Stabilization for Markovian jump systems with partial information on transition probability based on free-connection weighting matrices

被引：279
作者：
Zhang, Yan [1 ]
He, Yong [1 ]
Wu, Min [1 ]
Zhang, Jie [1 ]
机构：
[1] Cent S Univ, Sch Informat Sci & Engn, Changsha 410083, Peoples R China
来源：
AUTOMATICA | 2011年 / 47卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Markovian jump systems; Transition rate; Free-connection weighting matrix method; Linear matrix inequalities; H-INFINITY CONTROL; NEURAL-NETWORKS; STABILITY; DESIGN;
D O I：
10.1016/j.automatica.2010.09.009
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 focuses on stability and stabilization for a class of continuous-time Markovian jump systems with partial information on transition probability. The free-connection weighting matrix method is proposed to obtain a less conservative stability criterion of Markovian jump systems with partly unknown transition probability or completely unknown transition probability. As a result, a sufficient condition for the state feedback controller design is derived in terms of linear matrix inequalities. Finally, numerical examples are given to illustrate the effectiveness and the merits of the proposed method. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码：79 / 84
页数：6
相关论文
共 20 条
[1]  
Boukas E.-K., 2007, Stochastic switching systems: analysis and design
[2]   Delay-dependent output feedback stabilisation of Markovian jump system with time-delay [J].
Chen, WH ;
Guan, ZH ;
Lu, X .
IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 2004, 151 (05) :561-566
[3]  
Kushner H. J., 1967, Stochastic stability and control
[4]   Robust Stability for Uncertain Delayed Fuzzy Hopfield Neural Networks With Markovian Jumping Parameters [J].
Li, Hongyi ;
Chen, Bing ;
Zhou, Qi ;
Qian, Weiyi .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2009, 39 (01) :94-102
[5]   Stochastic exponential stability for Markovian jumping BAM neural networks with time-varying delays [J].
Lou, Xuyang ;
Cui, Baotong .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2007, 37 (03) :713-719
[6]   Delay-dependent H∞ filtering of a class of switched discrete-time state delay systems [J].
Mahmoud, Magdi S. .
SIGNAL PROCESSING, 2008, 88 (11) :2709-2719
[7]   H∞ fault detection filter design for networked control systems modelled by discrete Markovian jump systems [J].
Mao, Z. ;
Jiang, B. ;
Shi, P. .
IET CONTROL THEORY AND APPLICATIONS, 2007, 1 (05) :1336-1343
[8]   Optimality of a two-threshold feedback control for a manufacturing system with a production dependent failure rate [J].
Martinelli, Francesco .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2007, 52 (10) :1937-1942
[9]   Robust filtering for jumping systems with mode-dependent delays [J].
Shi, P ;
Mahmoud, M ;
Nguang, SK ;
Ismail, A .
SIGNAL PROCESSING, 2006, 86 (01) :140-152
[10]   Robust stabilization of Markovian delay systems with delay-dependent exponential estimates [J].
Shu, Zhan ;
Lam, James ;
Xu, Shengyuan .
AUTOMATICA, 2006, 42 (11) :2001-2008
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