✦ LIBER ✦

Global asymptotical stability of continuous-time delayed neural networks without global Lipschitz activation functions

✍ Scribed by Yong Tan; Mingjia Tan

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 239 KB
Volume: 14
Category: Article
ISSN: 1007-5704
DOI: 10.1016/j.cnsns.2009.01.032

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✦ Synopsis

This paper investigates the global asymptotic stability of equilibrium for a class of continuous-time neural networks with delays. Based on suitable Lyapunov functionals and the homeomorphism theory, some sufficient conditions for the existence and uniqueness of the equilibrium point are derived. These results extend the previously works without assuming boundedness and Lipschitz conditions of the activation functions and any symmetry of interconnections. A numerical example is also given to show the improvements of the paper.

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