Controllability of nonlinear systems in Banach spaces: A survey

被引：157

作者：

Balachandran, K ^{[1
]}

Dauer, JP

机构：

[1] Bharathiar Univ, Coimbatore, Tamil Nadu, India

[2] Univ Tennessee, Chattanooga, TN USA

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2002年 / 115卷 / 01期

关键词：

exact controllability; approximate controllability; K-controllability; boundary controllability; fixed-point theorems; semigroup theory;

D O I：

10.1023/A:1019668728098

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：

This paper presents a survey on research using fixed-point theorems and semigroup theory to study the controllability of nonlinear systems and functional integrodifferential systems in Banach spaces. Also discussed is the use of this technique in K-controllability and boundary controllability problems for nonlinear systems and integrodifferential systems in abstract spaces.

引用

页码：7 / 28

页数：22

共 86 条

[1] FINITE-TIME NULL CONTROLLABILITY FOR A CLASS OF LINEAR EVOLUTION-EQUATIONS ON A BANACH-SPACE WITH CONTROL CONSTRAINTS [J].