Stability for bang-bang control problems of partial differential equations. (2nd December 2018)

• Record Type: Journal Article
• Authors: Qui, Nguyen Thanh; Wachsmuth, Daniel
• Is Part Of: Optimization. Volume 67:Number 12(2018)
• Page Start: 2157
• Page End: 2177
• Publication Date: 2018-12-02
• Subjects: Control problem -- bang-bang control -- semilinear partial differential equation -- perturbed control problem -- linear perturbation -- solution stability; 49K20 -- 49K30 -- 35J61; Mathematical optimization -- Periodicals; 519.7
• DOI: 10.1080/02331934.2018.1522634
• Languages: English
• ISSNs: 0233-1934

Abstract

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 .