Passivity analysis and passification of uncertain Markovian jump systems with partially known transition rates and mode-dependent interval time-varying delays

被引：14
|
作者：
Luo, Mengzhuo [1 ]
Zhong, Shouming [1 ,2 ]
机构：
[1] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China
[2] Univ Elect Sci & Technol China, Key Lab Neuroinformat, Minist Educ, Chengdu 611731, Sichuan, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2012年 / 63卷 / 07期
关键词：
Passivity and passification; Markovian jump systems; Partially known transition rates; Time-varying delay; Linear matrix inequality; H-INFINITY CONTROL; NEURAL-NETWORKS; LINEAR-SYSTEMS; STABILITY; STATE;
D O I：
10.1016/j.camwa.2011.12.070
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the problem of delay-dependent robust passivity analysis and robust passification of uncertain Markovian jump linear systems (MJLSs) with partially known transition rates and mode-dependent time-varying delays are investigated. In the deterministic model, the time-varying delay is in a given range and the uncertainties are assumed to be norm bounded. By constructing an appropriate Lyapunov-Krapunov functional (LKF) combining with Jensen's inequality and the free-weighting matrix method, delay-dependent passification conditions are obtained in term of linear matrix inequalities(LMIs). For the robust passification problem, desired passification controllers are designed, which guarantee that the closed-loop MJLS is passive. Finally, a numerical example is given to illustrate the effectiveness of the proposed approach. (C) 2011 Elsevier Ltd. All rights reserved.
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页码：1266 / 1278
页数：13
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