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Existence and global exponential stability of periodic solution for Cohen-Grossberg shunting inhibitory cellular neural networks with delays and impulses

机译:具有时滞和脉冲的Cohen-Grossberg分流抑制性细胞神经网络周期解的存在性和全局指数稳定性

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摘要

By using Schaeffer's theorem, differential inequality techniques, and constructing suitable Lyapunov functional, several sufficient conditions are obtained for the existence and global exponential stability of periodic solution for impulsive Cohen-Grossberg shunting inhibitory cellular neural networks with delays. The results of this paper are completely new and complement and improve some of the previously known results. An example is employed to illustrate our feasible results.
机译:通过使用谢弗定理,微分不等式技术,并构建适当的Lyapunov泛函,获得了具有时滞的脉冲Cohen-Grossberg分流抑制性细胞神经网络周期解的存在性和全局指数稳定性的几个充分条件。本文的结果是全新的,可以补充和改进某些先前已知的结果。以一个例子来说明我们可行的结果。

著录项

  • 来源
    《Neurocomputing》 |2009年第12期|2219-2226|共8页
  • 作者

    XinsongYang;

  • 作者单位

    Department of Mathematics, Southeast University, Nanjing 210096, China Department of Mathematics, Honghe University Mengzi, Yunnan 661100, China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    cohen-grossberg SICNNs; global exponential stability; periodic solution; impulses;

    机译:科恩-格罗斯伯格SICNN;全局指数稳定性周期解冲动;
  • 入库时间 2022-08-18 02:08:30

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