Existence and Stability of Periodic Solution for Impulsive Hopfield Cellular Neural Networks with Distributed Delays

Lin Li Zhang; Rui Li Fan; An Ping Liu; Li Xiao

doi:10.4028/www.scientific.net/AMM.275-277.2601

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 275-277Existence and Stability of Periodic Solution for...

Existence and Stability of Periodic Solution for Impulsive Hopfield Cellular Neural Networks with Distributed Delays

Abstract:

As an important tool to study practical problems of biology, engineering and image processing, the cellular neural networks (CNNs) has caused more and more attention. Some interesting results about the existence of solution for cellular neural networks have been obtained. In this paper, by means of iterative analysis, the existence of periodic solution and the uniform stability of the equilibrium point of impulsive Hopfield cellular neural networks with distributed delays are considered. Some new results are obtained.

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Applied Mechanics and Materials (Volumes 275-277)

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2601-2605

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.275-277.2601

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Online since:

January 2013

Authors:

Lin Li Zhang, Rui Li Fan, An Ping Liu*, Li Xiao

Keywords:

Cellular Neural Networks, Distributed Delays, Existence, Impulse, Iterative Analysis, Periodic Solution, Stability

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