Stability for bang-bang control problems of partial differential equations

被引：14
|
作者：
Nguyen Thanh Qui [1 ,2 ]
Wachsmuth, Daniel [2 ]
机构：
[1] Can Tho Univ, Coll Informat & Commun Technol, Campus 2,3-2 St, Can Tho, Vietnam
[2] Univ Wurzburg, Inst Math, Emil Fischer Str 30, D-97074 Wurzburg, Germany
来源：
OPTIMIZATION | 2018年 / 67卷 / 12期
关键词：
Control problem; bang-bang control; semilinear partial differential equation; perturbed control problem; linear perturbation; solution stability; REGULARIZATION; OPTIMALITY;
D O I：
10.1080/02331934.2018.1522634
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
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 Holder stability of optimal controls in.
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页码：2157 / 2177
页数：21
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