88 citations · 467 across the 63 of their papers we have counts for
5 papers · 1 filter
Hybrid Optimal Control Problems for a Class of Semilinear Parabolic Equations
Sébastien Court, Karl Kunisch, Laurent Pfeiffer
A class of optimal control problems of hybrid nature governed by semilinear parabolic equations is considered. These problems involve the optimization of switching times at which t…
Optimal Control for a Class of Infinite Dimensional Systems Involving an -term in the Cost Functional
Sébastien Court, Karl Kunisch, Laurent Pfeiffer
An optimal control problem with a time-parameter is considered. The functional to be optimized includes the maximum over time-horizon reached by a function of the state variable, a…
Almost global existence of weak solutions for the nonlinear elastodynamics system for a class of strain energies
Sébastien Court, Karl Kunisch
The aim of this paper is to prove the existence of almost global weak solutions for the unsteady nonlinear elastodynamics system in dimension or , for a range of strain en…
Nonconvex penalization of switching control of partial differential equations
Christian Clason, Armin Rund, Karl Kunisch
This paper is concerned with optimal control problems for parabolic partial differential equations with pointwise in time switching constraints on the control. A standard approach…
Infinite horizon sparse optimal control
Dante Kalise, Karl Kunisch, Zhiping Rao
A class of infinite horizon optimal control problems involving -type cost functionals with is discussed. The existence of optimal controls is studied for both the…