Optimal control of a rate-independent evolution equation via viscous regularization
Optimization and Control
2016-11-04 v2 Analysis of PDEs
Abstract
We study the optimal control of a rate-independent system that is driven by a convex, quadratic energy. Since the associated solution mapping is non-smooth, the analysis of such control problems is challenging. In order to derive optimality conditions, we study the regularization of the problem via a smoothing of the dissipation potential and via the addition of some viscosity. The resulting regularized optimal control problem is analyzed. By driving the regularization parameter to zero, we obtain a necessary optimality condition for the original, non-smooth problem.
Cite
@article{arxiv.1607.00809,
title = {Optimal control of a rate-independent evolution equation via viscous regularization},
author = {Ulisse Stefanelli and Gerd Wachsmuth and Daniel Wachsmuth},
journal= {arXiv preprint arXiv:1607.00809},
year = {2016}
}