Finite time convergence of pinning synchronization with a single nonlinear controller.

Journal: Neural networks : the official journal of the International Neural Network Society
Published Date: Jun 12, 2021

Abstract

In this paper, we discuss distributive synchronization of complex networks in finite time, with a single nonlinear pinning controller. The results apply to heterogeneous dynamic networks, too. Different from many models, which assume the coupling matrix being symmetric (or the connecting graph is undirected), here, the coupling matrix is asymmetric (or the connecting graph is directed).

Authors

  • Tianping Chen
    School of Computer Sciences, Fudan University, People's Republic of China. Electronic address: tchen@fudan.edu.cn.
  • Wenlian Lu
    Centre for Computational Systems Biology, Fudan University, People's Republic of China; School of Mathematical Sciences, Fudan University, People's Republic of China. Electronic address: wenlian@fudan.edu.cn.
  • Xiwei Liu
    Department of Computer Science and Technology, Tongji University, The Key Laboratory of Embedded System and Service Computing, Ministry of Education, Shanghai 200092, China. Electronic address: xwliu@tongji.edu.cn.

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