Projective synchronization via adaptive pinning control for fractional-order complex network with time-varying coupling strength

Darui Zhu, Rui Wang (), Chongxin Liu () and Jiandong Duan ()
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Darui Zhu: School of Automation and Information Engineering, Xi’an University of Technology, Xi’an 710048, P. R. China†School of Electrical Engineering, Xi’an Jiaotong University, Xi’an 710049, P. R. China
Rui Wang: School of Automation and Information Engineering, Xi’an University of Technology, Xi’an 710048, P. R. China
Chongxin Liu: #x2020;School of Electrical Engineering, Xi’an Jiaotong University, Xi’an 710049, P. R. China
Jiandong Duan: School of Automation and Information Engineering, Xi’an University of Technology, Xi’an 710048, P. R. China

International Journal of Modern Physics C (IJMPC), 2019, vol. 30, issue 07, 1-12

Abstract: This paper presents an adaptive projective pinning control method for fractional-order complex network. First, based on theories of complex network and fractional calculus, some preliminaries of mathematics are given. Then, an analysis is conducted on the adaptive projective pinning control theory for fractional-order complex network. Based on the projective synchronization control method and the combined adaptive pinning feedback control method, suitable projection synchronization scale factor, adaptive feedback controller and the node selection algorithm are designed to illustrate the synchronization for fractional-order hyperchaotic complex network. Simulation results show that all nodes are stabilized to equilibrium point. Theoretical analysis and simulation results demonstrate that the designed adaptive projective pinning controllers are efficient.

Keywords: Projective synchronization; adaptive pinning control; time-varying coupling strength; fractional-order complex network (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1142/S0129183119400138

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