Finite-/Fixed-Time Synchronization of Delayed Coupled Discontinuous Neural Networks With Unified Control Schemes

• Published in: IEEE transaction on neural networks and learning systems Vol. 32; no. 6; pp. 2535 - 2546
• Main Authors: Xiao, Jian, Zeng, Zhigang, Wen, Shiping, Wu, Ailong, Wang, Leimin
• Format: Journal Article
• Language: English
• Published: Piscataway IEEE 01.06.2021; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Controllers; Convergence; Coupled discontinuous neural networks; Estimation; finite-time synchronization; fixed-time synchronization; Liapunov functions; Lyapunov methods; Neural networks; Protocols; Switches; Synchronization; Time synchronization; unified framework
• ISSN: 2162-237X; 2162-2388; 2162-2388
• DOI: 10.1109/TNNLS.2020.3006516

In this article, it addresses the problem of finite-/fixed-time synchronization of delayed coupled discontinuous neural networks in the unified framework. To achieve the finite-/fixed-time synchronization and precise estimations of setting time, two novel different kinds of controllers are established, in which one is switching. Then, based on the finite-/fixed-time theorem and Lyapunov function theory, some useful criteria are obtained to select suitable controllers' parameters, which can guarantee error systems converge in the finite time/fixed time with respect to coupled neural networks. Moreover, corresponding estimations of the setting time are also provided. Finally, two numerical examples are introduced to show the effectiveness of the proposed control protocols.