Delay-Dependent Criteria for Robust Stabilization of Markovian Switching Networks with Time-Varying Delay

被引：3

作者：

Sathananthan, S. ^{[1
]}

Beane, C. ^{[1
]}

Keel, L. H. ^{[1
]}

机构：

[1] Tennessee State Univ, CSSR, Nashville, TN 37209 USA

来源：

STOCHASTIC ANALYSIS AND APPLICATIONS | 2009年 / 27卷 / 04期

关键词：

Markov chain; Markovian switching systems; Stochastic stability; Time-varying systems; EXPONENTIAL STABILITY; NONLINEAR-SYSTEMS; LINEAR-SYSTEMS; EQUATIONS;

D O I：

10.1080/07362990902976249

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A problem of feedback stabilization of hybrid systems with time-varying delay and Markovian switching is considered. Delay-dependent sufficient conditions for stability based on linear matrix inequalities (LMI's) for stochastic asymptotic stability is obtained. The stability result depended on the mode of the system and of delay-dependent. The robustness results of such stability concept against all admissible uncertainties are also investigated. This new delay-dependent stability criteria is less conservative than the existing delay-independent stability conditions. An example is given to demonstrate the obtained results.

引用

页码：694 / 712

页数：19

共 50 条

[41] Delay-dependent robust H∞ filter design for uncertain neutral stochastic system with time-varying delay [J].

Chen, Huabin .

IET SIGNAL PROCESSING, 2013, 7 (05) :368-381

[42] Delay-dependent stability for neutral-type neural networks with time-varying delays and Markovian jumping parameters [J].

Chen, Weimin ;

Wang, Lanning .

NEUROCOMPUTING, 2013, 120 :569-576

[43] New Delay-dependent Analysis for Global of Asymptotically Robust Stability of Cellular Neural Networks with Time-varying Delay [J].

Du Wenxia ;

Wu Xueli ;

Wu Xiaojing .

PROCEEDINGS OF THE 29TH CHINESE CONTROL CONFERENCE, 2010, :2407-2412

[44] Delay-dependent stochastic stability criteria for Markovian jumping neural networks with mode-dependent time-varying delays and partially known transition rates [J].

Tian, Junkang ;

Li, Yongming ;

Zhao, Jinzhou ;

Zhong, Shouming .

APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (09) :5769-5781

[45] Delay-dependent Exponential Stability of Neutral Neural Networks with Interval Time-Varying Delay [J].

Liu, Yajuan ;

Lee, S. M. ;

Park, Ju H. .

2015 27TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2015, :722-725

[46] New delay-dependent criterion for the stability of recurrent neural networks with time-varying delay [J].

Zhang HuaGuang ;

Wang ZhanShan .

SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES, 2009, 52 (06) :942-948

[47] Delay-dependent stability analysis for discrete-time singular Markovian jump systems with time-varying delay [J].

Wu, Zheng-Guang ;

Shi, Peng ;

Su, Hongye ;

Chu, Jian .

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2012, 43 (11) :2095-2106

[48] Delay-dependent exponential stability for uncertain neutral stochastic neural networks with interval time-varying delay [J].

Chen, Huabin ;

Zhao, Yang .

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2015, 46 (14) :2584-2597

[49] A delay decomposition approach to delay-dependent passivity analysis for interval neural networks with time-varying delay [J].

Balasubramaniam, P. ;

Nagamani, G. .

NEUROCOMPUTING, 2011, 74 (10) :1646-1653

[50] Novel delay-dependent robust stability criteria for neutral systems with mixed time-varying delays and nonlinear perturbations [J].

Cheng, Jun ;

Zhu, Hong ;

Zhong, Shouming ;

Li, Guihua .

APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (14) :7741-7753

← 1 2 3 4 5 →