一类灰色随机分布时滞系统的均方指数鲁棒稳定性

数学季刊 ›› 2010, Vol. 25 ›› Issue (3): 451-458.

一类灰色随机分布时滞系统的均方指数鲁棒稳定性

College of Mathematics and Information Science, Xinyang Normal University

收稿日期:2008-11-26 出版日期:2010-09-30 发布日期:2023-05-29
作者简介: 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.
基金资助:
Supported by the Natural Science Foundation of Henan Province(061105440)； Supported by the Natural Science Foundation of the Education Department of Henan Province(2008A1100150)；

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)；

摘要/Abstract

摘要： 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.

关键词: stochastic systems, distributed delays, Lyapunov-Krasovskii functional, robust
stability, grey matrix

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

中图分类号:

O231.3

李景杰, 苏春华. 一类灰色随机分布时滞系统的均方指数鲁棒稳定性[J]. 数学季刊, 2010, 25(3): 451-458.

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.