Robust Stability Criteria for Markovian Jump Singular Systems with Time-Varying Delays

被引:5
作者
Haidar, A. [1 ]
Boukas, E. K. [1 ]
机构
[1] Ecole Polytech, Dept Mech Engn, Stn Ctr Ville, Montreal, PQ H3C 3A7, Canada
来源
47TH IEEE CONFERENCE ON DECISION AND CONTROL, 2008 (CDC 2008) | 2008年
关键词
Singular time-delay systems; Markovian jump systems; Delay-dependent; Stability; Linear matrix inequality;
D O I
10.1109/CDC.2008.4739050
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 deals with the class of continuous-time Markovian jump singular systems with time-varying delay. The stability problem of this class of systems is addressed and delay-dependent sufficient conditions such that the system is regular, impulse free and asymptotically mean square stable are developed in the linear matrix inequality (LMI) setting. A numerical example is employed to show the usefulness of the proposed results.
引用
收藏
页码:4657 / 4662
页数:6
相关论文
共 12 条
[1]  
Boukas E. K., 2005, IFAC
[2]  
Boukas E. K., 2005, Stochastic Hybrid Systems: Analysis and Design
[3]  
Boukas E. K., 2005, P IEEE INT C MECH AU
[4]   On stability and stabilizability of singular stochastic systems with delays [J].
Boukas, EK ;
Xu, S ;
Lam, J .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2005, 127 (02) :249-262
[5]  
Boukas EK, 2008, COMMUN CONTROL ENG, P3
[6]   Stability of linear descriptor systems with delay: a Lyapunov-based approach [J].
Fridman, E .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 273 (01) :24-44
[7]  
Haidar A., 2008, THESIS ECOLE POLYTEC
[8]   Further improvement of free-weighting matrices technique for systems with time-varying delay [J].
He, Yong ;
Wang, Qing-Guo ;
Xie, Lihua ;
Lin, Chong .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2007, 52 (02) :293-299
[9]   A SURVEY OF LINEAR SINGULAR SYSTEMS [J].
LEWIS, FL .
CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 1986, 5 (01) :3-36
[10]  
RAOUF J, 2007, AM CONTR C NEW YORK, P2442