Journal of Systems Engineering and Electronics ›› 2009, Vol. 31 ›› Issue (9): 2200-2207.

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Exponential stability for stochastic Markovian jump systems through time fractioning approach

ZHAO Xu-dong, LING Ming-xiang, ZENG Qing-shuang   

  1. Space Control and Inertial Technology Inst., Harbin Inst. of Technology, Harbin 150001, China
  • Received:2008-09-10 Revised:2008-10-14 Online:2009-09-20 Published:2010-01-03

Abstract: The delay-range-dependent exponential stability problems for Itô stochastic Markovian jump linear systems with interval time-varying delays satisfying h1d(t)h2 are investigated.In terms of linear matrix inequalities,a less conservative delay-range-dependent stability condition for Markovian jump systems is proposed by constructing a novel Lyapunov-Krasovskii functional with the idea of partitioning the time delay and introducing new integral-equality approaches.Numerical examples are provided to demonstrate the effectiveness and less conservativeness of the results.

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