Necessary and sufficient conditions for global attractivity of Hopfield-type neural networks with time delays

Shangguo Zhang; Wanbiao Ma; Yang Kuang

doi:10.1216/RMJ-2008-38-5-1829

Necessary and sufficient conditions for global attractivity of Hopfield-type neural networks with time delays

Shangguo Zhang, Wanbiao Ma, Yang Kuang

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

In this paper, two classes of two- and threedimensional Hopfield-type neural networks with time delays are considered by using a completely different method from known results. Some necessary and sharper sufficient criteria for the global attractivity of equilibria of the neural networks are presented.

Original language	English (US)
Pages (from-to)	1829-1840
Number of pages	12
Journal	Rocky Mountain Journal of Mathematics
Volume	38
Issue number	5
DOIs	https://doi.org/10.1216/RMJ-2008-38-5-1829
State	Published - 2008

Keywords

Global attractivity
Hopfield-type neural networks
Time delays

ASJC Scopus subject areas

Mathematics(all)

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10.1216/RMJ-2008-38-5-1829

Cite this

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title = "Necessary and sufficient conditions for global attractivity of Hopfield-type neural networks with time delays",

abstract = "In this paper, two classes of two- and threedimensional Hopfield-type neural networks with time delays are considered by using a completely different method from known results. Some necessary and sharper sufficient criteria for the global attractivity of equilibria of the neural networks are presented.",

keywords = "Global attractivity, Hopfield-type neural networks, Time delays",

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AU - Zhang, Shangguo

AU - Ma, Wanbiao

AU - Kuang, Yang

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N2 - In this paper, two classes of two- and threedimensional Hopfield-type neural networks with time delays are considered by using a completely different method from known results. Some necessary and sharper sufficient criteria for the global attractivity of equilibria of the neural networks are presented.

AB - In this paper, two classes of two- and threedimensional Hopfield-type neural networks with time delays are considered by using a completely different method from known results. Some necessary and sharper sufficient criteria for the global attractivity of equilibria of the neural networks are presented.

KW - Global attractivity

KW - Hopfield-type neural networks

KW - Time delays

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Necessary and sufficient conditions for global attractivity of Hopfield-type neural networks with time delays

Abstract

Keywords

ASJC Scopus subject areas

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