Controllability of Nonlinear Systems with Restrained Controls

被引：10

作者：

Dauer, J. P. ^{[1
]}

机构：

[1] Univ Nebraska, Dept Math, Lincoln, NE 68588 USA

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1974年 / 14卷 / 03期

关键词：

Controllability; nonlinear systems; linearization methods; control variable constraints; control theory;

D O I：

10.1007/BF00932609

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：

In this paper, we examine the controllability of nonlinear differential systems which are perturbations of systems of the form (x) over dot = A(t) x + k(t, u). Under appropriate assumptions, we show that integrably bounded perturbations preserve the controllability properties of the base system in the case when the control values are restrained. Our approach is based on the necessary and sufficient growth condition for controllability developed earlier by the author.

引用

页码：251 / 262

页数：12