APPROXIMATE CONTROLLABILITY OF SEMILINEAR NON-AUTONOMOUS EVOLUTION SYSTEMS WITH STATE-DEPENDENT DELAY

被引：26

作者：

Fu, Xianlong ^{[1
]}

机构：

[1] East China Normal Univ, Dept Math, Shanghai Key Lab PMMP, Shanghai 200241, Peoples R China

来源：

EVOLUTION EQUATIONS AND CONTROL THEORY | 2017年 / 6卷 / 04期

关键词：

Approximate controllability; non-autonomous evolution equation; linear evolution system; state-dependent delay; fractional power operator; FUNCTIONAL-DIFFERENTIAL EQUATIONS; INTEGRODIFFERENTIAL EQUATIONS; INFINITE DELAY; HILBERT-SPACES; BANACH-SPACE; EXISTENCE; INCLUSIONS; MEMORY; MODEL;

D O I：

10.3934/eect.2017026

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The controllability of non-autonomous evolution systems is an important and difficult topic in control theory. In this paper, we study the approximate controllability of semilinear non-autonomous evolution systems with state-dependent delay. The theory of linear evolution operators is used instead of C-0-semigroup to discuss the problem. Some sufficient conditions of approximate controllability are formulated and proved here by using the resolvent operator condition. Finally, two examples are provided to illustrate the applications of the obtained results.

引用

页码：517 / 534

页数：18

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