马尔可夫跳变时滞系统的无源性分析  

Passivity analysis for Markovian jump systems with time-varying delays

作　　者：李敏[1] 黄勤珍[1] 

机构地区：[1]西南民族大学电气信息工程学院,四川成都610041

出　　处：《西南民族大学学报（自然科学版）》2018年第1期97-103,共7页Journal of Southwest Minzu University(Natural Science Edition)

基　　金：国家自然科学基金(61673016);四川省教育厅创新团队(15TD0050)

摘　　要：马尔可夫跳变系统作为一种特殊的随机混杂系统,在更好的描述系统结构突然改变的物理系统方面具有优势.因此,在实际应用中,对马尔可夫跳跃系统的研究是一个热门话题.研究了马尔可夫跳变时滞系统的无源性问题.通过构造Lyapunov-Krasovskii泛函,导出这类系统满足随机无源性约束的充分条件.最后,给出一个数值例子来验证本文提出理论结果的有效性.Markovian jump systems,as a special kind of stochastic hybrid systems,have the advantages for better representing physical systems with the abrupt changes of their structures. So, the research of Markovian jump system is a hot topic in practical applications. This paper studies the problem of passivity analysis for Markovian jump systems with time-varying delays. By constructing a Lyapunov-Krasovskii functional, sufficient criteria of stochastic passivity for Markovian jump systems are derived. Finally, a numerical example is given to verify the effectiveness of the proposed results.

关 键 词：无源性 马尔可夫跳变系统 LYAPUNOV泛函 时滞 

分 类 号：O231[理学—运筹学与控制论] TP13[理学—数学]