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Finite-time synchronization of master-slave neural networks with time-delays and discontinuous activations

机译:具有时间延迟和不连续激活的主-从神经网络的有限时间同步

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摘要

This paper deals with the finite-time synchronization issue of time-varying delayed neural networks (DNNs) with discontinuous activations. Based on master-slave concept, several sufficient conditions are given to guarantee the finite-time synchronization of discontinuous DNNs. In order to control the synchronization error to converge zero in a finite time, we design three classes of novel switching state-feedback controllers which involve time-delays and discontinuous factors. The analysis in this paper employs the extended differential inclusion theory, the famous finite-time stability theorem, inequality techniques and generalized Lyapunov approach. Moreover, the upper bounds of the settling time of synchronization are estimated. Finally, the validity of proposed design method and theoretical results are illustrated by numerical examples.
机译:本文研究具有不连续激活的时变时延神经网络(DNN)的有限时间同步问题。基于主从概念,给出了充分的条件来保证不连续DNN的有限时间同步。为了控制同步误差在有限时间内收敛为零,我们设计了三类新颖的开关状态反馈控制器,它们涉及时间延迟和不连续因素。本文的分析采用扩展的微分包含理论,著名的有限时间稳定性定理,不等式技术和广义Lyapunov方法。此外,估计了同步建立时间的上限。最后,通过算例说明了所提出设计方法的有效性和理论结果。

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