APPROXIMATE CONTROLLABILITY FOR NONLINEAR EVOLUTION HEMIVARIATIONAL INEQUALITIES IN HILBERT SPACES

被引：44

作者：

Liu, Zhenhai ^{[1
,2
]}

Li, Xiuwen ^{[3
]}

Motreanu, Dumitru ^{[4
]}

机构：

[1] Guangxi Univ Nationalities, Guangxi Key Lab Univ Optimizat Control & Engn Cal, Nanning 530006, Guangxi Provinc, Peoples R China

[2] Guangxi Univ Nationalities, Coll Sci, Nanning 530006, Guangxi Provinc, Peoples R China

[3] Baise Univ, Dept Math, Baise 533000, Guangxi Provinc, Peoples R China

[4] Univ Perpignan, Dept Math, F-66860 Perpignan, France

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2015年 / 53卷 / 05期

关键词：

approximate controllability; nonlinear evolution inclusions; hemivariational inequalities; generalized gradient; fixed point theorem; NONLOCAL CONDITIONS; STOCHASTIC-SYSTEMS; EXISTENCE; INCLUSIONS; CONVEXITY;

D O I：

10.1137/140994058

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Here we study the approximate controllability for control problems driven by a class of nonlinear evolution hemivariational inequalities in Hilbert spaces. Actually, our results cover a broader class of inclusion problems involving time-dependent operators. First, by using a fixed point approach and nonsmooth analysis, we show the existence of mild solutions for the inequality problem. Next, we provide a sufficient condition guaranteeing the approximate controllability of our problem in terms of an associated linear control system. An example demonstrates the applicability of our results.

引用

页码：3228 / 3244

页数：17

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