Analysis and discontinuous control for finite-time synchronization of delayed complex dynamical networks

Jiarong Li, Haijun Jiang, Cheng Hu and Juan Yu

Chaos, Solitons & Fractals, 2018, vol. 114, issue C, 291-305

Abstract: This paper addresses the finite-time and fixed-time synchronization issue of delayed complex dynamical networks (CDNs). Firstly, as an important preliminary, an improved and generalized finite-time stability theory is established for delayed nonlinear systems to prove the finite-time synchronization mainly through the reduction to absurdity. Different from some existing results, a more detailed discussion of the setting time function for finite-time synchronization is given. Besides, a novel feedback controller is firstly proposed to unify finite-time and fixed-time synchronization just by adjusting the key control parameter. Furthermore, several new criteria are derived to ensure the finite-time and fixed-time synchronization based on inequality analysis method and constructing appropriate Lyapunov functional. Finally, some numerical simulations are presented to support the theoretical results.

Keywords: Complex dynamical networks; Discontinuous control; Finite-time synchronization; Fixed-time synchronization (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:114:y:2018:i:c:p:291-305

DOI: 10.1016/j.chaos.2018.07.019

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