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2014 Stability Criteria for Singular Stochastic Hybrid Systems with Mode-Dependent Time-Varying Delay
Ming Zhao, Yueying Wang, Pingfang Zhou, Dengping Duan
Abstr. Appl. Anal. 2014: 1-9 (2014). DOI: 10.1155/2014/409819

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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Ming Zhao. Yueying Wang. Pingfang Zhou. Dengping Duan. "Stability Criteria for Singular Stochastic Hybrid Systems with Mode-Dependent Time-Varying Delay." Abstr. Appl. Anal. 2014 1 - 9, 2014. https://doi.org/10.1155/2014/409819

Information

Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07022339
MathSciNet: MR3191041
Digital Object Identifier: 10.1155/2014/409819

Rights: Copyright © 2014 Hindawi

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