The Consensus of Different Fractional-Order Chaotic Multiagent Systems Using Adaptive Protocols

Masoumeh Firouzjahi, Bashir Naderi, Yousef Edrisi Tabriz and Ndolane Sene

Journal of Mathematics, 2022, vol. 2022, 1-10

Abstract: This paper is concerned with the adaptive consensus problem of incommensurate chaotic fractional order multiagent systems. Firstly, we introduce fractional-order derivative in the sense of Caputo and the classical stability theorem of linear fractional order systems; also, algebraic graph theory and sufficient conditions are presented to ensure the consensus for fractional multiagent systems. Furthermore, adaptive protocols of each agent using local information are designed and a detailed analysis of the leader-following consensus is presented. Finally, some numerical simulation examples are also given to show the effectiveness of the proposed results.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:5129072

DOI: 10.1155/2022/5129072

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