Stability and controllability of planar, conewise linear systems

被引：22

作者：

Arapostathis, Ari

Broucke, Mireille E. ^{[1
]}

机构：

[1] Univ Toronto, Dept Elect & Comp Engn, Toronto, ON M5S 3G4, Canada

[2] Univ Texas, Dept Elect & Comp Engn, Austin, TX 78712 USA

来源：

SYSTEMS & CONTROL LETTERS | 2007年 / 56卷 / 02期

关键词：

switched systems; piecewise-linear systems; stability; controllability;

D O I：

10.1016/j.sysconle.2006.08.008

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper presents a fairly complete treatment of stability and controllability of piecewise-linear systems defined on a conic partition of R-2. This includes necessary and sufficient conditions for stability and controllability, as well as establishing that controllability implies stabilizability by piecewise-linear state feedback. A key tool in the approach is the study of the Poincare map. (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：150 / 158

页数：9

共 15 条

[1] Lie-algebraic stability criteria or switched systems [J].