IEEE Trans Neural Netw Learn Syst. 2020 Dec;31(12):5231-5244. doi: 10.1109/TNNLS.2020.2964843. Epub 2020 Nov 30.
Recently, the dynamical behaviors of coupled neural networks (CNNs) with and without reaction-diffusion terms have been widely researched due to their successful applications in different fields. This article introduces some important and interesting results on this topic. First, synchronization, passivity, and stability analysis results for various CNNs with and without reaction-diffusion terms are summarized, including the results for impulsive, time-varying, time-invariant, uncertain, fuzzy, and stochastic network models. In addition, some control methods, such as sampled-data control, pinning control, impulsive control, state feedback control, and adaptive control, have been used to realize the desired dynamical behaviors in CNNs with and without reaction-diffusion terms. In this article, these methods are summarized. Finally, some challenging and interesting problems deserving of further investigation are discussed.
最近，由于在不同领域的成功应用，带有和不带有反应扩散项的耦合神经网络（CNN）的动态行为已经得到了广泛的研究。本文介绍了关于这个主题的一些重要和有趣的结果。首先，总结了带有和不带有反应扩散项的各种 CNN 的同步、被动和稳定性分析结果，包括脉冲、时变、时不变、不确定、模糊和随机网络模型的结果。此外，还使用了一些控制方法，如采样数据控制、钉扎控制、脉冲控制、状态反馈控制和自适应控制，来实现带有和不带有反应扩散项的 CNN 中的期望动态行为。在本文中，总结了这些方法。最后，讨论了一些具有挑战性和趣味性的值得进一步研究的问题。
