Stability of Markovian jump systems with generally uncertain transition rates

被引：113
|
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：
中国国家自然科学基金; 高等学校博士学科点专项科研基金;
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
收藏
页码：2826 / 2836
页数：11
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