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
收藏
页码：3228 / 3244
页数：17
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