From Open to Closed Loop Optimal Control of PDEs

Publications

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

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

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

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