Fractional PI pinning synchronization of fractional complex dynamical networks

Toopchi, Y, Jalili, M, Sadati, J and Wang, J 2019, 'Fractional PI pinning synchronization of fractional complex dynamical networks', Journal of Computational and Applied Mathematics, vol. 347, pp. 357-368.


Document type: Journal Article
Collection: Journal Articles

Title Fractional PI pinning synchronization of fractional complex dynamical networks
Author(s) Toopchi, Y
Jalili, M
Sadati, J
Wang, J
Year 2019
Journal name Journal of Computational and Applied Mathematics
Volume number 347
Start page 357
End page 368
Total pages 12
Publisher Elsevier BV
Abstract A novel method for synchronization of fractional order complex dynamical networks using a new fractional Proportional-Integral (PI) pinning control scheme is presented in this paper. Stability of this network is proved via the Lyapunov stability theorem, and the synchronizability criterion is obtained. Although one can also design a proportional pinning control scheme to synchronize the whole network, our proposed fractional PI control is more efficient. Numerical simulations on Lorenz oscillator's interaction over a sample network have shown that the proposed fractional PI controller can provide a faster synchronization with less overshoot to the reference state compared to conventional proportional controller with the same power consumption
Subject Control Systems, Robotics and Automation
Computer Communications Networks
Keyword(s) Fractional complex dynamical network
Synchronisation
Fractional-order proportional-integral control
Pinning control
DOI - identifier 10.1016/j.cam.2018.08.016
Copyright notice © 2018 Elsevier B.V.
ISSN 0377-0427
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