Stability of periodic solution in fuzzy BAM neural networks with finite distributed delays

Authors:
Tingwen Huang;Yu Huang;Chuandong Li
Affiliations:
Texas A&M University at Qatar, P.O. Box 5825, Doha, Qatar;Department of Mathematics, Zhongshan University, Guangzhou 510275, China;Department of Computer Science and Engineering, Chongqing University, Chongqing 400030, PR China
Venue:
Neurocomputing
Year:
2008

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Abstract

In this paper, stability is considered for a class of fuzzy cellular neural networks with distributed delay (FCNNDD). The condition for feedback kernel is minimal: the only condition required is that @!"0^@tk(s)ds=1. Significant for applications of neural networks, the stability of FCNNDD is discussed when @t is finite and infinite. Exponential stability is obtained with distributed delay in finite time, while asymptotic stability is obtained with distributed delay in infinite time.