with spatially integrated control constraints

Author(s): Karl Kunisch, Hannes Meinlschmidt
Published in: Journal de Mathématiques Pures et Appliquées, Issue 138, 2020, Page(s) 46-87, ISSN 0021-7824
Publisher: Elsevier BV
DOI: 10.1016/j.matpur.2020.03.006

Time optimal control‐based RF pulse design under gradient imperfections

Author(s): Christoph S. Aigner, Armin Rund, Samy Abo Seada, Anthony N. Price, Joseph V. Hajnal, Shaihan J. Malik, Karl Kunisch, Rudolf Stollberger
Published in: Magnetic Resonance in Medicine, Issue 83/2, 2019, Page(s) 561-574, ISSN 0740-3194
Publisher: John Wiley & Sons Inc.
DOI: 10.1002/mrm.27955

Feedback stabilization of the three-dimensional Navier-Stokes equations using generalized Lyapunov equations

Author(s): Tobias Breiten, Karl Kunisch
Published in: Discrete & Continuous Dynamical Systems - A, Issue 40/7, 2020, Page(s) 4197-4229, ISSN 1553-5231
Publisher: American Institute of Mathematical Sciences
DOI: 10.3934/dcds.2020178

Global Stabilization of BBM–Burgers’ Type Equations by Nonlinear Boundary Feedback Control Laws: Theory and Finite Element Error Analysis

Author(s): Sudeep Kundu, Amiya Kumar Pani
Published in: Journal of Scientific Computing, Issue 81/2, 2019, Page(s) 845-880, ISSN 0885-7474
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10915-019-01039-5

A time-dependent obstacle problem in linearised elasticity

Author(s): Paolo Piersanti
Published in: Nonlinear Analysis, Issue 192, 2020, Page(s) 111660, ISSN 0362-546X
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.na.2019.111660

Numerical methods for static shallow shells lying over an obstacle

Author(s): Paolo Piersanti, Xiaoqin Shen
Published in: Numerical Algorithms, 2020, ISSN 1017-1398
Publisher: Baltzer Science Publishers B.V.
DOI: 10.1007/s11075-019-00830-7

An existence and uniqueness theorem for the dynamics of flexural shells

Author(s): Paolo Piersanti
Published in: Mathematics and Mechanics of Solids, Issue 25/2, 2020, Page(s) 317-336, ISSN 1081-2865
Publisher: SAGE Publications
DOI: 10.1177/1081286519876322

Optimal Feedback Law Recovery by Gradient-Augmented Sparse Polynomial Regression

Author(s): Behzad Azmi, Dante Kalise, Karl Kunisch
Published in: Journal of Machine Learning Research, Issue 22, 2021, Page(s) 1-32, ISSN 1532-4435
Publisher: MIT Press

Numerical simulations for the dynamics of flexural shells

Author(s): Xiaoqin Shen, Luisa Piersanti, Paolo Piersanti
Published in: Mathematics and Mechanics of Solids, Issue Volume: 25 issue: 4,, 2020, Page(s) 887-912, ISSN 1081-2865
Publisher: SAGE Publications
DOI: 10.1177/1081286519891230

Semiglobal Oblique Projection Exponential Dynamical Observers for Nonautonomous Semilinear Parabolic-Like Equations

Author(s): Sérgio S. Rodrigues
Published in: Journal of Nonlinear Science, Issue 31, Article number: 100, 2021, ISSN 0938-8974
Publisher: Springer Verlag
DOI: 10.1007/s00332-021-09756-8

Optimal Control of the Two-Dimensional Stationary Navier--Stokes Equations with Measure Valued Controls

Author(s): Eduardo Casas, Karl Kunisch
Published in: SIAM Journal on Control and Optimization, Issue Volume 57, Issue 2, 2019, Page(s) 1328–1354, ISSN 0363-0129
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/18m1185582

Simultaneous multislice refocusing via time optimal control

Author(s): Armin Rund, Christoph Stefan Aigner, Karl Kunisch, Rudolf Stollberger
Published in: Magnetic Resonance in Medicine, Issue Volume 80, Issue 4, 2018, Page(s) 1416-1428, ISSN 0740-3194
Publisher: John Wiley & Sons Inc.
DOI: 10.1002/mrm.27124

Global Stabilization of Two Dimensional Viscous Burgers' Equation by Nonlinear Neumann Boundary Feedback Control and its Finite Element Analysis

Author(s): Sudeep Kundu, Amiya Kumar Pani
Published in: Journal of Scientific Computing, Issue 84, Article number: 45, 2020, ISSN 0885-7474
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10915-020-01294-x

Learning nonlocal regularization operators

Author(s): Gernot Holler, Karl Kunisch
Published in: Mathematical Control and Related Fields (MCRF), Issue 12(1), 2022, Page(s) 81-114, ISSN 2156-8472
Publisher: American Institute of Mathematical Sciences
DOI: 10.3934/mcrf.2021003

