Difference inequality for stability of impulsive difference equations with distributed delays

被引：8
作者：
Li, Dingshi [1 ]
Long, Shujun [2 ]
Wang, Xiaohu [1 ]
机构：
[1] Sichuan Univ, Yangtze Ctr Math, Chengdu 610064, Peoples R China
[2] Leshan Teachers Coll, Coll Math & Informat Sci, Leshan 614004, Peoples R China
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2011年
基金：
中国国家自然科学基金;
关键词：
Difference equations; Impulsive; Distributed delays; Difference inequality; Global exponential stability; GLOBAL EXPONENTIAL STABILITY; COMPLEX NETWORKS; NEURAL-NETWORKS; SYNCHRONIZATION; DISTURBANCES;
D O I：
10.1186/1029-242X-2011-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider a class of impulsive difference equations with distributed delays. By establishing an impulsive delay difference inequality and using the properties of "rho-cone" and eigenspace of the spectral radius of non-negative matrices, some new sufficient conditions for global exponential stability of the impulsive difference equations with distributed delays are obtained. An example is given to demonstrate the effectiveness of the theory.
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页数：9
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