Finite-time synchronization of fractional-order complex-valued coupled systems

Yao Xu and Wenxue Li

Physica A: Statistical Mechanics and its Applications, 2020, vol. 549, issue C

Abstract: In this paper, instead of separating the complex-valued system into two real-valued systems, the finite-time synchronization of fractional-order complex-valued coupled systems is investigated for the first time. Compared with other finite-time synchronization control, it should be stressed that an effective and novel controller is firstly designed without the help of sign functions. Moreover, some sufficient conditions are derived on the basis of the graph-theoretic approach and the theory of complex functions. Besides, the settling time of synchronization is estimated which is related to the order of fractional derivative, control parameters and the topological structure of the networks. Finally, two numerical examples are provided to show the feasibility and effectiveness of theoretical results.

Keywords: Fractional derivative; Complex variables; Coupled systems; Finite-time synchronization (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:549:y:2020:i:c:s0378437119321661

DOI: 10.1016/j.physa.2019.123903

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