Karl Kunisch

Lukas Herrmann

SIAM J. Control. Optim., February, 2024

2023

Saturated Feedback Stabilizability to Trajectories for the Schlögl Parabolic Equation.

[BibT_eX]

[DOI]

Sérgio S. Rodrigues

IEEE Trans. Autom. Control., December, 2023

Optimal polynomial feedback laws for finite horizon control problems.

[BibT_eX]

[DOI]

Donato Vásquez-Varas

Comput. Math. Appl., October, 2023

Infinite Horizon Optimal Control Problems with Discount Factor on the State, Part II: Analysis of the Control Problem.

[BibT_eX]

[DOI]

SIAM J. Control. Optim., June, 2023

Infinite Horizon Optimal Control Problems with Discount Factor on the State, Part I: Analysis of the Controlled State Equation.

[BibT_eX]

[DOI]

SIAM J. Control. Optim., June, 2023

Improving the Convergence Rates for the Kinetic Fokker-Planck Equation by Optimal Control.

[BibT_eX]

[DOI]

SIAM J. Control. Optim., June, 2023

Latent-Space Disentanglement with Untrained Generator Networks for the Isolation of Different Motion Types in Video Data.

[BibT_eX]

[DOI]

Abdullah Abdullah

Martin Holler

Malena Sabate Landman

Proceedings of the Scale Space and Variational Methods in Computer Vision, 2023

2022

Infinite Horizon Optimal Control Problems for a Class of Semilinear Parabolic Equations.

[BibT_eX]

[DOI]

SIAM J. Control. Optim., 2022

Total Deep Variation: A Stable Regularization Method for Inverse Problems.

[BibT_eX]

[DOI]

IEEE Trans. Pattern Anal. Mach. Intell., 2022

Mixed and hybrid Petrov-Galerkin finite element discretization for optimal control of the wave equation.

[BibT_eX]

[DOI]

Gilbert Peralta

Numerische Mathematik, 2022

Shape Derivative for Penalty-Constrained Nonsmooth-Nonconvex Optimization: Cohesive Crack Problem.

[BibT_eX]

[DOI]

Victor A. Kovtunenko

J. Optim. Theory Appl., 2022

Nonlinear motion separation via untrained generator networks with disentangled latent space variables and applications to cardiac MRI.

[BibT_eX]

[DOI]

Abdullah

Martin Holler

Malena Sabate Landman

CoRR, 2022

Boundary Control of Semilinear Parabolic Equations with Non-Smooth Point-wise-Integral Control Constraints in Time-Space*.

[BibT_eX]

[DOI]

Proceedings of the American Control Conference, 2022

2021

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

[BibT_eX]

[DOI]

Sergey Dolgov

SIAM J. Sci. Comput., 2021

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

[BibT_eX]

[DOI]

SIAM J. Control. Optim., 2021

Neural network based nonlinear observers.

[BibT_eX]

[DOI]

Syst. Control. Lett., 2021

Optimal Feedback Law Recovery by Gradient-Augmented Sparse Polynomial Regression.

[BibT_eX]

[DOI]

J. Mach. Learn. Res., 2021

2020

Robust Feedback Control of Nonlinear PDEs by Numerical Approximation of High-Dimensional Hamilton-Jacobi-Isaacs Equations.

[BibT_eX]

[DOI]

Sudeep Kundu

SIAM J. Appl. Dyn. Syst., 2020

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

[BibT_eX]

[DOI]

J. Optim. Theory Appl., 2020

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

[BibT_eX]

[DOI]

J. Math. Imaging Vis., 2020

Total Deep Variation: A Stable Regularizer for Inverse Problems.

[BibT_eX]

[DOI]

CoRR, 2020

Policy iteration for Hamilton-Jacobi-Bellman equations with control constraints.

[BibT_eX]

[DOI]

Sudeep Kundu

CoRR, 2020

Total Deep Variation for Linear Inverse Problems.

[BibT_eX]

[DOI]

Proceedings of the 2020 IEEE/CVF Conference on Computer Vision and Pattern Recognition, 2020

2019

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

[BibT_eX]

[DOI]

SIAM J. Control. Optim., 2019

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

[BibT_eX]

[DOI]

SIAM J. Control. Optim., 2019

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

[BibT_eX]

[DOI]

Daria Ghilli

J. Optim. Theory Appl., 2019

A Tensor Decomposition Approach for High-Dimensional Hamilton-Jacobi-Bellman Equations.

