Status | 已发表Published |
Title | Delay-dependent robust stability and H∞ analysis of stochastic systems with time-varying delay |
Creator | |
Date Issued | 2010 |
Source Publication | Applied Mathematics and Mechanics (English Edition)
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ISSN | 0253-4827 |
Volume | 31Issue:2Pages:255-262 |
Abstract | This paper investigates the robust stochastic stability and H∞ analysis for stochastic systems with time-varying delay and Markovian jump. By using the freeweighting matrix technique, i.e., He's technique, and a stochastic Lyapunov-Krasovskii functional, new delay-dependent criteria in terms of linear matrix inequalities are derived for the the robust stochastic stability and the H∞ disturbance attenuation. Three numerical examples are given. The results show that the proposed method is efficient and much less conservative than the existing results in the literature. © Shanghai University and Springer-Verlag Berlin Heidelberg 2010. |
Keyword | H∞ control Linear matrix inequality Markovian jump systems Stochastic stability Time-varying delay systems |
DOI | 10.1007/s10483-010-0213-6 |
URL | View source |
Indexed By | SCIE |
Language | 英语English |
WOS Research Area | Mathematics ; Mechanics |
WOS Subject | Mathematics, Applied ; Mechanics |
WOS ID | WOS:000274626800013 |
Citation statistics | |
Document Type | Journal article |
Identifier | http://repository.uic.edu.cn/handle/39GCC9TT/3795 |
Collection | Research outside affiliated institution |
Affiliation | 1.Department of Mathematics, Tongji University, Shanghai 200092, China 2.Department of Electrical and Computer Engineering, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260, Singapore |
Recommended Citation GB/T 7714 | Sun, Jitao,Wang, Qingguo,Gao, Hanqiao. Delay-dependent robust stability and H∞ analysis of stochastic systems with time-varying delay[J]. Applied Mathematics and Mechanics (English Edition), 2010, 31(2): 255-262. |
APA | Sun, Jitao, Wang, Qingguo, & Gao, Hanqiao. (2010). Delay-dependent robust stability and H∞ analysis of stochastic systems with time-varying delay. Applied Mathematics and Mechanics (English Edition), 31(2), 255-262. |
MLA | Sun, Jitao,et al."Delay-dependent robust stability and H∞ analysis of stochastic systems with time-varying delay". Applied Mathematics and Mechanics (English Edition) 31.2(2010): 255-262. |
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