点击次数：

论文类型：期刊论文

发表时间：2015-08-01

发表刊物：IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS

收录刊物：SCIE、EI、Scopus

卷号：62

期号：8

页面范围：801-805

ISSN号：1549-7747

关键字：Copositive Lyapunov function; homogeneous and switching transition probabilities (TPs); mean stability; positive Markov jump linear systems (PMJLSs); time-dependent switching

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.