Attraction of stochastic neutral delay differential equations with Markovian switching

被引：4

作者：

Li, Bing ^{[1
,2
]}

Xu, Daoyi ^{[2
]}

机构：

[1] Chongqing Jiaotong Univ, Coll Sci, Chongqing 400074, Peoples R China

[2] Sichuan Univ, Yangtze Ctr Math, Chengdu 610064, Peoples R China

来源：

IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION | 2014年 / 31卷 / 01期

关键词：

stochastic; neutral; Markovian switching; attraction; stability; RECURRENT NEURAL-NETWORKS; EXPONENTIAL STABILITY; MEAN-SQUARE; ASYMPTOTIC STABILITY; INVARIANT-SETS; UNIQUENESS; EXISTENCE; STABILIZATION; THEOREMS; CRITERIA;

D O I：

10.1093/imamci/dns043

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we investigate stochastic neutral delay differential equations with Markovian switching. By constructing an improved singular differential inequality and using some stochastic analysis techniques, we derive a sufficient criterion for ensuring the existence of the global attracting set and give a quantitative estimation with exponential decay form for solutions. Two numerical examples are discussed to illustrate the efficiency of the proposed method.

引用

页码：15 / 31

页数：17

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