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Status已发表Published
TitleDelay-dependent robust stability and H∞ analysis of stochastic systems with time-varying delay
Creator
Date Issued2010
Source PublicationApplied Mathematics and Mechanics (English Edition)
ISSN0253-4827
Volume31Issue: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.

KeywordH∞ control Linear matrix inequality Markovian jump systems Stochastic stability Time-varying delay systems
DOI10.1007/s10483-010-0213-6
URLView source
Indexed BySCIE
Language英语English
WOS Research AreaMathematics ; Mechanics
WOS SubjectMathematics, Applied ; Mechanics
WOS IDWOS:000274626800013
Citation statistics
Cited Times:9[WOS]   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
Identifierhttp://repository.uic.edu.cn/handle/39GCC9TT/3795
CollectionResearch 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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