Finite-time synchronization for memristor-based neural networks with time-varying delays.

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

Abstract

Memristive network exhibits state-dependent switching behaviors due to the physical properties of memristor, which is an ideal tool to mimic the functionalities of the human brain. In this paper, finite-time synchronization is considered for a class of memristor-based neural networks with time-varying delays. Based on the theory of differential equations with discontinuous right-hand side, several new sufficient conditions ensuring the finite-time synchronization of memristor-based chaotic neural networks are obtained by using analysis technique, finite time stability theorem and adding a suitable feedback controller. Besides, the upper bounds of the settling time of synchronization are estimated. Finally, a numerical example is given to show the effectiveness and feasibility of the obtained results.

Authors

  • Abdujelil Abdurahman
    College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830046, Xinjiang, PR China.
  • Haijun Jiang
    College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830046, Xinjiang, PR China. Electronic address: jianghaijunxju@163.com.
  • Zhidong Teng
    College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830046, Xinjiang, PR China.