时滞递归神经网络的全局指数同步
Global Exponential Synchronization of Recurrent Neural Networks with Time Delays
摘要: 本文主要讨论了时滞递归神经网络中，驱动系统和响应系统的全局指数同步问题。本文首先考虑到时滞前后模板元素设计了驱动系统，为了直观地看出全局指数同步效果设计了误差相关的控制器；其次构造了Lyapunov泛函并用Filippov解证明了本文设计的控制器的可行性；最后通过实验发现本文设计的控制器可以使驱动和响应系统达到全局指数同步的效果。
Abstract: In this paper, we mainly discuss the global exponential synchronization of the driving system and the response system in the delayed recurrent neural networks. In this paper, the driving system is designed by considering the delay before and after the template elements. In order to see the global exponential synchronization effect intuitively, the error dependent controller is designed. Secondly, Lyapunov functional is constructed and Filippov solution is used to prove the feasibility of the controller designed in this paper. Finally, experiments show that the controller designed in this paper can make the drive and response system achieving the effect of global exponential syn-chronization.
文章引用：马丁艺, 姑丽加玛丽•麦麦提艾力. 时滞递归神经网络的全局指数同步[J]. 理论数学, 2023, 13(4): 795-803. https://doi.org/10.12677/PM.2023.134082

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