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Adaptive exponential lag synchronization for neural networks with mixed delays via intermittent control

机译:通过间歇控制具有混合延迟的神经网络的自适应指数滞后同步

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摘要

Abstract In this paper, the problem of exponential lag synchronization for a class of neural networks with mixed delays including discrete and distributed delays is investigated via adaptive intermittent control. Based on piecewise analytic method, some sufficient conditions for globally exponential lag synchronization are established through constructing a piecewise continuous auxiliary function. It is noted that both the control periods and the control widths in our adaptive intermittent control strategy are allowed to be nonidentical, which extends the scope of application of periodically intermittent control with fixed both control period and control width employed widely in previous works. Moreover, it is shown that the derived globally exponential lag synchronization criteria are related to the control rates rather than the control periods, which facilitates the choice of the control periods for practical problems. Finally, a numerical example is given to illustrate the correctness of the obtained theoretical results.
机译:摘要在本文中,指数延迟同步的一类具有混合时滞包括离散分布时滞神经网络的问题是通过自适应间歇控制的影响。基于分段分析法,对全局指数延迟同步的充分条件通过构建一个分段连续辅助功能建立的。值得注意的是,在控制周期和在我们的自适应间歇控制策略控制宽度两者都允许是不相同的,其延伸周期性间歇控制与固定两个控制周期和宽度在以前的工作广泛采用控制的应用的范围。此外,示出的是所导出的全局指数延迟同步标准与控制率,而不是控制周期,这有利于对于实际问题的控制周期的选择。最后,一个数值例子来说明所得到的理论结果的正确性。

著录项

  • 作者

    Peipei Zhou; Shuiming Cai;

  • 作者单位
  • 年度 2018
  • 总页数
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类

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