Global exponential stability of high-order BAM neural networks with S-type distributed delays and reaction diffusion terms

Authors:
Chengrong Ma;Fengyan Zhou
Affiliations:
Zhejiang Industry Polytechnic College, Shaoxing, Zhejiang, China;Department of Mathematics, Shaoxing University, Shaoxing, Zhejiang, China
Venue:
WSEAS Transactions on Mathematics
Year:
2011

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Abstract

In this paper, by constructing suitable Lyapunov functional, using differential mean value theorem and homeomorphism, we analyze the global exponential stability of high-order bi-directional associative memory (BAM) neural networks with reaction-diffusion terms and S-type distributed delays. Some sufficient theorems have been derived under different conditions to guarantee the global exponential stability of the networks. Moreover, two numerical examples are presented to illustrate the feasibility and effectiveness of the results.