Shifted Chebyshev Schemes for Solving Fractional Optimal Control Problems
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Date
2019
Journal Title
Journal ISSN
Volume Title
Publisher
Sage Publications Ltd
Open Access Color
Green Open Access
No
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Publicly Funded
No
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Impulse
Top 10%
Influence
Top 10%
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Top 10%
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.
Description
Moussa, Hanaa/0000-0001-9181-0284; Abdelhakem, Mohamed/0000-0001-7085-1685
Keywords
Fractional Optimal Control Problems, Shifted Chebyshev Polynomials, Fractional Derivative, Differentiation And Integration Matrices Mathematics Subject Classification
Fields of Science
0103 physical sciences, 0101 mathematics, 01 natural sciences
Citation
Abdelhakem, M...et al. (2019). "Shifted Chebyshev schemes for solving fractional optimal control problems", Journal of Vibration and Control, Vol. 25, No. 15, pp. 2143-2150.
WoS Q
Q2
Scopus Q
Q2
OpenCitations Citation Count
32
Source
Journal of Vibration and Control
Volume
25
Issue
15
Start Page
2143
End Page
2150
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Citations
CrossRef : 30
Scopus : 35
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Mendeley Readers : 5
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39
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Web of Science™ Citations
34
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1
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