Synchronization of complex networks with time-varying delay of unknown bound via delayed impulsive control.

Journal: Neural networks : the official journal of the International Neural Network Society
Published Date: Feb 19, 2020

Abstract

The synchronization problem for complex networks with time-varying delays of unknown bound is investigated in this paper. From the impulsive control point of view, a novel delayed impulsive differential inequality is proposed, where the bounds of time-varying delays in continuous dynamic and discrete dynamic are both unknown. Based on the inequality, a class of delayed impulsive controllers is designed to achieve the synchronization of complex networks, where the restriction between impulses interval and time-varying delays is dropped. A numerical example is presented to illustrate the effectiveness of the obtained results.

Authors

  • Zhilu Xu
    School of Mathematics and Statistics, Shandong Normal University, Ji'nan, 250014, PR China.
  • Xiaodi Li
  • Peiyong Duan
    Shandong Key Laboratory of Medical Physics and Image Processing, School of Mathematics and Statistics, Shandong Normal University, Ji'nan, 250014, PR China; School of Information Science and Engineering, Shandong Normal University, Jinan 250014, PR China. Electronic address: duanpeiyong@sdnu.edu.cn.

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