Optimal control of the principal coefficient in a scalar wave equation

Author(s): Christian Clason, Karl Kunisch, Philip Trautmann
Published in: Applied Mathematics & Optimization volume, Issue 84, 2021, Page(s) 2889–2921, ISSN 0095-4616
Publisher: Springer Verlag
DOI: 10.1007/s00245-020-09733-9

Maximal Lp-regularity for an abstract evolution equation with applications to closed-loop boundary feedback control problems

Author(s): Irena Lasiecka, Buddhika Priyasad, Roberto Triggiani
Published in: Journal of Differential Equations, Issue 294, 2021, Page(s) 60-87, ISSN 0022-0396
Publisher: Academic Press
DOI: 10.1016/j.jde.2021.05.046

Inverse problem of breaking line identification by shape optimization

Author(s): Daria Ghilli, Karl Kunisch, Victor A. Kovtunenko
Published in: Journal of Inverse and Ill-posed Problems, Issue 28(1), 2019, Page(s) 119-135, ISSN 0928-0219
Publisher: Walter de Gruyter GmbH & Co. KG
DOI: 10.1515/jiip-2019-0047

A shape derivative for optimal control of the nonlinear Brinkman-Forchheimer equation

Author(s): Jose Rodrigo Gonzalez Granada, Victor A. Kovtunenko
Published in: Journal of Applied and Numerical Optimization, Issue 3(2), 2021, Page(s) 243-261, ISSN 2562-5535
Publisher: Journal of Applied and Numerical Optimization
DOI: 10.23952/jano.3.2021.2.02

Three-field mixed formulation of elasticity model nonlinear in the mean normal stress for the problem of non-penetrating cracks in bodies

Author(s): Hiromichi Itou, Victor A.Kovtunenko, Evgeny M.Rudoy
Published in: Applications in Engineering Science, Issue Volume 7, 2021, Page(s) 100060, ISSN 2666-4968
Publisher: Oxford Elsevier Ltd.
DOI: 10.1016/j.apples.2021.100060

Optimal control of the linear wave equation by time-depending BV-controls: A semi-smooth Newton approach

Author(s): Sebastian Engel, Karl Kunisch
Published in: Mathematical Control and Related Fields, Issue 10(3), 2020, Page(s) 591-622, ISSN 2156-8472
Publisher: American Institute of Mathematical Sciences
DOI: 10.3934/mcrf.2020012

Analysis of the Barzilai-Borwein Step-Sizes for Problems in Hilbert Spaces

Author(s): Behzad Azmi, Karl Kunisch
Published in: Journal of Optimization Theory and Applications volume, Issue 185, 2020, Page(s) 819 - 844, ISSN 0022-3239
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10957-020-01677-y

Sparse and switching infinite horizon optimal controls with mixed-norm penalizations

Author(s): Dante Kalise, Karl Kunisch, Zhiping Rao
Published in: ESIAM:COCV, Issue Volume 26, Article Number 61, 2020, Page(s) 25, ISSN 1292-8119
Publisher: EDP Sciences
DOI: 10.1051/cocv/2019038

Semiglobal optimal feedback stabilization of autonomous systems via deep neural network approximation

Author(s): Karl Kunisch, Daniel Walter
Published in: Control, Optimisation and Calculus of Variations, Issue Volume 27, 16, 2021, Page(s) 59, ISSN 1292-8119
Publisher: EDP Sciences
DOI: 10.1051/cocv/2021009

Uniform Stabilization of 3D Navier–Stokes Equations in Low Regularity Besov Spaces with Finite Dimensional, Tangential-Like Boundary, Localized Feedback Controllers

Author(s): Irena Lasiecka, Buddhika Priyasad, Roberto Triggiani
Published in: Arch. Rational Mech. Anal., Issue 241, 2021, Page(s) 1575-1654, ISSN 0003-9527
Publisher: Springer Verlag
DOI: 10.1007/s00205-021-01677-w

Conference proceedings (1)

Total Deep Variation for Linear Inverse Problems

Author(s): Erich Kobler, Alexander Effland, Karl Kunisch, Thomas Pock
Published in: IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR), 2020, Page(s) 7546-7555
Publisher: IEEE
DOI: 10.1109/cvpr42600.2020.00757

Non-peer reviewed articles (2)

A monotone scheme for sparsity optimization in lp with p Є (0,1]

Author(s): Daria Ghilli, Karl Kunisch
Published in: IFAC-PapersOnLine, Issue 50/1, 2017, Page(s) 494-499, ISSN 2405-8963
Publisher: ScienceDirect
DOI: 10.1016/j.ifacol.2017.08.102

A reduction method for Riccati-based control of the Fokker-Planck equation

Author(s): Tobias Breiten, Karl Kunisch, Laurent Pfeiffer
Published in: IFAC-PapersOnLine, Issue 50/1, 2017, Page(s) 1631-1636, ISSN 2405-8963
Publisher: ScienceDirect
DOI: 10.1016/j.ifacol.2017.08.329