Predefined-time synchronization of competitive neural networks.

Journal: Neural networks : the official journal of the International Neural Network Society
Published Date: Jul 7, 2021

Abstract

In this paper, the predefined-time synchronization of competitive neural networks (CNNs) is researched based on two different predefined-time stability theorems. In view of the bilayer structure of CNNs, we design two bilayer predefined-time controllers. The first controller utilizes sign function, while the second controller utilizes exponential function and Lyapunov function. In these two controllers, the predefined time is set as a controller parameter, and it can be an arbitrary positive constant. Under these two controllers, the considered CNNs can achieve synchronization within the predefined time regardless of the initial values. A specific example is presented to validate the theoretical results.

Authors

  • Chuan Chen
    Information Security Center, State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing 100876, China.
  • Ling Mi
    School of Mathematics and Statistics, Qilu University of Technology, Jinan 250353, China. Electronic address: miling@lyu.edu.cn.
  • Zhongqiang Liu
    Information Technology Research Center, Beijing Academy of Agriculture and Forestry Sciences, Beijing, China.
  • Baolin Qiu
    School of Information Technology, Jiangxi University of Finance and Economics, Nanchang 330032, China. Electronic address: qiubaolin@jxufe.edu.cn.
  • Hui Zhao
    School of Mathematics and Computer Science, Shaanxi University of Technology, Hanzhong, 723000, Shaanxi, China.
  • Lijuan Xu
    Shandong Provincial Key Laboratory of Computer Networks, Shandong Computer Science Center(National Supercomputer Center in Jinan), Qilu University of Technology (Shandong Academy of Sciences), Jinan 250014, China. Electronic address: xulj@sdas.org.

Keywords

External Resources

Popular Topics
Recent Journals