Less conservative conditions for asymptotic stability of impulsive control systems

被引:194
作者
Sun, JT [1 ]
Zhang, YP
Wu, QD
机构
[1] Tongji Univ, Dept Appl Math, Shanghai 200092, Peoples R China
[2] Tongji Univ, CIMS Res Ctr, Shanghai 200092, Peoples R China
关键词
impulsive control; impulsive systems; stability;
D O I
10.1109/TAC.2003.811262
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 note studies the stability of impulsive control systems. A new comparison theorem for asymptotic stability of impulsive differential system is presented. Based on the new result, we derive some less conservative conditions for asymptotic stability of impulsive control systems with impulses at fixed times and the results are used to design impulsive control for a class of nonlinear systems. The class of nonlinear systems considered is also enlarged.
引用
收藏
页码:829 / 831
页数:3
相关论文
共 14 条
[1]  
Bainov D.D., 1989, Systems with Impulse Effect
[2]   GLOBAL STABILITY OF SETS FOR IMPULSIVE DIFFERENTIAL-SYSTEMS BY LYAPUNOV DIRECT METHOD [J].
KULEV, GK ;
BAINOV, DD .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1990, 19 (02) :17-28
[3]  
Lakshmikantham V., 1993, STABILITY ANAL TERMS, DOI 10.1142/2018
[4]  
Lakshmikantham V., 1989, Series In Modern Applied Mathematics, V6
[5]   Sufficient conditions for almost sure stability of jump linear systems [J].
Li, ZG ;
Soh, YC ;
Wen, CY .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2000, 45 (07) :1325-1329
[6]   The stabilization and synchronization of Chua's oscillators via impulsive control [J].
Li, ZG ;
Wen, CY ;
Soh, YC ;
Xie, WX .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2001, 48 (11) :1351-1355
[7]   Stability of impulsive differential systems [J].
Li, ZG ;
Soh, CB ;
Xu, XH .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 216 (02) :644-653
[8]  
Li ZG, 2001, IEEE T AUTOMAT CONTR, V46, P894, DOI 10.1109/9.928590
[9]  
LI ZG, P 38 IEEE C DEC CONT, V5, P4398
[10]   Experimental results of impulsive synchronization between two Chua's circuits [J].
Panas, AI ;
Yang, T ;
Chua, LO .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1998, 8 (03) :639-644