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Global exponential stability of BAM neural networks with distributed delays and impulses. (English) Zbl 1154.34391
Summary: Convergence dynamics of bi-directional associative memory (BAM) neural networks with continuously distributed delays and impulses are discussed. Without assuming the differentiability and the monotonicity of the activation functions and symmetry of synaptic interconnection weights, sufficient conditions to guarantee the existence and global exponential stability of a unique equilibrium are given.
MSC:
34K20Stability theory of functional-differential equations
34D23Global stability of ODE
32B20Semi-analytic sets; subanalytic sets
37N25Dynamical systems in biology
34K45Functional-differential equations with impulses