Optimal control of parabolic hemivariational inequalities

被引：69

作者：

Migórski, S ^{[1
]}

Ochal, A ^{[1
]}

机构：

[1] Jagiellonian Univ, Inst Comp Sci, Krakow, Poland

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2000年 / 17卷 / 1-4期

关键词：

compact embedding; control problem; hemivariational inequality; monotone operator; multifunction; parabolic equation; selection; semicontinuity;

D O I：

10.1023/A:1026555014562

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 study the optimal control of systems driven by parabolic hemivariational inequalities. First, we establish the existence of solutions to a parabolic hemivariational inequality which contains nonlinear evolution operator. Introducing a control variable in the second member and in the multivalued term, we prove the upper semicontinuity property of the solution set of the inequality. Then we use this result and the direct method of the calculus of variations to show the existence of optimal admissible state-control pairs.

引用

页码：285 / 300

页数：16

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