标题:Stochastic finite-time boundedness analysis and control for discrete-time positive Markov jump linear systems
作者:Wang, Bo ;Zhu, Shuqian ;Xu, You ;Ma, Lang
作者机构:[Wang, Bo ;Zhu, Shuqian ;Xu, You ;Ma, Lang ] School of Mathematics, Shandong University, Jinan; 250100, China
会议名称:28th Chinese Control and Decision Conference, CCDC 2016
会议日期:28 May 2016 through 30 May 2016
来源:Proceedings of the 28th Chinese Control and Decision Conference, CCDC 2016
出版年:2016
页码:1824-1829
DOI:10.1109/CCDC.2016.7531278
关键词:Controller design; Linear programming; Markov jump linear system; Positive system; Stochastic finite-time boundedness
摘要:This paper is concerned with stochastic finite-time boundedness analysis and stochastic finite-time state-feedback controller design for discrete-time positive Markov jump linear systems. First, the stochastic finite-time bound-edness of the positive Markov jump linear system is proved to be equivalent to the finite-time boundedness of a relevant deterministic positive linear system. Then a sufficient condition in the form of linear programming of the stochastic finite-time boundedness is presented based on the obtained finite-time boundedness criterion of the deterministic positive linear system. Finally, by solving a linear programming problem, the mode-dependent state-feedback controller is designed to guarantee that the closed-loop system is positive and stochastically finite-time bounded. A numerical example is employed to illustrate the effectiveness of the proposed design method. © 2016 IEEE.
收录类别:EI;SCOPUS
Scopus被引频次:1
资源类型:会议论文;期刊论文
原文链接:https://www.scopus.com/inward/record.uri?eid=2-s2.0-84983786097&doi=10.1109%2fCCDC.2016.7531278&partnerID=40&md5=6d8c8768306b7ccf65603c081960e2c5
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