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Modified function projective synchronization between two fractional-order complex dynamical networks with unknown parameters and unknown bounded external disturbances

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  • Du, Hongyue

Abstract

This paper investigates the problem of modified function projective synchronization between two fractional-order complex dynamical networks with unknown parameters and unknown bounded external disturbances. Based on the stability theory of fractional-order differential system, a new robust adaptive control scheme is designed to achieve modified function projective synchronization for two fractional-order complex dynamical networks, which is able to estimate all unknown parameters and attenuate all random uncertainties of the fractional-order complex dynamical networks. Moreover, there is no need to know the norm-bounds of all random uncertainties, and the compensator gains can be automatically adapted to suitable constants. Numerical examples are provided to show the effectiveness of proposed methods.

Suggested Citation

  • Du, Hongyue, 2019. "Modified function projective synchronization between two fractional-order complex dynamical networks with unknown parameters and unknown bounded external disturbances," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 526(C).
    • Handle: RePEc:eee:phsmap:v:526:y:2019:i:c:s0378437119306053
    DOI: 10.1016/j.physa.2019.04.233
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    Cited by:

    1. Mingcong Zhou & Zhaoyan Wu, 2021. "Structure Identification of Fractional-Order Dynamical Network with Different Orders," Mathematics, MDPI, vol. 9(17), pages 1-11, August.
    2. Aadhithiyan, S. & Raja, R. & Zhu, Q. & Alzabut, J. & Niezabitowski, M. & Lim, C.P., 2021. "Modified projective synchronization of distributive fractional order complex dynamic networks with model uncertainty via adaptive control," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).

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