88 citations · 467 across the 63 of their papers we have counts for
8 papers · 2 filters
Optimal control of the principal coefficient in a scalar wave equation
Christian Clason, Karl Kunisch, Philip Trautmann
We consider optimal control of the scalar wave equation where the control enters as a coefficient in the principal part. Adding a total variation penalty allows showing existence o…
Feedback Stabilization of the Three-Dimensional Navier-Stokes Equations using Generalized Lyapunov Equations
Tobias Breiten, Karl Kunisch
The approximation of the value function associated to a stabilization problem formulated as optimal control problem for the Navier-Stokes equations in dimension three by means of s…
Tensor Decomposition Methods for High-dimensional Hamilton-Jacobi-Bellman Equations
Sergey Dolgov, Dante Kalise, Karl Kunisch
A tensor decomposition approach for the solution of high-dimensional, fully nonlinear Hamilton-Jacobi-Bellman equations arising in optimal feedback control of nonlinear dynamics is…
An Optimal Control Approach to Early Stopping Variational Methods for Image Restoration
Alexander Effland, Erich Kobler, Karl Kunisch +1
We investigate a well-known phenomenon of variational approaches in image processing, where typically the best image quality is achieved when the gradient flow process is stopped b…
Optimal control of an energy-critical semilinear wave equation in 3D with spatially integrated control constraints
Karl Kunisch, Hannes Meinlschmidt
This paper is concerned with an optimal control problem subject to the -critical defocusing semilinear wave equation on a smooth and bounded domain in three spatial dimensions…
Robust feedback control of nonlinear PDEs by numerical approximation of high-dimensional Hamilton-Jacobi-Isaacs equations
Dante Kalise, Sudeep Kundu, Karl Kunisch
We propose an approach for the synthesis of robust and optimal feedback controllers for nonlinear PDEs. Our approach considers the approximation of infinite-dimensional control sys…
Feedback Stabilization of the Two-Dimensional Navier-Stokes Equations by Value Function Approximation
Tobias Breiten, Karl Kunisch, Laurent Pfeiffer
The value function associated with an optimal control problem subject to the Navier-Stokes equations in dimension two is analyzed. Its smoothness is established around a steady sta…
A Hybrid Finite-Dimensional RHC for Stabilization of Time-Varying Parabolic Equations
Behzad Azmi, Karl Kunisch
The present work is concerned with the stabilization of a general class of time-varying linear parabolic equations by means of a finite-dimensional receding horizon control (RHC).…