Stability analysis of Discrete-time Switched systems with Time-varying Delays

被引：0
作者：
Wang, Na [1 ]
Huang, Qing-zhen [1 ]
机构：
[1] Southwest Univ Nationalities China, Coll Elect & Informat Engn, Chengdu 610041, Sichuan, Peoples R China
来源：
2014 33RD CHINESE CONTROL CONFERENCE (CCC) | 2014年
关键词：
Switched linear system; discrete-time system; delays; exponential stability; ADAPTIVE-CONTROL; LINEAR-SYSTEMS; STABILIZATION; DESIGN;
D O I：
暂无
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 addresses the exponential stability problem for discrete-time switched systems with time-varying delay. The average dwell time (ADT) property is used to prove the exponential stability in this paper. A condition to check the exponential stability of discrete-time switched systems is proposed. Finally, an example is provided to show the effectiveness of the proposed results.
引用
收藏
页码：3988 / 3993
页数：6
相关论文
共 28 条
[1]   Multiple model adaptive control with safe switching [J].
Anderson, BDO ;
Brinsmead, T ;
Liberzon, D ;
Morse, AS .
INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING, 2001, 15 (05) :445-470
[2]   Multiple Lyapunov functions and other analysis tools for switched and hybrid systems [J].
Branicky, MS .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (04) :475-482
[3]  
Cai M., 2012, 2012 13 INT THERM ME
[4]   Delay-dependent robust H∞ control of uncertain linear state-delayed systems [J].
de Souza, CE ;
Li, X .
AUTOMATICA, 1999, 35 (07) :1313-1321
[5]   Perspectives and results on the stability and stabilizability of hybrid systems [J].
DeCarlo, RA ;
Branicky, MS ;
Pettersson, S ;
Lennartson, B .
PROCEEDINGS OF THE IEEE, 2000, 88 (07) :1069-1082
[6]   Delay-dependent output-feedback stabilisation of discrete-time systems with time-varying state delay [J].
Gao, H ;
Lam, J ;
Wang, C ;
Wang, Y .
IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 2004, 151 (06) :691-698
[7]   H∞ and Dwell Time Specifications of Continuous-Time Switched Linear Systems [J].
Geromel, Jose C. ;
Colaneri, Patrizio .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2010, 55 (01) :207-212
[8]   Delay-range-dependent stability for systems with time-varying delay [J].
He, Yong ;
Wang, Qing-Guo ;
Lin, Chong ;
Wu, Min .
AUTOMATICA, 2007, 43 (02) :371-376
[9]  
Hespanha J. P., 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304), P2655, DOI 10.1109/CDC.1999.831330
[10]   Overcoming the limitations of adaptive control by means of logic-based switching [J].
Hespanha, JP ;
Liberzon, D ;
Morse, AS .
SYSTEMS & CONTROL LETTERS, 2003, 49 (01) :49-65
123