[BibT_eX]

[DOI]

Sergey Dolgov

CoRR, 2019

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

[BibT_eX]

[DOI]

CoRR, 2019

On monotone and primal-dual active set schemes for ℓp-type problems, p ∈ (0, 1].

[BibT_eX]

[DOI]

Daria Ghilli

Comput. Optim. Appl., 2019

2018

Magnetic Resonance RF Pulse Design by Optimal Control With Physical Constraints.

[BibT_eX]

[DOI]

IEEE Trans. Medical Imaging, 2018

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

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2018

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

[BibT_eX]

[DOI]

Laurent Pfeiffer

SIAM J. Control. Optim., 2018

Optimal Control of Elliptic Variational-Hemivariational Inequalities.

[BibT_eX]

[DOI]

Zijia Peng

J. Optim. Theory Appl., 2018

Sparse and Switching Infinite Horizon Optimal Control with Nonconvex Penalizations.

[BibT_eX]

[DOI]

Zhiping Rao

CoRR, 2018

2017

Optimal Control of Semilinear Parabolic Equations by BV-Functions.

[BibT_eX]

[DOI]

Florian Kruse

SIAM J. Control. Optim., 2017

Stabilization by Sparse Controls for a Class of Semilinear Parabolic Equations.

[BibT_eX]

[DOI]

SIAM J. Control. Optim., 2017

Feedback Stabilization to Nonstationary Solutions of a Class of Reaction Diffusion Equations of FitzHugh-Nagumo Type.

[BibT_eX]

[DOI]

Sérgio S. Rodrigues

SIAM J. Control. Optim., 2017

Nonconvex penalization of switching control of partial differential equations.

[BibT_eX]

[DOI]

Armin Rund

Syst. Control. Lett., 2017

Infinite Horizon Sparse Optimal Control.

[BibT_eX]

[DOI]

Zhiping Rao

J. Optim. Theory Appl., 2017

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

[BibT_eX]

[DOI]

Appl. Math. Comput., 2017

2016

Local Minimization Algorithms for Dynamic Programming Equations.

[BibT_eX]

[DOI]

Axel Kröner

SIAM J. Sci. Comput., 2016

A Sequential Method for a Class of Stable Mathematical Programming Problems.

[BibT_eX]

[DOI]

SIAM J. Optim., 2016

Optimal Control of the Undamped Linear Wave Equation with Measure Valued Controls.

[BibT_eX]

[DOI]

Philip Trautmann

SIAM J. Control. Optim., 2016

On the Stabilizability of the Burgers Equation by Receding Horizon Control.

[BibT_eX]

[DOI]

SIAM J. Control. Optim., 2016

A convex penalty for switching control of partial differential equations.

[BibT_eX]

[DOI]

Syst. Control. Lett., 2016

Robust ℓ1 Approaches to Computing the Geometric Median and Principal and Independent Components.

[BibT_eX]

[DOI]

Stephen L. Keeling

J. Math. Imaging Vis., 2016

2015

Feedback stabilization of the Schlögl model by LQG-balanced truncation.

[BibT_eX]

[DOI]

Proceedings of the 14th European Control Conference, 2015

2014

On Infimal Convolution of TV-Type Functionals and Applications to Video and Image Reconstruction.

[BibT_eX]

[DOI]

Martin Holler

SIAM J. Imaging Sci., 2014

Measure Valued Directional Sparsity for Parabolic Optimal Control Problems.

[BibT_eX]

[DOI]

Konstantin Pieper

SIAM J. Control. Optim., 2014

High Precision Identification of an Object: Optimality-Conditions-Based Concept of Imaging.

[BibT_eX]

[DOI]

Victor A. Kovtunenko

SIAM J. Control. Optim., 2014

Optimal Control with Lp(Ω), $p\in [0, 1)$, Control Cost.

[BibT_eX]

[DOI]

SIAM J. Control. Optim., 2014

Optimal Control of Semilinear Elliptic Equations in Measure Spaces.

