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Zbl 1154.34391
Zhou, Qinghua
Global exponential stability of BAM neural networks with distributed delays and impulses. (English)
[J] Nonlinear Anal., Real World Appl. 10, No. 1, 144-153 (2009). ISSN 1468-1218

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 2000:: *34K20 Stability theory of functional-differential equations
34D23 Global stability
32B20 Semi-analytic sets, etc.
37N25 Dynamical systems in biology
34K45 Equations with impulses

Keywords: bi-directional neural network; distributed delays; impulsive equations; global exponential stability; Lyapunov functional

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