Journal Article


Delay-Dependent Stability Region for the Distributed Coordination of Delayed Fractional-Order Multi-Agent Systems

Abstract

Delay and especially delay in the transmission of agents’ information, is one of the most important causes of disruption to achieving consensus in a multi-agent system. This paper deals with achieving consensus in delayed fractional-order multi-agent systems (FOMAS). The aim in the present note is to find the exact maximum allowable delay in a FOMAS with non-uniform delay, i.e., the case in which the interactions between agents are subject to non-identical communication time-delays. By proving a stability theorem, the results available for non-delayed networked fractional-order systems are extended for the case in which interaction links have nonequal communication time-delays. In this extension by considering a time-delay coordination algorithm, necessary and sufficient conditions on the time delays and interaction graph are presented to guarantee the coordination. In addition, the delay-dependent stability region is also obtained. Finally, the dependency of the maximum allowable delay on two parameters, the agent fractional-order and the largest eigenvalue of the graph Laplacian matrix, is exactly determined. Numerical simulation results are given to confirm the proposed methodologies.

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Authors

Koochakzadeh, Abbasali
Naderi Soorki, Mojtaba
Azizi, Aydin
Mohammadsharifi, Kamran
Riazat, Mohammadreza

Oxford Brookes departments

School of Engineering, Computing and Mathematics

Dates

Year of publication: 2023
Date of RADAR deposit: 2023-06-29


Creative Commons License This work is licensed under a Creative Commons Attribution 4.0 International License


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