Based on previous research on the finite-time output synchronization of coupled neural networks (CNNs), this paper proposes the novel concept of fixed-time output synchronization and fixed-time $H_{\infty }$ output synchronization, and extends the corresponding results to coupled reaction-diffusion neural networks (CRDNNs). In addition, the output delayed coupling and discontinuous activations are taken into consideration. Then, two types of CRDNNs are considered, the CRDNNs with external disturbances or that without disturbances. With the Lyapunov functional and fixed-time control theory, a novel feedback control scheme is proposed to guarantee fixed-time output synchronization and $H_{\infty }$ output synchronization of the considered CRDNNs respectively. Finally, numerical examples are given to demonstrate the correctness of our results.

中文翻译：

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具有时滞输出耦合的耦合反应扩散神经网络的固定时间输出同步

在先前对耦合神经网络（CNN）的有限时间输出同步的研究的基础上，本文提出了固定时间输出同步和固定时间的新概念。 $ H _ {\ infty} $输出同步，并将相应的结果扩展到耦合反应扩散神经网络（CRDNN）。另外，考虑了输出延迟的耦合和不连续的激活。然后，考虑两种类型的CRDNN，即带有外部干扰的CRDNN或没有外部干扰的CRDNN。利用Lyapunov函数和固定时间控制理论，提出了一种新颖的反馈控制方案，以保证固定时间输出的同步和$ H _ {\ infty} $分别考虑的CRDNN的输出同步。最后，通过数值例子说明了我们结果的正确性。