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Dynamic Analysis for Generalized Cellular Neural Networks with Delay

Liao Xiao

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Abstract

In this paper we study dynamic behaviour of generalized cellular neural networks.First we estabilish a necessary and sufficient condition ensuring existence and uniqueness of the equilibrium for the generalized cellular neural networks with delay using the degree theory.Then new conditions which guarantee the global exponential stability of the equilibrium for the generalized cellular neural networks with delay are given.

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What this paper is about

In this paper we study dynamic behaviour of generalized cellular neural networks.First we estabilish a necessary and sufficient condition ensuring existence and uniqueness of the equilibrium for the generalized cellular neural networks with delay using the degree theory.Then new conditions which guarantee the global exponential stability of the equilibrium for the generalized cellular neural networks with delay are given.

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Available abstract

In this paper we study dynamic behaviour of generalized cellular neural networks.First we estabilish a necessary and sufficient condition ensuring existence and uniqueness of the equilibrium for the generalized cellular neural networks with delay using the degree theory.Then new conditions which guarantee the global exponential stability of the equilibrium for the generalized cellular neural networks with delay are given.

Key concepts: Uniqueness, Cellular neural network, Artificial neural network, Exponential stability, Computer science, Stability (learning theory), Mathematics, Applied mathematics

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