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Shifted Chebyshev schemes for solving fractional optimal control problems.

Authors :
Abdelhakem, M
Moussa, H
Baleanu, D
El-Kady, M
Source :
Journal of Vibration & Control; Aug2019, Vol. 25 Issue 15, p2143-2150, 8p
Publication Year :
2019

Abstract

Two schemes to find approximated solutions of optimal control problems of fractional order (FOCPs) are investigated. Integration and differentiation matrices were used in these schemes. These schemes used Chebyshev polynomials in the shifted case as a functional approximation. The target of the presented schemes is to convert such problems to optimization problems (OPs). Numerical examples are included, showing the strength of the schemes. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
FRACTIONAL programming

Details

Language :
English
ISSN :
10775463
Volume :
25
Issue :
15
Database :
Complementary Index
Journal :
Journal of Vibration & Control
Publication Type :
Academic Journal
Accession number :
137989576
Full Text :
https://doi.org/10.1177/1077546319852218