Dissipativity and periodic attractor for non-autonomous neural networks with time-varying delays

Dissipativity and periodic attractor for non-autonomous neural networks with time-varying delays
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DOI:
10.1016/j.neucom.2006.10.104
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发表时间:
2007-10
期刊:
影响因子:
6
通讯作者:
Yumei Huang;Daoyi Xu;Zhichun Yang
Yumei Huang;Daoyi Xu;Zhichun Yang
中科院分区:
计算机科学2区
文献类型:
--
作者:
Yumei Huang;Daoyi Xu;Zhichun Yang

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本文考虑了一类具有时变时滞的非自治神经网络的动力学模型。利用m矩阵的性质、不等式分析技术和Banach不动点定理,得到了周期吸引子的耗散性和存在性的一系列新判据。我们的结果可以扩展和改进早期的结果。
In this paper, a model is considered to describe the dynamics of a class of non-autonomous neural networks with time-varying delays. By applying the properties of M-matrix, the techniques of inequality analysis and the Banach fixed point theorem, we obtain a series of new criteria on the dissipativity and existence of periodic attractor. Our results can extend and improve earlier ones.