 Quasi-synchronization of fractional-order heterogeneous dynamical networks via aperiodic intermittent pinning controlShuiming Cai and Meiyuan Hou Chaos, Solitons & Fractals, 2021, vol. 146, issue C Abstract: This paper focuses on the quasi-synchronization problem for fractional-order heterogeneous dynamical networks via aperiodic intermittent pinning control. First, based on the properties of the Mittag–Leffler function, a new fractional-order differential inequality is established. By utilizing the new inequality and Lyapunov function method, a general sufficient condition is then derived to ensure the addressed dynamical networks can achieve global quasi-synchronization through pinning part of the network nodes with simple aperiodic intermittent controllers, which is followed by some easily-verified quasi-synchronization criteria. In addition, the exponential convergence rate and the error bound of the quasi-synchronization are also estimated, respectively. Moreover, a detailed algorithm about how to design suitable aperiodic intermittent pinning controllers is provided. Finally, a numerical example is presented to verify the validity of theoretical analysis. Keywords: Fractional-order; Heterogeneous dynamical networks; Quasi-synchronization; Aperiodic intermittent control; Pinning control (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:146:y:2021:i:c:s0960077921002551 DOI: 10.1016/j.chaos.2021.110901 Access Statistics for this article Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros More articles in Chaos, Solitons & Fractals from Elsevier |
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