[BibT_eX]

[DOI]

SIAM J. Control. Optim., 2014

Riccati-Based Feedback Control of the Monodomain Equations With the Fitzhugh-Nagumo Model.

[BibT_eX]

[DOI]

SIAM J. Control. Optim., 2014

Lossy Compression in Optimal Control of Cardiac Defibrillation.

[BibT_eX]

[DOI]

J. Sci. Comput., 2014

On Computation of the Shape Hessian of the Cost Functional Without Shape Sensitivity of the State Variable.

[BibT_eX]

[DOI]

J. Optim. Theory Appl., 2014

A Note on the Existence of Nonsmooth Nonconvex Optimization Problems.

[BibT_eX]

[DOI]

J. Optim. Theory Appl., 2014

Boundary control of bidomain equations with state-dependent switching source functions in the ionic model.

[BibT_eX]

[DOI]

Christian Engwer

J. Comput. Phys., 2014

A minimum effort optimal control problem for the wave equation.

[BibT_eX]

[DOI]

Axel Kröner

Comput. Optim. Appl., 2014

2013

A Bilevel Optimization Approach for Parameter Learning in Variational Models.

[BibT_eX]

[DOI]

Thomas Pock

SIAM J. Imaging Sci., 2013

On Time Optimal Control of the Wave Equation and Its Numerical Realization as Parametric Optimization Problem.

[BibT_eX]

[DOI]

Daniel Wachsmuth

SIAM J. Control. Optim., 2013

Parabolic Control Problems in Measure Spaces with Sparse Solutions.

[BibT_eX]

[DOI]

SIAM J. Control. Optim., 2013

Optimal control for elliptic systems with pointwise euclidean norm constraints on the controls.

[BibT_eX]

[DOI]

Xiliang Lu

Math. Program., 2013

Primal-dual methods for the computation of trading regions under proportional transaction costs.

[BibT_eX]

[DOI]

Roland Herzog

Jörn Sass

Math. Methods Oper. Res., 2013

Vortex control of instationary channel flows using translation invariant cost functionals.

[BibT_eX]

[DOI]

Comput. Optim. Appl., 2013

2012

Approximation of Elliptic Control Problems in Measure Spaces with Sparse Solutions.

[BibT_eX]

[DOI]

SIAM J. Control. Optim., 2012

Path-following for optimal control of stationary variational inequalities.

[BibT_eX]

[DOI]

Daniel Wachsmuth

Comput. Optim. Appl., 2012

Vortex control in channel flows using translational invariant cost functionals.

[BibT_eX]

[DOI]

Comput. Optim. Appl., 2012

A measure space approach to optimal source placement.

[BibT_eX]

[DOI]

Comput. Optim. Appl., 2012

On free surface PDE constrained shape optimization problems.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2012

2011

Obstacle Problems with Cohesion: A Hemivariational Inequality Approach and Its Efficient Numerical Solution.

[BibT_eX]

[DOI]

Victor A. Kovtunenko

SIAM J. Optim., 2011

Semismooth Newton Methods for Optimal Control of the Wave Equation with Control Constraints.

[BibT_eX]

[DOI]

Axel Kröner

SIAM J. Control. Optim., 2011

Karush-Kuhn-Tucker Conditions for Nonsmooth Mathematical Programming Problems in Function Spaces.

[BibT_eX]

[DOI]

SIAM J. Control. Optim., 2011

Minimal Effort Problems and Their Treatment by Semismooth Newton Methods.

[BibT_eX]

[DOI]

SIAM J. Control. Optim., 2011

A parallel Newton-Krylov method for optimal control of the monodomain model in cardiac electrophysiology.

[BibT_eX]

[DOI]

Marcus Wagner

Comput. Vis. Sci., 2011

Numerical solution for optimal control of the reaction-diffusion equations in cardiac electrophysiology.

[BibT_eX]

[DOI]

Gernot Plank

Comput. Optim. Appl., 2011

2010

A Duality-Based Splitting Method for l1-TV Image Restoration with Automatic Regularization Parameter Choice.

[BibT_eX]

[DOI]

Bangti Jin

SIAM J. Sci. Comput., 2010

Approximate Nullspace Iterations for KKT Systems.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2010

A Semismooth Newton Method for L1 Data Fitting with Automatic Choice of Regularization Parameters and Noise Calibration.

