Parameter-dependent robust stability for uncertain Markovian jump systems with time delay

被引：103
|
作者：
Li, Hongyi [1 ,2 ]
Zhou, Qi [3 ]
Chen, Bing [4 ]
Liu, Honghai [2 ]
机构：
[1] Harbin Inst Technol, Space Control & Inertial Technol Res Ctr, Harbin 150001, Peoples R China
[2] Univ Portsmouth, Intelligent Syst & Biomed Robot Grp, Portsmouth PO1 2DJ, Hants, England
[3] Nanjing Univ Sci & Technol, Sch Automat, Nanjing 210094, Peoples R China
[4] Qingdao Univ, Inst Complex Sci, Qingdao 266071, Peoples R China
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2011年 / 348卷 / 04期
关键词：
H-INFINITY-CONTROL; S FUZZY-SYSTEMS; LINEAR-SYSTEMS; STOCHASTIC STABILITY; H(INFINITY) CONTROL; VARYING DELAY; CRITERION; NETWORKS;
D O I：
10.1016/j.jfranklin.2011.02.002
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, the problem of parameter-dependent robust stability analysis is addressed for uncertain Markovian jump linear systems (MJLSs) with polytopic parameter uncertainties and time-varying delay. By constructing parameter-dependent Lyapunov functional, some sufficient conditions are developed to enable robust exponential mean square stability for the systems. New parameter-dependent robust stability criteria for MJLSs are established in the form of linear matrix inequalities (LMIs), which can be solved efficiently by the interior-point algorithm. Finally, a numerical example is given to demonstrate the effectiveness of the proposed approach. (C) 2011 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：738 / 748
页数：11
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