具反应扩散项和Neumann边界条件的脉冲变时滞细胞神经网络的全局指数稳定性

Abstract

Abstract:

This work addresses the stability of a class of impulsive cellular neural networks with time-varying delays, reaction-diffusion terms and Neumann boundary condition. By using Gronwall-Bellman-type impulsive integral inequality and
Poincar´e inequality as well as the properties of diffusion operator, we develop some new sufficient conditions ensuring the global exponential stability of equilibrium point. Moreover, the estimate of exponential convergence rate is derived and shown to be associated with diffusion and time delays. Finally, two examples are illustrated to demonstrate the effectiveness of our obtained results.

Key words: Global exponential stability, Reaction diffusion, Impulsive, Delay, Integral inequality

CLC Number:

45M10

ZHANG Yu-Tian, LUO Qi. Global Exponential Stability of Impulsive Reaction-Diffusion Cellular Neural Networks with Time-Varying Delays and Neumann Boundary Condition[J].Acta mathematica scientia,Series A, 2013, 33(4): 777-786.

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Global Exponential Stability of Impulsive Reaction-Diffusion Cellular Neural Networks with Time-Varying Delays and Neumann Boundary Condition

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