28 citations · 120 across the 8 of their papers we have counts for
8 papers
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…
Analysis of optimal control problems of semilinear elliptic equations by BV-functions
Eduardo Casas, Karl Kunisch
Optimal control problems for semilinear elliptic equations with control costs in the space of bounded variations are analysed. BV-based optimal controls favor piecewise constant, a…
Numerical Study of Polynomial Feedback Laws for a Bilinear Control Problem
Tobias Breiten, Karl Kunisch, Laurent Pfeiffer
An infinite-dimensional bilinear optimal control problem with infinite-time horizon is considered. The associated value function can be expanded in a Taylor series around the equil…
Control Strategies for the Fokker-Planck Equation
Tobias Breiten, Karl Kunisch, Laurent Pfeiffer
Using a projection-based decoupling of the Fokker-Planck equation, control strategies that allow to speed up the convergence to the stationary distribution are investigated. By mea…
Taylor Expansions of the Value Function Associated with a Bilinear Optimal Control Problem
Tobias Breiten, Karl Kunisch, Laurent Pfeiffer
A general bilinear optimal control problem subject to an infinite-dimensional state equation is considered. Polynomial approximations of the associated value function are derived a…
A convex analysis approach to optimal controls with switching structure for partial differential equations
Christian Clason, Kazufumi Ito, Karl Kunisch
Optimal control problems involving hybrid binary-continuous control costs are challenging due to their lack of convexity and weak lower semicontinuity. Replacing such costs with th…