Dynamics of Cohen–Grossberg neural networks with variable and distributed delays

descriptionPublicationkeyboard_double_arrow_right Article 01 Oct 2007 English Publisher:Elsevier BVJournal:Physica D: Nonlinear Phenomena, volume 234, pages 11-22 (issn: 0167-2789,

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Authors: Mao, Zisen; Zhao, Hongyong; Wang, Xiaofeng;

doi: 10.1016/j.physd.2007.06.023

Dynamics of Cohen–Grossberg neural networks with variable and distributed delays

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Abstract

Cohen-Grossberg neural networks with variable and distributed delays are studied. Sufficient conditions for existence, uniqueness and exponential stability of an equilibrium point are proved by means of Brouwer's fixed-point theorem and inequality technique. Numerical examples are provided by the authors as well.

Related Organizations

Nanjing University of Aeronautics and Astronautics
China (People's Republic of)
Xinjiang Normal University
China (People's Republic of)

Keywords

variable delays, Stability theory of functional-differential equations, exponential stability, Cohen-Grossberg neural networks, Neural networks for/in biological studies, artificial life and related topics, distributed delays

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