Impulsive delay differential inequality and stability of neural networks
Impulsive delay differential inequality and stability of neural networks
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DOI：
10.1016/j.jmaa.2004.10.040
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发表时间：
2005-05
影响因子：
1.3
通讯作者：
Daoyi Xu;Zhichun Yang
中科院分区：
文献类型：
--
作者：
Daoyi Xu;Zhichun Yang
本文研究了一类具有时变时滞和脉冲的神经网络模型。通过建立具有脉冲初值的时滞微分不等式，利用M锥和非负矩阵谱半径特征空间的性质，得到了脉冲时滞模型全局指数稳定的一些新的充分条件.这些结果推广和改进了以前的出版物。最后给出了一个例子来说明该理论。
In this article, a generalized model of neural networks involving time-varying delays and impulses is considered. By establishing the delay differential inequality with impulsive initial conditions and using the properties of M-cone and eigenspace of the spectral radius of nonnegative matrices, some new sufficient conditions for global exponential stability of impulsive delay model are obtained. The results extend and improve the earlier publications. An example is given to illustrate the theory.