[BibT_eX]

[DOI]

Bangti Jin

SIAM J. Imaging Sci., 2010

Total Generalized Variation.

[BibT_eX]

[DOI]

Kristian Bredies

Thomas Pock

SIAM J. Imaging Sci., 2010

Optimal Control for an Elliptic System with Polygonal State Constraints.

[BibT_eX]

[DOI]

Kewei Liang

Xiliang Lu

SIAM J. Control. Optim., 2010

Semismooth Newton Methods for Time-Optimal Control for a Class of ODEs.

[BibT_eX]

[DOI]

SIAM J. Control. Optim., 2010

2009

PDE-Constrained Optimization Subject to Pointwise Constraints on the Control, the State, and Its Derivative.

[BibT_eX]

[DOI]

SIAM J. Optim., 2009

Asymptotic Properties of Feedback Solutions for a Class of Quantum Control Problems.

[BibT_eX]

[DOI]

SIAM J. Control. Optim., 2009

On a semi-smooth Newton method and its globalization.

[BibT_eX]

[DOI]

Math. Program., 2009

2008

Reduced-Order Optimal Control Based on Approximate Inertial Manifolds for Nonlinear Dynamical Systems.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2008

Lagrange multiplier approach to variational problems and applications.

[BibT_eX]

Advances in design and control, SIAM, ISBN: 978-0-89871-649-8, 2008

2007

Constrained Dirichlet Boundary Control in L2 for a Class of Evolution Equations.

[BibT_eX]

[DOI]

SIAM J. Control. Optim., 2007

Optimal Vortex Reduction for Instationary Flows Based on Translation Invariant Cost Functionals.

[BibT_eX]

[DOI]

SIAM J. Control. Optim., 2007

Optimal Bilinear Control of an Abstract Schrödinger Equation.

[BibT_eX]

[DOI]

SIAM J. Control. Optim., 2007

Convergence of the Primal-Dual Active Set Strategy for Diagonally Dominant Systems.

[BibT_eX]

[DOI]

SIAM J. Control. Optim., 2007

2006

Path-following Methods for a Class of Constrained Minimization Problems in Function Space.

[BibT_eX]

[DOI]

SIAM J. Optim., 2006

Receding Horizon Control with Incomplete Observations.

[BibT_eX]

[DOI]

SIAM J. Control. Optim., 2006

Feasible and Noninterior Path-Following in Constrained Minimization with Low Multiplier Regularity.

[BibT_eX]

[DOI]

SIAM J. Control. Optim., 2006

Optimal Control for a Stationary MHD System in Velocity-Current Formulation.

[BibT_eX]

[DOI]

Roland Griesse

SIAM J. Control. Optim., 2006

A globalization strategy for the multigrid solution of elliptic optimal control problems.

[BibT_eX]

[DOI]

Optim. Methods Softw., 2006

A Semi-smooth Newton Method for Regularized State-constrained Optimal Control of the Navier-Stokes Equations.

[BibT_eX]

[DOI]

Juan Carlos de los Reyes

Computing, 2006

Trading Regions Under Proportional Transaction Costs.

[BibT_eX]

[DOI]

Jörn Sass

Proceedings of the Operations Research, 2006

2005

Denoising of Smooth Images Using L1-Fitting.

[BibT_eX]

[DOI]

Tommi Kärkkäinen

Kirsi Majava

Computing, 2005

A Multigrid Scheme for Elliptic Constrained Optimal Control Problems.

[BibT_eX]

[DOI]

Comput. Optim. Appl., 2005

2004

The Primal-Dual Active Set Method for Nonlinear Optimal Control Problems with Bilateral Constraints.

[BibT_eX]

[DOI]

SIAM J. Control. Optim., 2004

Total Bounded Variation Regularization as a Bilaterally Constrained Optimization Problem.

[BibT_eX]

[DOI]

SIAM J. Appl. Math., 2004

HJB-POD-Based Feedback Design for the Optimal Control of Evolution Problems.

[BibT_eX]

[DOI]

Stefan Volkwein

Lei Xie

SIAM J. Appl. Dyn. Syst., 2004

2003

Optimal Control Formulation for Determining Optical Flow.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2003

An Infeasible Active Set Method for Quadratic Problems with Simple Bounds.

