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

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  • Masoumeh Firouzjahi
  • Bashir Naderi
  • Yousef Edrisi Tabriz
  • Ndolane Sene

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 & Ndolane Sene, 2022. "The Consensus of Different Fractional-Order Chaotic Multiagent Systems Using Adaptive Protocols," Journal of Mathematics, Hindawi, vol. 2022, pages 1-10, January.
    • Handle: RePEc:hin:jjmath:5129072
    DOI: 10.1155/2022/5129072
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