时滞反应扩散神经网络的预定时间同步-《集美大学学报（自然科学版）》

文章信息/Info

Title:: Predefined-Time Synchronization of Delayed Reaction-Diffusion Time-Varying Neural Networks

Author(s):: ZHAO Ling; HUANG Zhenkun; School of Science,Jimei University,Xiamen 361021,China

Keywords:: reaction-diffusion; predefined-time synchronization; drive-response networks

摘要:: 针对时滞反应扩散神经网络(reaction-diffusion neural networks，RDNN)，利用预定时间稳定理论研究该网络的预定时间同步问题。基于符号函数和指数函数设计2种不同状态反馈控制器，运用Lyapunov函数和不等式技巧，建立保证驱动响应RDNN预定时间同步准则。在这2个控制器下，无论初始条件如何，所考虑的神经网络可以在预定时间内实现同步。最后，通过一个例子验证了理论结果的有效性。

Abstract:: This paper is concerned with the predefined-time synchronization problems of two delayed reaction-diffusion neural networks(RDNN).Two predefined-time controllers were designed.The first controller utilizes sign function,while the second controller utilizes exponential function and Lyapunov function.By utilizing the Lyapunov function method and inequality techniques,several sufficient criteria were derived to guarantee the predefined-time synchronization of the drive-response RDNN. Under these two controllers,the considered neural networks could achieve synchronization within the predefined time regardless of the initial conditions.Finally,an example was presented to substantiate effectiveness of the theoretical results.