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Research on the synchronization control of fractional-order complex networks based on switching topology

Wenwen Li1, Yutian Ma1

1 School of Mathematics and Statistics, Fuyang Normal University, People’s Republic of China

* Corresponding Author: Yutian Ma (email)

Revista Internacional de Métodos Numéricos para Cálculo y Diseño en Ingeniería 2024, 40(2), 1-6. https://doi.org/10.23967/j.rimni.2024.06.003

Abstract

In the contemporary epoch, bolstered by information technology, the quintessence of networks is ubiquitously manifested, with a plethora of network types—ranging from the Internet, vehicular traffic frameworks, electrical distribution systems, cellular communication matrices, to social interconnection webs—being intricately woven into the fabric of societal functionality and quotidian existence. The domain of complex networks has burgeoned into a fervently pursued research vector, magnetizing an eclectic cohort of investigators from disciplines as variegated as mathematics, biosciences, and engineering. Notably, fractional calculus has eclipsed its integer-order counterpart by offering enhanced precision in the depiction of real-world systems and phenomena. Consequently, the infusion of fractional calculus into the modeling of complex networks, to dissect their dynamic attributes and attendant control paradigms, has crystallized as a research nexus of burgeoning interest, eliciting scholarly discourse at both national and international echelons. [Purpose] This inquiry into the synchronization control of fractional-order complex networks, predicated on switching topology, endeavors to harness said topology as a scaffold for probing the synchronicity inherent within fractional-order complex networks. The objective is to augment the operational efficacy of these networks, broaden their sphere of applicability, and fortify the synchronal linkage amongst fractional-order complex networks and their counterparts. [Method] Predominantly, this exploration is underpinned by a synthesis of bibliographic scrutiny and analytical modeling, employing an extensive compendium of model equations to elucidate the subject matter. The spotlight is cast upon the Caputo fractional-order differential equation, with a focus on assaying the stability traits of its equilibrium junctures and formulating more expansive and pragmatic conditions for stability. In addition, to facilitate the precise estimation of elusive topologies within complex networks, a supplementary network—comprising isolated nodes and a regulatory protocol—is conceptualized. [Results] The findings posit that the investigation into synchronization control, anchored in switching topology, propels the advancement of fractional-order complex networks and holds substantive referential merit. It serves to substantiate, to a certain degree, the postulations of antecedent theorists and chart a trajectory for ensuing scholarly endeavors in cognate domains, thereby perpetually amplifying the pragmatic utility of fractional-order complex networks.

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APA Style
Li, W., Ma, Y. (2024). Research on the synchronization control of fractional-order complex networks based on switching topology. Revista Internacional de Métodos Numéricos para Cálculo y Diseño en Ingeniería, 40(2), 1-6. https://doi.org/10.23967/j.rimni.2024.06.003
Vancouver Style
Li W, Ma Y. Research on the synchronization control of fractional-order complex networks based on switching topology. Rev int métodos numér cálc diseño ing. 2024;40(2):1-6 https://doi.org/10.23967/j.rimni.2024.06.003
IEEE Style
W. Li and Y. Ma, “Research on the synchronization control of fractional-order complex networks based on switching topology,” Rev. int. métodos numér. cálc. diseño ing., vol. 40, no. 2, pp. 1-6, 2024. https://doi.org/10.23967/j.rimni.2024.06.003



cc Copyright © 2024 The Author(s). Published by Tech Science Press.
This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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