Fixed-time and prescribed-time synchronization of quaternion-valued neural networks: A control strategy involving Lyapunov functions.

Journal: Neural networks : the official journal of the International Neural Network Society
Published Date: Jan 3, 2023

Abstract

A control strategy containing Lyapunov functions is proposed in this paper. Based on this strategy, the fixed-time synchronization of a time-delay quaternion-valued neural network (QVNN) is analyzed. This strategy is extended to the prescribed-time synchronization of the QVNN. Furthermore, an improved two-step switching control strategy is also proposed based on this flexible control strategy. Compared with some existing methods, the main method of this paper is a non-decomposition one, does not contain a sign function in the controller, and has better synchronization accuracy. Two numerical examples verify the above advantages.

Authors

  • Tao Peng
    Department of Biology, Shantou University, Shantou, China.
  • Yanqiu Wu
    School of Mathematics and Statistics, Chongqing Three Gorges University, Wanzhou 404100, China. Electronic address: wuyanqiu0516@126.com.
  • Zhengwen Tu
    Department of Mathematics, and Research Center for Complex Systems and Network Sciences, Southeast University, Nanjing 210996, Jiangsu, China; School of Mathematics and Statistics, and Key Laboratory for Nonlinear Science and System Structure, Chongqing Three Gorges University, Wanzhou 404100, Chongqing, China.
  • A S Alofi
    Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia. Electronic address: aalofi1@kau.edu.sa.
  • Jianquan Lu
    Department of Mathematics, Southeast University, Nanjing 210096, China. Electronic address: jqluma@seu.edu.cn.

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