Mean Stability of Positive Markov Jump Linear Systems With Homogeneous and Switching Transition Probabilities

被引：89
作者：
Lian, Jie [1 ]
Liu, Jiao [1 ]
Zhuang, Yan [1 ]
机构：
[1] Dalian Univ Technol, Fac Elect Informat & Elect Engn, Dalian 116024, Peoples R China
来源：
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS | 2015年 / 62卷 / 08期
基金：
中国国家自然科学基金;
关键词：
Copositive Lyapunov function; homogeneous and switching transition probabilities (TPs); mean stability; positive Markov jump linear systems (PMJLSs); time-dependent switching; STABILIZATION; DESIGN;
D O I：
10.1109/TCSII.2015.2433371
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
This brief investigates the mean stability problem of positive Markov jump linear systems (PMJLSs) in the discrete-time domain. First, some sufficient and necessary conditions are presented for PMJLSs with homogeneous transition probability (TP) by analyzing the time evolution of the first-order moment of the state. Then, by using a copositive Lyapunov function approach, a computable sufficient condition for the PMJLSs with switching TPs is proposed in the framework of dwell time to guarantee the mean stability. Finally, some numerical examples are given to demonstrate the effectiveness of the obtained theoretical results.
引用
收藏
页码：801 / 805
页数：5
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