A new switching control for finite-time synchronization of memristor-based recurrent neural networks.

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

Abstract

In this paper, finite-time synchronization (FTS) of memristor-based recurrent neural networks (MNNs) with time-varying delays is investigated by designing a new switching controller. First, by using the differential inclusions theory and set-valued maps, sufficient conditions to ensure FTS of MNNs are obtained under the two cases of 0<α<1 and α=0, and it is derived that α=0 is the critical value of 0<α<1. Next, it is discussed deeply on the relation between the parameter α and the synchronization time. Then, a new controller with a switching parameter α is designed which can shorten the synchronization time. Finally, some numerical simulation examples are provided to illustrate the effectiveness of the proposed results.

Authors

  • Jie Gao
    Department of Nephrology, Shandong Provincial Hospital Affiliated to Shandong First Medical University, Jinan, China.
  • Peiyong Zhu
    School of Mathematical Sciences, University of Electronic Science and Technology, Chengdu 611731, China.
  • Ahmed Alsaedi
    Department of Mathematics, King AbdulAziz University, Jeddah, Saudi Arabia.
  • Fuad E Alsaadi
    Faculty of Engineering, King Abdulaziz University, Jeddah 21589, Saudi Arabia.
  • Tasawar Hayat
    Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia; Department of Mathematics, Quaid-I-Azam University, Islamabad 44000, Pakistan.