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Robustness of Operational Matrices of Differentiation for Solving State-Space Analysis and Optimal Control Problems
Joint Authors
Soleymani, Fazlollah
Tohidi, Emran
Kiliçman, Adem
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-04
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The idea of approximation by monomials together with the collocation technique over a uniform mesh for solving state-space analysis and optimal control problems (OCPs) has been proposed in this paper.
After imposing the Pontryagins maximum principle to the main OCPs, the problems reduce to a linear or nonlinear boundary value problem.
In the linear case we propose a monomial collocation matrix approach, while in the nonlinear case, the general collocation method has been applied.
We also show the efficiency of the operational matrices of differentiation with respect to the operational matrices of integration in our numerical examples.
These matrices of integration are related to the Bessel, Walsh, Triangular, Laguerre, and Hermite functions.
American Psychological Association (APA)
Tohidi, Emran& Soleymani, Fazlollah& Kiliçman, Adem. 2013. Robustness of Operational Matrices of Differentiation for Solving State-Space Analysis and Optimal Control Problems. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-479475
Modern Language Association (MLA)
Tohidi, Emran…[et al.]. Robustness of Operational Matrices of Differentiation for Solving State-Space Analysis and Optimal Control Problems. Abstract and Applied Analysis No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-479475
American Medical Association (AMA)
Tohidi, Emran& Soleymani, Fazlollah& Kiliçman, Adem. Robustness of Operational Matrices of Differentiation for Solving State-Space Analysis and Optimal Control Problems. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-479475
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-479475