离散的切换Markov线性跳变系统的稳定性分析

J4 ›› 2012, Vol. 47 ›› Issue (7): 117-120.

离散的切换Markov线性跳变系统的稳定性分析

张立艳,谢冬梅

天津大学理学院, 天津 300072

收稿日期:2011-12-20 出版日期:2012-07-20 发布日期:2012-09-01
作者简介:张立艳(1988- ),女,硕士研究生,研究方向为网络化控制系统的稳定性.Email: zhangliyan19881006@126.com
基金资助:
天津市自然科学基金资助项目(11JCYBJC06400)

Stability analysis of the discrete-time switching Markov jump linear system

ZHANG Li-yan, XIE Dong-mei

Institute of Sciences, Tianjin University, Tianjin 300072, China

Received:2011-12-20 Online:2012-07-20 Published:2012-09-01

摘要/Abstract

摘要：

运用停留时间和平均停留时间方法分析了转移概率是分段常函数的Markov跳变系统状态的二阶矩,给出了系统均方稳定的充分条件,且相关结论适用于具有双切换信号的切换系统。数值算例结果表明了理论的有效性。

关键词: Markov线性跳变系统;停留时间;平均停留时间

Abstract:

A class of discrete-time switching Markov jump system whose transitions probability is a piecewise-constant function was proposed. Dwell time method and average dwell time method were used to analyze the second-order moment of the system state. Then the sufficient conditions to guarantee system mean square stable were obtained. Moreover, the results can also be applied to the switched systems with double switching signals. The numerical result shows the validity of the theory.

Key words: Markov jump linear system; dwell time; average dwell time

张立艳,谢冬梅. 离散的切换Markov线性跳变系统的稳定性分析[J]. J4, 2012, 47(7): 117-120.

ZHANG Li-yan, XIE Dong-mei. Stability analysis of the discrete-time switching Markov jump linear system[J]. J4, 2012, 47(7): 117-120.

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