88 citations · 467 across the 63 of their papers we have counts for
8 papers · 2 filters
The Effect of the Terminal Penalty in Receding Horizon Control for a Class of Stabilization Problems
Karl Kunisch, Laurent Pfeiffer
The Receding Horizon Control (RHC) strategy consists in replacing an infinite-horizon stabilization problem by a sequence of finite-horizon optimal control problems, which are nume…
Time-optimality by distance-optimality for parabolic control systems
Lucas Bonifacius, Karl Kunisch
The equivalence of time-optimal and distance-optimal control problems is shown for a class of parabolic control systems. Based on this equivalence, an approach for the efficient al…
Optimal Control of the Linear Wave Equation by Time-Depending BV-Controls: A Semi-Smooth Newton Approach
Sebastian Engel, Karl Kunisch
An optimal control problem for the linear wave equation with control cost chosen as the BV semi-norm in time is analyzed. This formulation enhances piecewise constant optimal contr…
Sparse and Switching Infinite Horizon Optimal Control with Mixed-Norm Penalizations
Dante Kalise, Karl Kunisch, Zhiping Rao
A class of infinite horizon optimal control problems involving mixed quasi-norms of -type cost functionals for the controls is discussed. These functionals enhance sparsity an…
Analysis and Performance of the Barzilai-Borwein Step-Size Rules for Optimization Problems in Hilbert Spaces
Behzad Azmi, Karl Kunisch
Due to simplicity, computational cheapness, and efficiency, the Barzilai and Borwein (BB) gradient method has received a significant amount of attention in different fields of opti…
On a monotone scheme for nonconvex nonsmooth optimization with applications to fracture mechanics
Daria Ghilli, Karl Kunisch
A general class of nonconvex optimization problems is considered, where the penalty is the composition of a linear operator with a nonsmooth nonconvex mapping, which is concave on…
A Bilevel Approach for Parameter Learning in Inverse Problems
Gernot Holler, Karl Kunisch, Richard C. Barnard
A learning approach to selecting regularization parameters in multi-penalty Tikhonov regularization is investigated. It leads to a bilevel optimization problem, where the lower lev…
Optimal control problem for systems of conservation laws, with geometric parameter, and application to the Shallow-Water Equations
Sébastien Court, Karl Kunisch, Laurent Pfeiffer
A theoretical framework and numerical techniques to solve optimal control problems with a spatial trace term in the terminal cost and governed by regularized nonlinear hyperbolic c…