Robust stability of uncertain stochastic systems with time delays

被引:0
作者
Wang, F [1 ]
机构
[1] Wuhan Univ Sci & Technol, Coll Sci, Wuhan 430081, Peoples R China
来源
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS | 2006年 / 13卷
关键词
robust stability; stochastic; uncertain; time delay; linear matrix inequality (LMI);
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper is concerned with the robust control of uncertain stochastic systems with time delays. Using 0 differential formula and Lyapunov functions, we establish sufficient condition of robust stability of uncertain stochastic systems with time delays. The delay-independent sufficient condition is derived in terms of linear matrix inequality (LMI).
引用
收藏
页码:906 / 913
页数:8
相关论文
共 8 条
[1]   A descriptor system approach to H∞ control of linear time-delay systems [J].
Fridman, E ;
Shaked, U .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (02) :253-270
[2]   ROBUST STABILIZATION OF UNCERTAIN LINEAR-SYSTEMS - QUADRATIC STABILIZABILITY AND H INFINITY-CONTROL THEORY [J].
KHARGONEKAR, PP ;
PETERSEN, IR ;
ZHOU, KM .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1990, 35 (03) :356-361
[3]   Robustness of exponential stability of stochastic differential delay equations [J].
Mao, X .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1996, 41 (03) :442-447
[4]   Delay-dependent robust stabilization of uncertain state-delayed systems [J].
Moon, YS ;
Park, P ;
Kwon, WH ;
Lee, YS .
INTERNATIONAL JOURNAL OF CONTROL, 2001, 74 (14) :1447-1455
[5]   Stochastic analysis and control of real-time systems with random time delays [J].
Nilsson, J ;
Bernhardsson, B ;
Wittenmark, B .
AUTOMATICA, 1998, 34 (01) :57-64
[6]   A delay-dependent stability criterion for systems with uncertain time-invariant delays [J].
Park, PG .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1999, 44 (04) :876-877
[7]  
Xie L., 2001, CONTROL DECISION, V16, P779
[8]  
[张维海 Zhang Weihai], 2004, [工程数学学报, Chinese Journal of Engineering Mathematics], V21, P592