On Hybrid Impulsive and Switching Stochastic Systems

被引：0
|
作者：
Pu, Xingcheng [1 ]
Zeng, Fanhai [2 ]
机构：
[1] Chongqing Univ Posts & Telecommun, Sch Math & Phys, Chongqing 400065, Peoples R China
[2] Chongqing Univ Posts & Telecommun, Comp Dept, Chongqing 400065, Peoples R China
来源：
ADVANCED RESEARCH ON AUTOMATION, COMMUNICATION, ARCHITECTONICS AND MATERIALS, PTS 1 AND 2 | 2011年 / 225-226卷 / 1-2期
关键词：
Hybrid Impulsive and Switching Stochastic Systems (HISSS); p-th moment asymptotic stability; p-th moment exponential stability; Lyapunov-Krasovskii function; GROSSBERG NEURAL-NETWORKS; EXPONENTIAL STABILITY;
D O I：
10.4028/www.scientific.net/AMR.225-226.268
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This article formulates and studies a model of Hybrid Impulsive and Switching Stochastic Systems (HISSS). Using integral Inequality, Ito Isometry, The Gronwall Inequality,Doob's martingale Inequality and Borel-Cantelli Lemma, we has got a existing and unique result for HISSS. On the other hand, to the best of author's knowledge, date up to now, seldom stability result has been arrived for HISSS. In order to fill this gap, p-moment asymptotic stability and p-moment exponential stability are considered. Some theorems on p-moment asymptotic stability and p-moment exponential stability of HISSS are established by using Lyapunov-Krasovskii function and stochastic analysis theory.
引用
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页码：268 / +
页数：2
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