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arXiv · 1707.03698

Stability for Bang-Bang Control Problems of Partial Differential Equations

Nguyen Thanh Qui·Daniel Wachsmuth
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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 Hölder stability of optimal controls in $L^1$.

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Nguyen Thanh Qui, Daniel Wachsmuth. 2017-07-12. Stability for Bang-Bang Control Problems of Partial Differential Equations. https://arxiv.org/abs/1707.03698

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