Direct transcription methods based on fractional integral approximation formulas for solving nonlinear fractional optimal control problems

•A general class of fractional optimal control problems was considered, which contains the bang-bang, free final time and path constraints problems.•Fractional integration matrices of Grünwald–Letnikov, trapezoidal and Simpson’s formulas are derived.•Using the fractional integration matrix, the frac...

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Bibliographic Details
Published in:	Communications in nonlinear science & numerical simulation Vol. 67; pp. 334 - 350
Main Authors:	Salati, Abubakar Bello, Shamsi, Mostafa, Torres, Delfim F. M.
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier B.V 01.02.2019 Elsevier Science Ltd
Subjects:	Approximation Control systems Direct numerical solution Fractional integration matrix Fractional optimal control Fractions Grünwald–Letnikov HIV Human immunodeficiency virus Integrals Nonlinear control Nonlinear programming Nonlinear systems Numerical analysis Optimal control Performance indices Reliability analysis Trapezoidal and Simpson fractional integral formulas Fractional optimal control Direct numerical solution Grünwald–Letnikov 26A33 Fractional integration matrix 49M25 Trapezoidal and Simpson fractional integral formulas
ISSN:	1007-5704, 1878-7274
Online Access:	Get full text
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