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

Hongyue Du

Physica A: Statistical Mechanics and its Applications, 2019, vol. 526, issue C

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.

Keywords: Modified function projective synchronization; Fractional-order; Complex dynamical network; Unknown parameter; External disturbance (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:526:y:2019:i:c:s0378437119306053

DOI: 10.1016/j.physa.2019.04.233

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