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An efficient method for a variety of fractional time-delay optimal control problems with fractional performance indices

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Abstract

New formulations of fractional optimal control problems with constant Riemann–Liouville performance indices are presented. Using the basic working tool in the applied optimization problems, the method of solution for the fractional linear quadratic optimal control problems of the fractional systems with multiple delays is presented. Then, a new method for the fractional nonlinear optimal control problems is introduced. A wide variety of the fractional time-delay optimal control problems are considered to show applicability of the methods. New types of some industrial problems having constant Riemann–Liouville performance indices are investigated. The constant Riemann–Liouville integration operational matrices of Chebyshev and Legendre wavelets are introduced for the first time.

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Notes

  1. Note that ”lw” and ”cw” refer to Legendre and Chebyshev wavelets and ”w” refers to both wavelets.

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The author would like to thank Editor and Reviewers for all helpful suggestions and comments on this article.

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The author: Iman Malmir, did not receive support (funding) from any organization for the submitted work.

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  1. Aerospace and Mechanical Engineering Group, Ronin Institute, Montclair, 07043, NJ, USA

    Iman Malmir

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Malmir, I. An efficient method for a variety of fractional time-delay optimal control problems with fractional performance indices. Int. J. Dynam. Control 11, 2886–2910 (2023). https://doi.org/10.1007/s40435-023-01113-9

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