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Fuzzy Optimal Control Problem of Several Variables

Author

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  • Altyeb Mohammed Mustafa
  • Zengtai Gong
  • Mawia Osman

Abstract

The purpose of this paper is to establish the necessary conditions for a fuzzy optimal control problem of several variables. Also, we define fuzzy optimal control problems involving isoperimetric constraints and higher order differential equations. Then, we convert these problems to fuzzy optimal control problems of several variables in order to solve these problems using the same solution method. The main results of this paper are illustrated throughout three examples, more specifically, a discussion on the strong solutions (fuzzy solutions) of our problems.

Suggested Citation

  • Altyeb Mohammed Mustafa & Zengtai Gong & Mawia Osman, 2019. "Fuzzy Optimal Control Problem of Several Variables," Advances in Mathematical Physics, Hindawi, vol. 2019, pages 1-12, December.
    • Handle: RePEc:hin:jnlamp:2182640
    DOI: 10.1155/2019/2182640
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    Cited by:

    1. Xin Wang & Zhongyu Wang & Lei Xie & Songlin Wang & Zhongshan Wang & Wenxing Ma, 2024. "Research on the New Hydrostatic Transmission System of Wheel Loaders Based on Fuzzy Sliding Mode Control," Energies, MDPI, vol. 17(3), pages 1-23, January.

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