28 citations · 159 across the 23 of their papers we have counts for
33 papers · 1 filter
Differentiability of the Value Function on of Semilinear Parabolic Infinite Time Horizon Optimal Control Problems under Control Constraints
Karl Kunisch, Buddhika Priyasad
An abstract framework guaranteeing the continuous differentiability of local value functions on associated with optimal stabilization problems subject to abstract semiline…
Global stabilizability to trajectories for the Schlögl equation in a Sobolev norm
Karl Kunisch, Sérgio S. Rodrigues
The stabilizability to trajectories of the Schlögl model is investigated in the norm of the natural state space for strong solutions, which is strictly contained in the standard pi…
Shape Derivative for Penalty-Constrained Nonsmooth-Nonconvex Optimization: Cohesive Crack Problem
Victor A. Kovtunenko, Karl Kunisch
A class of non-smooth and non-convex optimization problems with penalty constraints linked to variational inequalities (VI) is studied with respect to its shape differentiability.…
Saturated feedback stabilizability to trajectories for the Schlögl parabolic equation
Behzad Azmi, Karl Kunisch, Sérgio S. Rodrigues
It is shown that there exist a finite number of indicator functions, which allow us to track an arbitrary given trajectory of the Schlögl model, by means of an explicit saturated f…
On fast convergence rates for generalized conditional gradient methods with backtracking stepsize
Karl Kunisch, Daniel Walter
A generalized conditional gradient method for minimizing the sum of two convex functions, one of them differentiable, is presented. This iterative method relies on two main ingredi…
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…