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

Author

Listed:
  • Masoumeh Firouzjahi
  • Bashir Naderi
  • Yousef Edrisi Tabriz

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.

Suggested Citation

  • Masoumeh Firouzjahi & Bashir Naderi & Yousef Edrisi Tabriz, 2022. "The Consensus of Different Fractional‐Order Chaotic Multiagent Systems Using Adaptive Protocols," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jjmath:v:2022:y:2022:i:1:n:5129072
    DOI: 10.1155/2022/5129072
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    References listed on IDEAS

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    1. Kachia, Krunal & Solís-Pérez, J.E. & Gómez-Aguilar, J.F., 2020. "Chaos in a three-cell population cancer model with variable-order fractional derivative with power, exponential and Mittag-Leffler memories," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
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