activity
20142023
most citedPolynomial approximation of high-dimensional Hamilton-Jacobi-Bellman equations and applications to feedback control of semilinear parabolic PDEs

88 citations · 467 across the 63 of their papers we have counts for

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Showing 2018Show all

8 papers · 1 filter

math.OC2018★ 11 cited

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…

math.OC2018

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…

math.OC2018

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…

math.OC2018★ 10 cited

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…

math.OC2018★ 2 cited

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…

math.OC2018

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…