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Zbl 1163.92307
Tan, Man-Chun; Zhang, Yu-Nong
New sufficient conditions for global asymptotic stability of Cohen-Grossberg neural networks with time-varying delays. (English)
[J] Nonlinear Anal., Real World Appl. 10, No. 4, 2139-2145 (2009). ISSN 1468-1218

Summary: A class of Cohen-Grossberg neural networks with time-varying delays is considered. Without assuming boundedness and monotonicity of the activation functions, we establish new sufficient conditions for the existence, uniqueness and global asymptotic stability of the equilibrium points for such delayed Cohen-Grossberg neural networks. Numerical examples are provided to show that the proposed criteria are less conservative than some results in the literature.

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

Keywords: neural networks; Cohen-Grossberg model; equilibrium; stability; Lyapunov functionals

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