Fixed/Prescribed-time synchronization of multi-layer complex networks under switching control

Tingting Zhao, Cheng Hu, Jie Huang and Juan Yu

Chaos, Solitons & Fractals, 2024, vol. 185, issue C

Abstract: The fixed/preassigned time (FT/PT) synchronization issue of multi-layer networks via a discontinuous control strategy is addressed in this paper. Firstly, the inventiveness FT theorem is established, and a precise estimation of setting time is given by employing mathematical induction, proof by contradiction, and maximum value theory. Subsequently, based on the FT stability results, several FT synchronization criteria for multi-layer networks are proposed by designing a periodically switching protocol. Additionally, the topological connectivity constraints are eliminated through the implementation of synchronized states as virtual nodes. Correspondingly, the PT synchronization issue is investigated by developing several extraordinary control strategies in which the control gains are finite. Ultimately, the feasibility of the developed control design and the established criteria is illustrated by two numerical examples.

Keywords: Periodically switching control; Multi-layer networks; Fixed-time synchronization; Preassigned-time synchronization (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:185:y:2024:i:c:s0960077924007355

DOI: 10.1016/j.chaos.2024.115183

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