Delay-dependent stability of two-dimensional Markovian jump systems in the Roesser model with interval time-varying delays

被引：0
作者：
Zhang, Jing [1 ]
Peng, Dan [1 ]
Hua, Changchun [2 ]
机构：
[1] Yanshan Univ, Coll Sci, Qinhuangdao 066004, Peoples R China
[2] Yanshan Univ, Inst Elect Engn, Qinhuangdao 066004, Peoples R China
来源：
PROCEEDINGS OF THE 36TH CHINESE CONTROL CONFERENCE (CCC 2017) | 2017年
基金：
中国国家自然科学基金;
关键词：
Two-dimensional Markovian jump systems (2D M[!text type='JS']JS[!/text]s); Roesser model; New finite-sum inequalities; Interval time-varying delays; Stochastic stability; STABILIZATION; DESIGN;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper is concerned with the problem of stochastic stability analysis of discrete-time two-dimensional Markovian jump systems (2D MJSs) described by the Roesser model. The systems under consideration are subject to interval time-varying and full known transition probabilities of the jumping process/Markov chain. First, new finite-sum inequalities are proposed in this paper. Then giving the Lyapunov-Krasovskii functional (LKF) with time-delay and differencing it via new finite-sum inequalities, delay-dependent stochastic stability conditions are derived in terms of linear matrix inequalities (LMIs). Finally, a numerical example is given to illustrate the effectiveness of the proposed methods.
引用
收藏
页码：170 / 175
页数：6
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