Stability of piecewise linear systems revisited

被引：57

作者：

Sun, Zhendong ^{[1
]}

机构：

[1] S China Univ Technol, Ctr Control & Optimizat, Coll Automat Sci & Engn, Guangzhou 510641, Peoples R China

来源：

ANNUAL REVIEWS IN CONTROL | 2010年 / 34卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Piecewise linear systems; Piecewise quadratic Lyapunov functions; Surface Lyapunov functions; Impact maps; State transition graphs; LYAPUNOV FUNCTIONS; WELL-POSEDNESS; CONTROLLABILITY; AFFINE; CONFIDENCE; NETWORKS; DYNAMICS; DESIGN; AGENTS; SUM;

D O I：

10.1016/j.arcontrol.2010.08.003

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Piecewise linear systems are important in representing and approximating many practical systems with complex dynamics. While stability analysis of switched linear systems are notoriously challenging, several powerful tools have been developed to cope with the challenges. This paper provides a brief survey on stability of piecewise linear systems. The approaches introduced here range from the Lyapunov method to switching-transition-based analysis, and the combined. Main features and advantages of each approach are discussed and compared. Numerical examples and a case study are also presented to illustrate the effectiveness of the approaches. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：221 / 231

页数：11

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