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Exponential stability of delayed bi-directional associative memory networks. (English) Zbl 1030.34073

Summary: Some sufficient conditions are derived for the global exponential stability in delayed bi-directional associative memory (BAM) networks by constructing a suitable Lyapunov functional and the inequality \(2ab\leq a^2+b^2\) technique. These conditions have an important leading significance in the design and applications of globally exponentially stable neural circuits for delayed BAM.

MSC:

34K20 Stability theory of functional-differential equations
34K60 Qualitative investigation and simulation of models involving functional-differential equations
93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory
92B20 Neural networks for/in biological studies, artificial life and related topics
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