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Arik, Sabri; Orman, Zeynep

Global stability analysis of Cohen-Grossberg neural networks with time varying delays. (English) Zbl 1171.37337

Phys. Lett., A 341, No. 5-6, 410-421 (2005).
Summary: This Letter presents some sufficient conditions for the existence, uniqueness and global asymptotic and exponential stability of the equilibrium point for Cohen-Grossberg neural networks with time delays. The results establish a relationship between the network parameters of the neural system independently of the delay parameters. The results are also compared with the previously reported results in the literature.

Cited in 60 Documents

MSC:

37N25 Dynamical systems in biology

Keywords:

equilibrium and stability analysis; Cohen-Grossberg neural networks; Lyapunov functionals; Halanay inequality
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\textit{S. Arik} and \textit{Z. Orman}, Phys. Lett., A 341, No. 5--6, 410--421 (2005; Zbl 1171.37337)
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