88 citations · 467 across the 63 of their papers we have counts for
9 papers · 2 filters
Stabilization of nonautonomous parabolic equations by a single moving actuator
Behzad Azmi, Karl Kunisch, Sérgio S. Rodrigues
It is shown that an internal control based on a moving indicator function is able to stabilize the state of parabolic equations evolving in rectangular domains. For proving the sta…
Optimal Control of the 2D Evolutionary Navier-Stokes Equations with Measure Valued Controls
Eduardo Casas, Karl Kunisch
In this paper, we consider an optimal control problem for the two-dimensional evolutionary Navier-Stokes system. Looking for sparsity, we take controls as functions of time taking…
Optimal Feedback Law Recovery by Gradient-Augmented Sparse Polynomial Regression
Behzad Azmi, Dante Kalise, Karl Kunisch
A sparse regression approach for the computation of high-dimensional optimal feedback laws arising in deterministic nonlinear control is proposed. The approach exploits the control…
An inverse problem involving a viscous Eikonal equation with applications in electrophysiology
Karl Kunisch, Philip Trautmann
In this work we discuss the reconstruction of cardiac activation instants based on a viscous Eikonal equation from boundary observations. The problem is formulated as an least squa…
Policy iteration for Hamilton-Jacobi-Bellman equations with control constraints
Sudeep Kundu, Karl Kunisch
Policy iteration is a widely used technique to solve the Hamilton Jacobi Bellman (HJB) equation, which arises from nonlinear optimal feedback control theory. Its convergence analys…
Neural Network Based Nonlinear Observers
Tobias Breiten, Karl Kunisch
Nonlinear observers based on the well-known concept of minimum energy estimation are discussed. The approach relies on an output injection operator determined by a Hamilton-Jacobi-…
Total Deep Variation for Linear Inverse Problems
Erich Kobler, Alexander Effland, Karl Kunisch +1
Diverse inverse problems in imaging can be cast as variational problems composed of a task-specific data fidelity term and a regularization term. In this paper, we propose a novel…
Semiglobal optimal feedback stabilization of autonomous systems via deep neural network approximation
Karl Kunisch, Daniel Walter
A learning approach for optimal feedback gains for nonlinear continuous time control systems is proposed and analysed. The goal is to establish a rigorous framework for computing a…
Learning nonlocal regularization operators
Gernot Holler, Karl Kunisch
A learning approach for determining which operator from a class of nonlocal operators is optimal for the regularization of an inverse problem is investigated. The considered class…