Finite time event-triggered consensus of variable-order fractional multi-agent systems

Ruihong Li, Xingxin Li, Qintao Gan, Huaiqin Wu and Jinde Cao

Chaos, Solitons & Fractals, 2023, vol. 174, issue C

Abstract: This paper focuses on the finite time consensus issue for variable-order fractional multi-agent systems (FMASs), where each agent is characterized by the piecewise-smooth systems. Firstly, the new variable-order fractional difference inequality and finite time stability theorem are developed, which greatly extend some existing results. Secondly, a distributed control protocol is presented, where a new triggering function and an internal dynamic variable are constructed for designing the dynamic event-triggered mechanism (DETM) to enlarge average event execution times and reduce the consumption of system resources. Thirdly, based on the developed variable-order fractional inequalities and finite time stability theorem, the considered systems achieve consensus within a finite time. Furthermore, it is proved that the Zeno phenomenon do not occur. Finally, the circuit realization approach for the designed control protocol is proposed and simulation results are provided to verify the correctness of theoretical analysis.

Keywords: Multi-agent systems; Variable-order fractional operators; Consensus; Finite time stability; Dynamic event-triggered mechanism (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:174:y:2023:i:c:s0960077923006781

DOI: 10.1016/j.chaos.2023.113777

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