Hamiltonian Matrix Strategy for Exponential Synchronization of Neural Networks with Diffusion

Qian Ye; Xu Yang Lou

doi:10.4028/www.scientific.net/AMM.490-491.947

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 490-491Hamiltonian Matrix Strategy for Exponential...

Hamiltonian Matrix Strategy for Exponential Synchronization of Neural Networks with Diffusion

Abstract:

In this paper, the problem of exponential synchronization for a class of chaotic neural networks which covers the Hopfield neural networks and cellular neural networks with reaction-diffusion terms and time-varying delays is investigated. A feedback control gain matrix is derived to achieve the state synchronization of two identical neural networks with reaction-diffusion terms, and the synchronization condition can be verified if a certain Hamiltonian matrix with no eigenvalue on the imaginary axis.

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Periodical:

Applied Mechanics and Materials (Volumes 490-491)

Pages:

947-950

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.490-491.947

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Online since:

January 2014

Authors:

Qian Ye*, Xu Yang Lou

Keywords:

Chaotic Neural Networks, Exponential Synchronization, Lyapunov Functional, Reaction-Diffusion Terms, Time-Varying

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