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Zbl 1193.34158
Zhang, Lijuan; Si, Ligeng
Existence and exponential stability of almost periodic solution for BAM neural networks with variable coefficients and delays. (English)
[J] Appl. Math. Comput. 194, No. 1, 215-223 (2007). ISSN 0096-3003

Summary: By using exponential dichotomy, the Banach fixed point theory, constructing suitable Lyapunov functional, and combining Yang inequality, some sufficient conditions are derived ensuring existence, globally exponential stability of almost periodic solution for BAM neural networks with variable coefficients and delays. Without assuming the boundedness of signal function, these results obtained are significant in design and applications of BAM neural networks. We extend and improve previously known results.

MSC 2000:: *34K20 Stability theory of functional-differential equations
34K40 Neutral equations
92B20 General theory of neural networks

Keywords: BAM neural networks; almost periodic solution; globally exponential stability; exponential dichotomy; fixed point theory

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