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Calcolo
Erschienen in: Calcolo 4/2016

01.12.2016

A new Legendre operational technique for delay fractional optimal control problems

verfasst von: A. H. Bhrawy, S. S. Ezz-Eldien

Erschienen in: Calcolo | Ausgabe 4/2016

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Abstract

In this paper, new operational matrices for shifted Legendre orthonormal polynomial are derived. This polynomial is used as a basis function for developing a new numerical technique for the delay fractional optimal control problem. The fractional integral is described in the Riemann–Liouville sense, while the fractional derivative is described in the Caputo sense. The operational matrix of fractional integrals is used together with the Lagrange multiplier method for the constrained extremum in order to minimize the performance index. The problem is then reduced to a problem consists of a system of easily solvable algebraic equations. Three numerical examples of different types of delay fractional optimal control problems are implemented with their approximate solutions for confirming the high accuracy and applicability of the proposed method.
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Metadaten
Titel
A new Legendre operational technique for delay fractional optimal control problems
verfasst von
A. H. Bhrawy
S. S. Ezz-Eldien
Publikationsdatum
01.12.2016
Verlag
Springer Milan
Erschienen in
Calcolo / Ausgabe 4/2016
Print ISSN: 0008-0624
Elektronische ISSN: 1126-5434
DOI
https://doi.org/10.1007/s10092-015-0160-1

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