Stability for Bang-Bang Control Problems of Partial Differential Equations

Nguyen Thanh Qui, Daniel Wachsmuth

Published 2017-07-12Version 1

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 $L^1$.