Stochastic stability and stabilization of positive systems with Markovian jump parameters

被引：114
作者：
Zhang, J. [1 ,2 ]
Han, Z. [1 ]
Zhu, F. [1 ]
机构：
[1] Shanghai Jiao Tong Univ, Sch Elect Informat & Elect Engn, Shanghai 200240, Peoples R China
[2] Hangzhou Dianzi Univ, Inst Informat & Control, Hangzhou 310018, Zhejiang, Peoples R China
来源：
NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2014年 / 12卷
关键词：
Positive systems; Markovian jump parameters; Linear programming; Stochastic linear copositive Lyapunov function; LINEAR-SYSTEMS; STABILIZABILITY;
D O I：
10.1016/j.nahs.2013.12.002
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 stochastic stability and stabilization of positive systems with Markovian jump parameters in both continuous-time and discrete-time contexts. First, stochastic stability of the underlying systems in the autonomous case is discussed. Then, stochastic stabilization of non-autonomous systems is addressed, and mode-dependent state-feedback controllers are designed. All the proposed conditions are solvable in terms of linear programming with additional parameters. Finally, numerical examples are given to show the effectiveness of the present design. (C) 2013 Elsevier Ltd. All rights reserved.
引用
收藏
页码：147 / 155
页数：9
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