Stability for Bang-Bang Control Problems of Partial Differential Equations
Optimization and Control
2017-07-13 v1
Abstract
In this paper, we investigate solution stability for control problems of partial differential equations with the cost functional not involving the usual quadratic term for the control. We first establish a sufficient optimality condition for the optimal control problems with bang-bang controls. Then we obtain criteria for solution stability for the optimal control problems of bang-bang controls under linear perturbations. We prove H\"older stability of optimal controls in .
Cite
@article{arxiv.1707.03698,
title = {Stability for Bang-Bang Control Problems of Partial Differential Equations},
author = {Nguyen Thanh Qui and Daniel Wachsmuth},
journal= {arXiv preprint arXiv:1707.03698},
year = {2017}
}