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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. 人工智能
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
Stochastic Stability and Stabilization for Positive Markov Jump Systems with Distributed Time Delay and Incomplete Known Transition Rates
点击次数：
论文类型：会议论文
发表时间：2015-05-23
收录刊物：EI、CPCI-S、Scopus
页面范围：2389-2394
关键字：Positive Markov jump systems; Stochastic stability; Distributed time delay; Incomplete known transition rates
摘要：This paper studies the problem of stochastic stability and stabilization for positive Markov jump systems with distributed time delay and incomplete known transition rates. By using delay partitioning technique, a new form of Lyapunov functional is constructed and a stochastic stability criterion is formulated for positive Markov jump systems with fully known transition rates. Based on this, the case of incomplete known transition rates is discussed. Then a state feedback controller is designed to guarantee the corresponding closed-loop system positive and stochastically stable. The results in this paper are expressed in the form of linear programming problems, and can be easily solved by standard software.