Exponential stability for positive Markovian jump systems with switching transition rates subject to average dwell time approach

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• 英文论文题名：Exponential stability for positive Markovian jump systems with switching transition rates subject to average dwell time approach
• 论文作者：Wenhai Qi ; Guangdeng Zong
• 英文论文作者：Wenhai Qi ; Guangdeng Zong ; Department of Automation ; Qufu Normal University
• 年：2017
• 作者机构：Department of Automation,Qufu Normal University;
• 英文论文关键词：positive Markovian jump systems ; average dwell time ; exponential stability ; linear programming
• 会议召开时间：2017-07-26
• 会议录名称：第36届中国控制会议论文集（B）
• 英文会议录名称：Proceedings of the 36th Chinese Control Conference（B）
• 语种：英文
• 分类号：O211.62
• 学会代码：KZLL
• 会议名称：第36届中国控制会议
• 会议地点：中国辽宁大连
• 主办单位：中国自动化学会控制理论专业委员会
• 学会名称：中国自动化学会控制理论专业委员会
• 页数：4
• 文件大小：286k
• 原文格式：D
• 会议级别：全国

摘要

The paper deals with the problem of exponential stability for positive Markovian jump systems with switching transition rates subject to average dwell time approach. Another set of useful regime-switching models has been given for an extension of fixed transition rate to combine time-varying transition rates. By resorting to the multiple linear co-positive Lyapunov function and average dwell time, sufficient conditions for exponential stability of the underlying system are proposed in linear programming. Finally, a numerical example is given to demonstrate the validity of the main results.
The paper deals with the problem of exponential stability for positive Markovian jump systems with switching transition rates subject to average dwell time approach. Another set of useful regime-switching models has been given for an extension of fixed transition rate to combine time-varying transition rates. By resorting to the multiple linear co-positive Lyapunov function and average dwell time, sufficient conditions for exponential stability of the underlying system are proposed in linear programming. Finally, a numerical example is given to demonstrate the validity of the main results.

引文

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