Numerical Solution of Some Types of Fractional Optimal Control Problems
Joint Authors
Al-Ajami, Tamer Mostafa
Hoppe, Ronald H. W.
Sweilam, Nasser Hassan
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-09
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
We present two different approaches for the numerical solution of fractional optimal control problems (FOCPs) based on a spectral method using Chebyshev polynomials.
The fractional derivative is described in the Caputo sense.
The first approach follows the paradigm “optimize first, then discretize” and relies on the approximation of the necessary optimality conditions in terms of the associated Hamiltonian.
In the second approach, the state equation is discretized first using the Clenshaw and Curtis scheme for the numerical integration of nonsingular functions followed by the Rayleigh-Ritz method to evaluate both the state and control variables.
Two illustrative examples are included to demonstrate the validity and applicability of the suggested approaches.
American Psychological Association (APA)
Sweilam, Nasser Hassan& Al-Ajami, Tamer Mostafa& Hoppe, Ronald H. W.. 2013. Numerical Solution of Some Types of Fractional Optimal Control Problems. The Scientific World Journal،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-1032768
Modern Language Association (MLA)
Sweilam, Nasser Hassan…[et al.]. Numerical Solution of Some Types of Fractional Optimal Control Problems. The Scientific World Journal No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-1032768
American Medical Association (AMA)
Sweilam, Nasser Hassan& Al-Ajami, Tamer Mostafa& Hoppe, Ronald H. W.. Numerical Solution of Some Types of Fractional Optimal Control Problems. The Scientific World Journal. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-1032768
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1032768