Impulsive control and synchronization for delayed neural networks with reaction-diffusion terms

Authors:
Cheng Hu;Haijun Jiang;Zhidong Teng
Affiliations:
College of Mathematics and System Sciences, Xinjiang University, Urumqi, China;College of Mathematics and System Sciences, Xinjiang University, Urumqi, China;College of Mathematics and System Sciences, Xinjiang University, Urumqi, China
Venue:
IEEE Transactions on Neural Networks
Year:
2010

Citing 13
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Abstract

This paper discuss the global exponential stability and synchronization of the delayed reaction-diffusion neural networks with Dirichlet boundary conditions under the impulsive control in terms of -norm and point out the fact that there is no constant equilibrium point other than the origin for the reaction-diffusion neural networks with Dirichlet boundary conditions. Some new and useful conditions dependent on the diffusion coefficients are obtained to guarantee the global exponential stability and synchronization of the addressed neural networks under the impulsive controllers we assumed. Finally, some numerical examples are given to demonstrate the effectiveness of the proposed control methods.