Existence and globally exponential stability of equilibrium for fuzzy BAM neural networks with distributed delays and impulse

Advances in Difference Equations

Daixi Liao¹  Qianhong Zhang²  Lihui Yang³ 

[1] Department of Mathematics, Hunan City University, Yiyang Hunan, China;Guizhou Key Laboratory of Economic System Simulation, Guizhou College of Finance and Economics, Guiyang Guizhou, China;School of Mathematics and Statistics, Guizhou College of Finance and Economics, Guiyang Guizhou, China

关键词: Fuzzy BAM neural networks;    Equilibrium point;    Globally exponential stability;    Distributed delays;    Impulse;   

DOI  :  10.1186/1687-1847-2011-8

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this article, fuzzy bi-directional associative memory neural networks with distributed delays and impulses are considered. Some sufficient conditions for the existence and globally exponential stability of unique equilibrium point are established using fixed point theorem and differential inequality techniques. The results obtained are easily checked to guarantee the existence, uniqueness, and globally exponential stability of equilibrium point. MSC: 34K20; 34K13; 92B20.

【 授权许可】

CC BY