Abstract
AbstractThe mean-square stability of stochastic Markovian jumping systems with variable delay is investigated in this paper. Based on Lyapunov-Krasovskii functional (LKF) method, new stability criteria are presented by applying generalized Finsler lemma (GFL). Convex analysis property is applied to use the information of the time-varying delay such that the worst-case enlargement for variable delay is avoided. The result is formulated in terms of a set of linear matrix inequalities (LMIs). Numerical examples are given to show the effectiveness of the approach.
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