Multiple types of synchronization analysis for discontinuous Cohen-Grossberg neural networks with time-varying delays.

Journal: Neural networks : the official journal of the International Neural Network Society
Published Date:

Abstract

This paper is devoted to the exponential synchronization, finite time synchronization, and fixed-time synchronization of Cohen-Grossberg neural networks (CGNNs) with discontinuous activations and time-varying delays. Discontinuous feedback controller and Novel adaptive feedback controller are designed to realize global exponential synchronization, finite time synchronization and fixed-time synchronization by adjusting the values of the parameters ω in the controller. Furthermore, the settling time of the fixed-time synchronization derived in this paper is less conservative and more accurate. Finally, some numerical examples are provided to show the effectiveness and flexibility of the results derived in this paper.

Authors

  • Jiarong Li
    College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, People's Republic of China.
  • Haijun Jiang
    College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830046, Xinjiang, PR China. Electronic address: jianghaijunxju@163.com.
  • Cheng Hu
    College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830046, Xinjiang, PR China.
  • Zhiyong Yu
    College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, People's Republic of China.