stability criteria for singular stochastic hybrid systems with mode-dependent time-varying delay

stability criteria for singular stochastic hybrid systems with mode-dependent time-varying delay

;Ming Zhao;Yueying Wang;Pingfang Zhou;Dengping Duan
science and technology of advanced materials 2014 Vol. 2014 pp. -
117
zhao2014abstractstability

Abstract

This paper provides a delay-dependent criterion for a class of singular stochastic hybrid systems with mode-dependent time-varying delay. In order to reduce conservatism, a new Lyapunov-Krasovskii functional is constructed by decomposing the delay interval into multiple subintervals. Based on the new functional, a stability criterion is derived in terms of strict linear matrix inequality (LMI), which guarantees that the considered system is regular, impulse-free, and mean-square exponentially stable. Numerical examples are presented to illustrate the effectiveness of proposed method.

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172720
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10.1155/2014/409819
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