Delay-dependent Exponential Stability of Uncertain Stochastic Systems with Time-varying Delay and Nonlinearities

被引：0

作者：

Yan Huaicheng ^{[1
]}

Meng Max Q.-H. ^{[1
]}

Zhang Hao ^{[2
]}

Huang Xinhan ^{[3
]}

机构：

[1] Chinese Univ Hong Kong, Dept Elect Engn, Shatin, Hong Kong, Peoples R China

[2] Tongji Univ, Dept Control Sci & Engn, Shanghai 200092, Peoples R China

[3] Huazhong Univ Sci & Technol, Dept Control Sci & Engn, Wuhan 430074, Peoples R China

来源：

PROCEEDINGS OF THE 27TH CHINESE CONTROL CONFERENCE, VOL 2 | 2008年

关键词：

Delay-dependent criteria; Stochastic systems; Robust stability; LMIs; Time-varying delay;

D O I：

10.1109/CHICC.2008.4605678

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 problem of delay-dependent exponential stability in the mean square for a class of uncertain stochastic systems with time-varying delay and nonlinearities. By using Lyapunov-Krosovskii functional method combined with linear matrix inequalities (LMIs) techniques, some new delay-dependent stability criteria in terms of LMIs are derived by introducing some free weighting matrices which can be selected properly to lead to less conservative results. Maximum allowable delay bound (MADB) to guarantee the exponential stability of the systems can be obtained effectively by solving a set of LMIs. Numerical example and simulation are given to show that the proposed methods are effective and are much less conservative than some existing results.

引用

页码：136 / +

页数：2

共 18 条

[1] Stability of stochastic delay neural networks
Blythe, S
Mao, XR
Liao, XX
[J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2001, 338 (04): : 481 - 495
[2] Boy S., 1994, Linear MatrixInequalities in System and Control Theory
[3] Delay-dependent exponential stability of uncertain stochastic systems with multiple delays: an LMI approach
Chen, WH
Guan, ZH
Lu, XM
[J]. SYSTEMS & CONTROL LETTERS, 2005, 54 (06) : 547 - 555
[4] An LMI approach to stability of systems with severe time-delay
Jing, XJ
Tan, DL
Wang, YC
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2004, 49 (07) : 1192 - 1195
[5] Delay and its time-derivative dependent robust stability of time-delayed linear systems with uncertainty
Kim, JH
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2001, 46 (05) : 789 - 792
[6] On improved delay-dependent robust control for uncertain time-delay systems
Kwon, OM
Park, JH
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2004, 49 (11) : 1991 - 1995
[7] Delay-dependent robust stability and stabilization of uncertain linear delay systems: A linear matrix inequality approach
Li, X
deSouza, CE
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1997, 42 (08) : 1144 - 1148
[8] An LMI-based approach for robust stabilization of uncertain stochastic systems with time-varying delays
Lu, CY
Tsai, JSH
Jong, GJ
Su, TJ
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (02) : 286 - 289
[9] Robustness of exponential stability of stochastic differential delay equations
Mao, X
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1996, 41 (03) : 442 - 447
[10] Mao XR, 2002, IEEE T AUTOMAT CONTR, V47, P1604, DOI 10.1109/TAC.2002.804529

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