Finite-Time and Fixed-Time Synchronization of Coupled Memristive Neural Networks With Time Delay
Finite-Time and Fixed-Time Synchronization of Coupled Memristive Neural Networks With Time Delay
复制标题
时滞耦合忆阻神经网络的有限时间和固定时间同步
DOI：
10.1109/tcyb.2019.2953236
复制
发表时间：
2021-06-01
影响因子：
11.8
通讯作者：
Huang, Tingwen
中科院分区：
文献类型：
--
作者：
Gong, Shuqing;Guo, Zhenyuan;Huang, Tingwen
本文研究耦合时滞记忆神经网络的有限时间同步和固定时间同步问题。由于跟踪目标的不确定性，同步是无领导的，而不是领导者-跟随者的。通过设计适当的控制器，并利用Lyapunov方法，通过引入一类特殊的辅助矩阵，得到了耦合记忆神经网络实现有限时间同步和固定时间同步的几个充分条件。此外，对于依赖于初值的有限时间同步以及对于任何初值一致有界的固定时间同步，可以估计建立时间。最后给出了两个算例，验证了理论结果的有效性。
This article is devoted to analyzing the finite-time and fixed-time synchronization of coupled memristive neural networks with time delays. The synchronization is leaderless rather than leader-follower as the tracking targets are uncertain. By designing a proper controller and using the Lyapunov method, several sufficient conditions are obtained to achieve the finite-time and fixed-time synchronization of coupled memristive neural networks by introducing a class of special auxiliary matrices. Moreover, the settling times can be estimated for finite-time synchronization that depends on the initial values as well as fixed-time synchronization that is uniformly bounded for any initial values. Finally, two examples are presented to substantiate the effectiveness of the theoretical results.