[BibT_eX]

[DOI]

Franz Rendl

SIAM J. Optim., 2003

Semi-smooth Newton methods for state-constrained optimal control problems.

[BibT_eX]

[DOI]

Syst. Control. Lett., 2003

On the structure of Lagrange multipliers for state-constrained optimal control problems.

[BibT_eX]

[DOI]

Maïtine Bergounioux

Syst. Control. Lett., 2003

Tube Methods for BV Regularization.

[BibT_eX]

[DOI]

J. Math. Imaging Vis., 2003

Shape Optimization and Fictitious Domain Approach for Solving Free Boundary Problems of Bernoulli Type.

[BibT_eX]

[DOI]

Comput. Optim. Appl., 2003

2002

Galerkin Proper Orthogonal Decomposition Methods for a General Equation in Fluid Dynamics.

[BibT_eX]

[DOI]

Stefan Volkwein

SIAM J. Numer. Anal., 2002

Primal-Dual Active Set Strategy for a General Class of Constrained Optimal Control Problems.

[BibT_eX]

[DOI]

Arnd Rösch

SIAM J. Optim., 2002

The Primal-Dual Active Set Strategy as a Semismooth Newton Method.

[BibT_eX]

[DOI]

SIAM J. Optim., 2002

Asymptotic Properties of Receding Horizon Optimal Control Problems.

[BibT_eX]

[DOI]

SIAM J. Control. Optim., 2002

Optimal Control of the Solid Fuel Ignition Model with H[sup 1]-Cost.

[BibT_eX]

[DOI]

SIAM J. Control. Optim., 2002

Accuracy and Convergence Properties of the Finite Difference Multigrid Solution of an Optimal Control Optimality System.

[BibT_eX]

[DOI]

Do Y. Kwak

SIAM J. Control. Optim., 2002

Primal-Dual Strategy for State-Constrained Optimal Control Problems.

[BibT_eX]

[DOI]

Maïtine Bergounioux

Comput. Optim. Appl., 2002

2001

Second Order Methods for Optimal Control of Time-Dependent Fluid Flow.

[BibT_eX]

[DOI]

Michael Hinze

SIAM J. Control. Optim., 2001

Galerkin proper orthogonal decomposition methods for parabolic problems.

[BibT_eX]

[DOI]

Stefan Volkwein

Numerische Mathematik, 2001

Numerical Gradients for Shape Optimization Based on Embedding Domain Techniques.

[BibT_eX]

[DOI]

Gunther H. Peichl

Comput. Optim. Appl., 2001

2000

The Numerical Solution of the Steady State Solid Fuel Ignition Model and Its Optimal Control.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2000

Newton's Method for a Class of Weakly Singular Optimal Control Problems.

[BibT_eX]

[DOI]

SIAM J. Optim., 2000

A Comparison of a Moreau-Yosida-Based Active Set Strategy and Interior Point Methods for Constrained Optimal Control Problems.

[BibT_eX]

[DOI]

SIAM J. Optim., 2000

1996

Augmented Lagrangian-SQP-Methods in Hilbert Spaces and Application to Control in the Coefficients Problems.

[BibT_eX]

[DOI]

SIAM J. Optim., 1996

On Weakly Nonlinear Inverse Problems.

[BibT_eX]

[DOI]

Guy Chavent

SIAM J. Appl. Math., 1996

1993

On a class of damped Morozov principles.

[BibT_eX]

[DOI]

Computing, 1993

1992

On the Choice of the Regularization Parameter in Nonlinear Inverse Problems.

[BibT_eX]

[DOI]

SIAM J. Optim., 1992

1991

A Numerical Study of an Augmented Lagrangian Method for the Estimation of Parameters in Elliptic Systems.

[BibT_eX]

[DOI]

M. Kroller

SIAM J. Sci. Comput., 1991

1990

The Augmented Lagrangian Method for Equality and Inequality Constraints in Hilbert Spaces.

[BibT_eX]

[DOI]

Math. Program., 1990

1988

A review of some recent results on the output least squares formulation of parameter estimation problems.

[BibT_eX]

[DOI]