具时滞和脉冲的随机BAM型Cohen-Grossberg神经网络的稳定性分析

Abstract

Abstract:

In most papers, stochastic neural network with impulse is studied rarely. In this paper, we consider the global exponential stability of a class of BAM-type Cohen-Grossberg neural networks with delay, impulse and stochastic disturbance by It\^{o} differential formula, M-matrix theory, homotopic invariance theorem and stochastic analysis technique and so on. This paper extends other previous results, and an example is given to show the effectiveness of the results obtained here.

Key words: Neural network, Impulse, Stochastic, Stability

CLC Number:

93D20

PAN Te-Tie, SHI Bao, YANG Shu-Jie, ZHANG Qiang. Stability Analysis of Stochastic BAM-type Cohen-Grossberg Neural Networks with Delays and Impulses[J].Acta mathematica scientia,Series A, 2013, 33(5): 937-950.

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Stability Analysis of Stochastic BAM-type Cohen-Grossberg Neural Networks with Delays and Impulses

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