Finite-time synchronization for different dimensional fractional-order complex dynamical networks

Jiyong Lu, Yanping Guo, Yude Ji and Shuangshuang Fan

Chaos, Solitons & Fractals, 2020, vol. 130, issue C

Abstract: This article is involved with the finite-time synchronization problem between two different dimensional fractional-order complex dynamical networks (FOCDNs). Firstly, the definition of finite-time synchronization for different dimensional FOCDNs are introduced. Under the framework of finite-time control theory and fractional-order Lyapunov functional method, the controller is designed such that the FOCDNs are synchronized in a finite time. Secondly, some unknown parameters are adopted in the FOCDNs, novel adaptive updated control law and dynamical parameter estimation are proposed to guarantee that the finite-time synchronization can be obtained to achieve the desired conclusions. Furthermore, the setting times for synchronization of FOCDNs are explicitly evaluated. Finally, a numerical example is presented to demonstrate the effectiveness of proposed control algorithms.

Keywords: Adaptive update law; Complex Dynamical Networks (CDNs); Fractional-order; Finite-time synchronization; Settling time (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:130:y:2020:i:c:s0960077919303790

DOI: 10.1016/j.chaos.2019.109433

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