Lyapunov stability of a class of hybrid dynamic systems

被引：38

作者：

Li, ZG

Soh, CB

Xu, XH

机构：

[1] Nanyang Technol Univ, Sch Elect & Elect Engn, Singapore 639798, Singapore

[2] Northeastern Univ, Dept Automat Control, Shenyang, Liaoning, Peoples R China

来源：

AUTOMATICA | 2000年 / 36卷 / 02期

关键词：

hybrid dynamic systems; stability; switching; Lyapunov;

D O I：

10.1016/S0005-1098(99)00144-2

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 considers the stability of hybrid dynamic systems in the sense of Lyapunov. Necessary and sufficient conditions are derived which require only the Lyapunov function to be nonincreasing only along one subsequence of the "switching". (C) 1999 Elsevier Science Ltd. All rights reserved.

引用

页码：297 / 302

页数：6

共 9 条

[1]

BRANICKY MS, 1996, 13 IFAC WORLD C, P287

[2]

CHASE C, 1993, IEEE T AUTOMATIC CON, V32, P909

[3]

DOGRUEL M, 1994, IEEE INT S INT CONTR, V38, P70

[4]

Khalil H. K., 1992, NONLINEAR SYSTEMS

[5]

Lakshmikantham V., 1993, STABILITY ANAL TERMS, DOI 10.1142/2018

[6]

Savkin AV, 1998, IEEE DECIS CONTR P, P3214, DOI 10.1109/CDC.1998.758193

[7]

SHEVITZ D, 1993, PROCEEDINGS OF THE 32ND IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, P416, DOI 10.1109/CDC.1993.325114

[8]

Ye H, 1995, PROCEEDINGS OF THE 34TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, P2679, DOI 10.1109/CDC.1995.478517

[9]

YE H, 1996, 13 IFAC WORLD C, P461

← 1 →