Sensitivity of optimal solutions to control problems for systems described by hemivariational inequalities

被引：0

作者：

Denkowski, Z ^{[1
]}

Migórski, S ^{[1
]}

机构：

[1] Jagiellonian Univ, Fac Math & Comp Sci, Inst Comp Sci, PL-30072 Krakow, Poland

来源：

CONTROL AND CYBERNETICS | 2004年 / 33卷 / 02期

关键词：

hemivariational inequality; control problem; sensitivity; the Clarke subdifferential; multifunction; pseudomonotone and maximal monotone operators; G; PG and Gamma convergences;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper the sensitivity of optimal solutions to control problems for the systems described by stationary and evolution hemivariational inequalities (HVIs) under perturbations of state relations and of cost functional is investigated. First, basing on the theory of sequential Gamma-convergence we recall the abstract scheme concerning convergence of minimal values and minimizers. The abstract scheme works provided we can establish two properties: the Kuratowski convergence of solution sets for HVIs (state relations) and some complementary Gamma-convergence of the cost functionals. Then these two properties are implemented in each considered case.

引用

页码：211 / 236

页数：26

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