Stability and Stabilization for Discrete-time Markovian Jump Fuzzy Systems with Time-varying Delays: Partially Known Transition Probabilities Case

被引：37

作者：

Song, Min Kook ^{[1
]}

Park, Jin Bae ^{[1
]}

Joo, Young Hoon ^{[2
]}

机构：

[1] Yonsei Univ, Dept Elect & Elect Engn, Seoul 120749, South Korea

[2] Kunsan Natl Univ, Dept Control & Robot Engn, Kunsan 573701, Chonbuk, South Korea

来源：

INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS | 2013年 / 11卷 / 01期

关键词：

Linear matrix inequality (LMI); Markovian jump fuzzy systems; probability transition matrix; time varying delays; NONLINEAR-SYSTEMS; ROBUST STABILIZATION;

D O I：

10.1007/s12555-011-9112-y

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 the stability analysis and the stabilization problem for a discrete-time Markovian jump fuzzy systems (MJFSs) with time-varying delays and partially known transition probabilities. These systems are made more general, by relaxing the traditional assumption in MJFSs that all the transition probabilities must be completely known. The class of MJFSs considered is described by a fuzzy model composed of two levels: a crisp level that represents the jumps and a fuzzy level that represents the system nonlinearities. Based on a stochastic Lyapunov function, stability and stabilization conditions for the MJFSs with time-varying delays are derived in both the case of completely known transition probabilities and the case of partially known transition probabilities. The derived conditions are represented in terms of linear matrix inequalities (LMIs). Finally, a numerical example is used to illustrate the effectiveness of the proposed theorem.

引用

页码：136 / 146

页数：11

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