Journal
NONLINEAR ANALYSIS-HYBRID SYSTEMS
Volume 5, Issue 4, Pages 681-691Publisher
ELSEVIER SCI LTD
DOI: 10.1016/j.nahs.2011.06.001
Keywords
Linear matrix inequality; Uncertain stochastic systems; Lyapunov-Krasovskii functional; Markovian jumping parameters; Interval time-varying delays
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This paper is concerned with the robust stability analysis of Markovian jumping uncertain stochastic systems with interval time-varying delays. The parametric uncertainties which appear in all system matrices are assumed to be norm bounded. A new Markovian jumping matrix Pi is introduced for deriving the stability results. Based on the Lyapunov stability theory and stochastic analysis technique, new improved delay-dependent robust stability criteria are derived by considering the relationship among the time-varying delay, its upper bound and their difference without ignoring any terms. Numerical examples are given to verify the effectiveness and less conservativeness of the proposed method. (c) 2011 Elsevier Ltd. All rights reserved.
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