Controller design for global fixed-time synchronization of delayed neural networks with discontinuous activations
Controller design for global fixed-time synchronization of delayed neural networks with discontinuous activations
复制标题
具有不连续激活的延迟神经网络全局固定时间同步的控制器设计
DOI：
10.1016/j.neunet.2016.12.006
复制
发表时间：
2017
期刊：
影响因子：
7.8
通讯作者：
Xiaoping Wang
中科院分区：
文献类型：
--
作者：
Leimin Wang;Zhigang Zeng;Junhao Hu;Xiaoping Wang
研究了具有不连续激励的时滞神经网络全局定时同步控制器设计问题。针对这一问题，设计了自适应控制和状态反馈控制律。然后基于这两个控制器和两个引理，证明了误差系统是全局渐近稳定的，甚至是固定时间稳定的。此外，还得到了保证驱动系统和响应系统在固定时间内全局同步的一些充分且易于检验的条件。注意，固定时间同步的稳定时间函数与初始条件无关。我们的固定时间同步结果包含有限时间的结果作为特殊情况下，通过选择不同的值的两个控制器。最后，数值模拟支持理论结果。
This paper addresses the controller design problem for global fixed-time synchronization of delayed neural networks (DNNs) with discontinuous activations. To solve this problem, adaptive control and state feedback control laws are designed. Then based on the two controllers and two lemmas, the error system is proved to be globally asymptotically stable and even fixed-time stable. Moreover, some sufficient and easy checked conditions are derived to guarantee the global synchronization of drive and response systems in fixed time. It is noted that the settling time functional for fixed-time synchronization is independent on initial conditions. Our fixed-time synchronization results contain the finite-time results as the special cases by choosing different values of the two controllers. Finally, theoretical results are supported by numerical simulations.