2012Journal of Tianjin Normal UniversityRequires access

Sufficient and necessary condition for existence and uniqueness of equilibrium point of a class of cellular neural networks with delay

Liqun Zhou

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Abstract

A class of cellular neural networks with delay is studied.For a class of extensive activity functions,a sufficient and necessary condition is derived for the existence and uniqueness of the equilibrium point by using the matrix theory.The condition is delay-dependent and easily verifiable.

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What this paper is about

A class of cellular neural networks with delay is studied.For a class of extensive activity functions,a sufficient and necessary condition is derived for the existence and uniqueness of the equilibrium point by using the matrix theory.The condition is delay-dependent and easily verifiable.

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Available abstract

A class of cellular neural networks with delay is studied.For a class of extensive activity functions,a sufficient and necessary condition is derived for the existence and uniqueness of the equilibrium point by using the matrix theory.The condition is delay-dependent and easily verifiable.

Key concepts: Uniqueness, Class (philosophy), Verifiable secret sharing, Equilibrium point, Mathematics, Artificial neural network, Point (geometry), Applied mathematics

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