Mean-square Exponential Robust Stability for a Class of Grey Stochastic Systems with Distributed Delays

Chinese Quarterly Journal of Mathematics ›› 2010, Vol. 25 ›› Issue (3): 451-458.

Mean-square Exponential Robust Stability for a Class of Grey Stochastic Systems with Distributed Delays

College of Mathematics and Information Science, Xinyang Normal University

Received:2008-11-26 Online:2010-09-30 Published:2023-05-29
About author: LI Jing-jie(1959- ), male, native of Suiping, Henan, an associate professor of Xinyang Normal College, engages in robust stability for a class of grey stochastic systems with distributed delays.
Supported by:
Supported by the Natural Science Foundation of Henan Province(061105440)； Supported by the Natural Science Foundation of the Education Department of Henan Province(2008A1100150)；

Abstract

Abstract: Two easily verified delay-dependent criteria of mean-square exponential robust stability are obtained by constructing Lyapunov-Krasovskii functional and employing the decomposition technique of the continuous matrix-discovered set of grey matrix and Ito formula. A numerical example shows the validity and practicality of the criteria presented in this paper.

Key words: stochastic systems, distributed delays, Lyapunov-Krasovskii functional, robust
stability, grey matrix

CLC Number:

O231.3

LI Jing-jie, SU Chun-hua. Mean-square Exponential Robust Stability for a Class of Grey Stochastic Systems with Distributed Delays[J]. Chinese Quarterly Journal of Mathematics, 2010, 25(3): 451-458.

Mean-square Exponential Robust Stability for a Class of Grey Stochastic Systems with Distributed Delays

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