Pinning synchronization of fractional-order complex networks by a single controller

Authors

  • Qingxiang Fang Xi’an Jiaotong University
  • Jigen Peng Xi’an Jiaotong University

DOI:

https://doi.org/10.21914/anziamj.v58i0.10976

Keywords:

fractional-order complex networks, synchronization, linearly coupled networks, state feedback.

Abstract

We investigate the state feedback pinning synchronization of fractional-order complex networks. Based on the stability theory of fractional-order differential systems and state feedback control by a single controller, synchronization conditions for fractional-order complex networks are given. We assume that the coupling matrix is irreducible, and provide a numerical example to illustrate the validity of the proposed conclusions. doi:10.1017/S1446181117000013

Author Biographies

Qingxiang Fang, Xi’an Jiaotong University

Department of Applied Mathematics, Xi’an Jiaotong University; College of Sciences, China Jiliang University.

Jigen Peng, Xi’an Jiaotong University

Department of Applied Mathematics, Xi’an Jiaotong University; College of Sciences, China Jiliang University.

Published

2017-07-20

Issue

Section

ANZIAM-ZPAMS Joint Meeting