Adaptive Control for Multi-Agent Systems Governed by Fractional-Order Space-Varying Partial Integro-Differential Equations

Zhen Liu, Yingying Wen (), Bin Zhao and Chengdong Yang ()
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Zhen Liu: School of Information Science and Engineering, Linyi University, Linyi 276005, China
Yingying Wen: School of Information Science and Engineering, Linyi University, Linyi 276005, China
Bin Zhao: School of Information Science and Engineering, Linyi University, Linyi 276005, China
Chengdong Yang: School of Information Science and Engineering, Linyi University, Linyi 276005, China

Mathematics, 2024, vol. 13, issue 1, 1-17

Abstract: This paper investigates a class of multi-agent systems (MASs) governed by nonlinear fractional-order space-varying partial integro-differential equations (SVPIDEs), which incorporate both nonlinear state terms and integro terms. Firstly, a distributed adaptive control protocol is developed for leaderless fractional-order SVPIDE-based MASs, aiming to achieve consensus among all agents without a leader. Then, for leader-following fractional-order SVPIDE-based MASs, the protocol is extended to account for communication between the leader and follower agents, ensuring that the followers reach consensus with the leader. Finally, three examples are presented to illustrate the effectiveness of the proposed distributed adaptive control protocols.

Keywords: multi-agent system; adaptive controller; partial integro-differential equations; consensus (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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