TOPOLOGICAL METHODS FOR THE LOCAL-CONTROLLABILITY OF NONLINEAR-SYSTEMS

被引：7

作者：

KRYSZEWSKI, W ^{[1
]}

PLASKACZ, S ^{[1
]}

机构：

[1] NICHOLAS COPERNICUS UNIV,INST MATH,PL-87100 TORUN,POLAND

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 1994年 / 32卷 / 01期

关键词：

SMALL-TIME LOCAL CONTROLLABILITY; TOPOLOGICAL DEGREE; PERTURBED LINEAR SYSTEMS; VECTOR FIELDS;

D O I：

10.1137/S0363012992184165

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Local controllability of systems using the topological degree of finite-dimensional set-valued maps is studied. For perturbed linear systems a generalization of the Lee-Markus sufficient condition of local controllability is established. For systems given by a finite family of continuous Vector fields first order controllability condition is obtained. In both cases, a set of control functions sufficient for the local controllability is described, which is homeomorphic with a d-dimensional unit ball, where d is the dimension of the state space.

引用

页码：213 / 223

页数：11

共 50 条

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