Stability of Markovian jump systems with generally uncertain transition rates

被引：115

作者：

Guo, Yafeng ^{[1
]}

Wang, Zhongjie ^{[1
]}

机构：

[1] Tongji Univ, Dept Control Sci & Engn, Shanghai 201804, Peoples R China

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2013年 / 350卷 / 09期

基金：

高等学校博士学科点专项科研基金; 中国国家自然科学基金;

关键词：

H-INFINITY-CONTROL; LINEAR-SYSTEMS; STABILIZATION;

D O I：

10.1016/j.jfranklin.2013.06.013

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 is concerned with exploring stability analysis for a class of Markovian jump systems (MJSs) with generally uncertain transition rates (GUTRs). In the GUTR model, each transition rate can be completely unknown or only its estimate value is known. This new uncertain model is more general than the existing ones and can be applicable to more practical situations. The stability criterion for such a class of uncertain MJSs is derived in terms of linear matrix inequalities (LMIs). Finally, a numerical example is given to illustrate the effectiveness and applicability of the proposed method. (C) 2013 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：2826 / 2836

页数：11

共 24 条

[1]

Boukas E.-K., 2007, Stochastic switching systems: analysis and design

[2] On stabilization of uncertain linear systems with jump parameters [J].

Boukas, EK ;

Shi, P ;

Benjelloun, K .

INTERNATIONAL JOURNAL OF CONTROL, 1999, 72 (09) :842-850

[3] Guaranteed Cost for Stochastic Systems with Unknown Transitions Jump Rates [J].

Boukas, El-Kebir .

2009 AMERICAN CONTROL CONFERENCE, VOLS 1-9, 2009, :4422-4427

[4] Mode-independent H∞ filters for Markovian jump linear systems [J].

de Souza, Carlos E. ;

Trofino, Alexandre ;

Barbosa, Karina A. .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2006, 51 (11) :1837-1841

[5] New Results on Stability and Stabilization of Markovian Jump Systems with Partly Known Transition Probabilities [J].

Guo, Yafeng ;

Zhu, Fanglai .

MATHEMATICAL PROBLEMS IN ENGINEERING, 2012, 2012

[6] CONTROLLABILITY, STABILIZABILITY, AND CONTINUOUS-TIME MARKOVIAN JUMP LINEAR QUADRATIC CONTROL [J].

JI, YD ;

CHIZECK, HJ .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1990, 35 (07) :777-788

[7] Delay-dependent robust exponential stability of Markovian jumping reaction-diffusion Cohen-Grossberg neural networks with mixed delays [J].

Kao, Yong-Gui ;

Guo, Ji-Feng ;

Wang, Chang-Hong ;

Sun, Xi-Qian .

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2012, 349 (06) :1972-1988

[8] Stability in mean of partial variables for stochastic reaction-diffusion systems with Markovian switching [J].

Kao, Yonggui ;

Wang, Changhong ;

Zha, Fusheng ;

Cao, Hongxia .

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2014, 351 (01) :500-512

[9] 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

[10] Fault-Tolerant Control for Nonlinear Markovian Jump Systems via Proportional and Derivative Sliding Mode Observer Technique [J].

Liu, Ming ;

Shi, Peng ;

Zhang, Lixian ;

Zhao, Xudong .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2011, 58 (11) :2755-2764

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