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Control and synchronization of hyperchaos in digital manufacturing supply chain

Author

Listed:
  • Yan, Lizhao
  • Liu, Jian
  • Xu, Fei
  • Teo, Kok Lay
  • Lai, Mingyong

Abstract

In this paper, we construct a mathematical model for a supply chain with computer aided digital manufacturing process. We show that the model exhibits various complicated behaviors including chaotic attractors. A stabilizing linear feedback controller is designed to stabilize the supply chain system. We move on to develop an active controller to synchronize two such systems. The design methodologies are based on Lyapunov stability theory. By simulating the model numerically, we observe the chaotic behaviours of the model. We find that the system has chaotic behaviours over a wide range of the values of the system parameters. The numerical results obtained demonstrate the effectiveness of the designed controllers. Our study reveals the interactions between the production and demand, in which the computer aided design plays an important role.

Suggested Citation

  • Yan, Lizhao & Liu, Jian & Xu, Fei & Teo, Kok Lay & Lai, Mingyong, 2021. "Control and synchronization of hyperchaos in digital manufacturing supply chain," Applied Mathematics and Computation, Elsevier, vol. 391(C).
    • Handle: RePEc:eee:apmaco:v:391:y:2021:i:c:s0096300320306007
    DOI: 10.1016/j.amc.2020.125646
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    References listed on IDEAS

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    1. Umble, Elisabeth J. & Haft, Ronald R. & Umble, M. Michael, 2003. "Enterprise resource planning: Implementation procedures and critical success factors," European Journal of Operational Research, Elsevier, vol. 146(2), pages 241-257, April.
    2. Nickel, Stefan & Saldanha-da-Gama, Francisco & Ziegler, Hans-Peter, 2012. "A multi-stage stochastic supply network design problem with financial decisions and risk management," Omega, Elsevier, vol. 40(5), pages 511-524.
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    Cited by:

    1. Qing Ding & Oumate Alhadji Abba & Hadi Jahanshahi & Madini O. Alassafi & Wen-Hua Huang, 2022. "Dynamical Investigation, Electronic Circuit Realization and Emulation of a Fractional-Order Chaotic Three-Echelon Supply Chain System," Mathematics, MDPI, vol. 10(4), pages 1-15, February.
    2. Ahmad, Israr, 2021. "A Lyapunov-based direct adaptive controller for the suppression and synchronization of a perturbed nuclear spin generator chaotic system," Applied Mathematics and Computation, Elsevier, vol. 395(C).

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