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http://dx.doi.org/10.4134/JKMS.2009.46.5.1071

EXISTENCE AND EXPONENTIAL STABILITY OF ALMOST PERIODIC SOLUTION FOR SHUNTING INHIBITORY CELLULAR NEURAL NETWORKS WITH DISTRIBUTED DELAYS AND LARGE IMPULSES  

Zuo, Yi (COLLEGE OF ELECTRIC AND INFORMATION TECHNOLOGY HUNAN UNIVERSITY, DEPARTMENT OF APPLIED MATHEMATICS UNIVERSITY OF WATERLOO)
Wang, Yaonan (COLLEGE OF ELECTRIC AND INFORMATION TECHNOLOGY HUNAN UNIVERSITY)
Huang, Lihong (COLLEGE OF MATHEMATICS AND ECONOMETRICS HUNAN UNIVERSITY)
Li, Chunsheng (COLLEGE OF ELECTRIC AND INFORMATION TECHNOLOGY HUNAN UNIVERSITY)
Publication Information
Journal of the Korean Mathematical Society / v.46, no.5, 2009 , pp. 1071-1085 More about this Journal
Abstract
This paper considers the problem of existence and exponential stability of almost periodic solution for shunting inhibitory cellular neural networks with distributed delays and large impulses. Based on the contraction principle and Gronwall-Bellman's inequality, some sufficient conditions are obtained. The results of this paper are new and they complement previously known results.
Keywords
shunting inhibitory cellular neural networks; exponential stability; impulses; distributed delays;
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