New complex projective synchronization strategies for drive-response networks with fractional complex-variable dynamics

Quan Xu, Xiaohui Xu, Shengxian Zhuang, Jixue Xiao, Chunhua Song and Chang Che

Applied Mathematics and Computation, 2018, vol. 338, issue C, 552-566

Abstract: This paper presents a fully decentralized adaptive scheme to solve the open problem of complex projective synchronization (CPS) in drive-response fractional complex-variable networks (DRFCVNs). Based on local mismatch with the desired state and between coupled nodes, several novel fully decentralized fractional adaptive (FDFA) strategies are proposed to adjust both the feedback control strengths and the coupling weights. By employing Hermitian form Lyapunov functionals and other fractional skills, some sufficient criteria are provided for CPS. Numerical simulation examples are finally employed to illustrate the efficiency of the new synchronization strategies.

Keywords: Fractional calculus; Complex-variable; Complex projective synchronization; Drive-response networks; Fully decentralized adaptive; Hermitian form Lyapunov functionals (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:338:y:2018:i:c:p:552-566

DOI: 10.1016/j.amc.2018.06.055

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