Globally fixed-time synchronization of coupled neutral-type neural network with mixed time-varying delays.

Journal: PloS one
Published Date: Jan 25, 2018

Abstract

This paper mainly studies the globally fixed-time synchronization of a class of coupled neutral-type neural networks with mixed time-varying delays via discontinuous feedback controllers. Compared with the traditional neutral-type neural network model, the model in this paper is more general. A class of general discontinuous feedback controllers are designed. With the help of the definition of fixed-time synchronization, the upper right-hand derivative and a defined simple Lyapunov function, some easily verifiable and extensible synchronization criteria are derived to guarantee the fixed-time synchronization between the drive and response systems. Finally, two numerical simulations are given to verify the correctness of the results.

Authors

  • Mingwen Zheng
    School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China.
  • Lixiang Li
    Information Security Center, State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing 100876, China.
  • Haipeng Peng
    Information Security Center, State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing 100876, China.
  • Jinghua Xiao
    School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China.
  • Yixian Yang
    Information Security Center, State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing 100876, China.
  • Yanping Zhang
    Key Laboratory of Intelligent Computing and Signal Processing of Ministry of Education, ‡School of Computer Science and Technology, and §Center of Information Support & Assurance Technology, Anhui University , Hefei, 230601 Anhui, China.
  • Hui Zhao
    School of Mathematics and Computer Science, Shaanxi University of Technology, Hanzhong, 723000, Shaanxi, China.

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