Dynamic Event-Triggered Consensus for Fractional-Order Multi-Agent Systems without Intergroup Balance Condition

This paper deals with the problem of group consensus for a fractional-order multi-agent system (FOMAS) without considering the intergroup balance condition. By adopting a dynamic event-triggered mechanism, the updating frequency of control input is significantly reduced while the consensus performan...

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Bibliographic Details
Published inFractal and fractional Vol. 7; no. 3; p. 268
Main Authors Xu, Bingrui, Li, Bing
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.03.2023
Subjects
Communication
dynamic event-triggered mechanism
Dynamical systems
Eigenvalues
Fractional calculus
fractional-order multi-agent systems
leader–follower group consensus
Liapunov direct method
Multiagent systems
Protocol
Stability analysis
Zeno behavior
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Summary:This paper deals with the problem of group consensus for a fractional-order multi-agent system (FOMAS) without considering the intergroup balance condition. By adopting a dynamic event-triggered mechanism, the updating frequency of control input is significantly reduced while the consensus performance is maintained. By utilizing the Lyapunov direct method and the properties of a fractional-order derivative, several novel criteria are presented for analyzing the Mittag–Leffler stability of error systems and excluding the Zeno behavior in the triggering mechanism. An example and its simulations are demonstrated to prove the validity of the theoretical results.
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ISSN:2504-3110
2504-3110
DOI:10.3390/fractalfract7030268