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Dynamical Investigation And Distributed Consensus Tracking Control Of A Variable-Order Fractional Supply Chain Network Using A Multi-Agent Neural Network-Based Control Method

Author

Listed:
  • TIAN-CHUAN SUN

    (Public Teaching and Research Department, Huzhou College, Huzhou 313000, P. R. China)

  • AMIN YOUSEFPOUR

    (��Department of Mechanical and Aerospace Engineering, University of California, Irvine, CA 92697, USA)

  • YELIZ KARACA

    (��University of Massachusetts Medical School, Worcester, MA 01655, USA)

  • MADINI O. ALASSAFI

    (�Department of Information Technology, Faculty of Computing and Information Technology, King Abdulaziz University, Jeddah, Saudi Arabia)

  • ADIL M. AHMAD

    (�Department of Information Technology, Faculty of Computing and Information Technology, King Abdulaziz University, Jeddah, Saudi Arabia)

  • YONG-MIN LI

    (�Department of Mathematics, Huzhou University, Huzhou 313000, P. R. China∥Institute for Advanced Study Honoring Chen Jian Gong, Hangzhou Normal University, Hangzhou 311121, P. R. China)

Abstract

In today’s sophisticated global marketplace, supply chains are complex nonlinear systems in the presence of different types of uncertainties, including supply-demand and delivery uncertainties. Though up to now, some features of these systems are studied, there are still many aspects of these systems which need more attention. This necessitates more research studies on these systems. Hence, in this study, we propose a variable-order fractional supply chain network. The dynamic of the system is investigated using the Lyapunov exponent and bifurcation diagram. It is demonstrated that a minor change in the system’s fractional-derivative may dramatically affect its behavior. Then, distributed consensus tracking of the multi-agent network is studied. To this end, a control technique based on the sliding concept and Chebyshev neural network estimator is offered. The system’s stability is demonstrated using the Lyapunov stability theorem and Barbalat’s lemma. Finally, through numerical results, the proposed controller’s excellent performance for distributed consensus tracking of multi-agent supply chain network is demonstrated.

Suggested Citation

  • Tian-Chuan Sun & Amin Yousefpour & Yeliz Karaca & Madini O. Alassafi & Adil M. Ahmad & Yong-Min Li, 2022. "Dynamical Investigation And Distributed Consensus Tracking Control Of A Variable-Order Fractional Supply Chain Network Using A Multi-Agent Neural Network-Based Control Method," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(05), pages 1-13, August.
    • Handle: RePEc:wsi:fracta:v:30:y:2022:i:05:n:s0218348x22401685
    DOI: 10.1142/S0218348X22401685
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