Please use this identifier to cite or link to this item: https://doi.org/10.1007/s10483-010-0213-6
Title: Delay-dependent robust stability and H∞ analysis of stochastic systems with time-varying delay
Authors: Sun, J.-T.
Wang, Q.-G. 
Gao, H.-Q.
Keywords: H∞ control
Linear matrix inequality
Markovian jump systems
Stochastic stability
Time-varying delay systems
Issue Date: Feb-2010
Source: Sun, J.-T., Wang, Q.-G., Gao, H.-Q. (2010-02). Delay-dependent robust stability and H∞ analysis of stochastic systems with time-varying delay. Applied Mathematics and Mechanics (English Edition) 31 (2) : 255-262. ScholarBank@NUS Repository. https://doi.org/10.1007/s10483-010-0213-6
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.
Source Title: Applied Mathematics and Mechanics (English Edition)
URI: http://scholarbank.nus.edu.sg/handle/10635/55516
ISSN: 02534827
DOI: 10.1007/s10483-010-0213-6
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