Dynamics of Uncertain Discrete-Time Neural Network with Delay and Impulses

Xuehui Mei, Liwei Zhang, Haijun Jiang and Zhiyong Yu

Discrete Dynamics in Nature and Society, 2015, vol. 2015, 1-9

Abstract:

The stability of discrete-time impulsive delay neural networks with and without uncertainty is investigated. First, by using Razumikhin-type theorem, a new less conservative condition for the exponential stability of discrete-time neural network with delay and impulse is proposed. Moreover, some new sufficient conditions are derived to guarantee the stability of uncertain discrete-time neural network with delay and impulse by using Lyapunov function and linear matrix inequality (LMI). Finally, several examples with numerical simulation are presented to demonstrate the effectiveness of the obtained results.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:431027

DOI: 10.1155/2015/431027

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