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个人信息Personal Information
教授
博士生导师
硕士生导师
主要任职：Vice Dean of School of Control Science and Engineering
性别：男
毕业院校：大连理工大学
学位：博士
所在单位：控制科学与工程学院
学科：模式识别与智能系统. 控制理论与控制工程. 导航、制导与控制
办公地点：大连理工大学 创新园大厦 A611室
联系方式：办公电话：0411-84707581
电子邮箱：zhuang@dlut.edu.cn
Mean Stability of Positive Markov Jump Linear Systems With Homogeneous and Switching Transition Probabilities
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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.