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Robustness of operational matrices of differentiation for solving state-space analysis and optimal control problems


Citation

Tohidi, Emran and Soleymani, Fazlollah and Kilicman, Adem (2013) Robustness of operational matrices of differentiation for solving state-space analysis and optimal control problems. Abstract and Applied Analysis, 2013. art. no. 535979. pp. 1-9. ISSN 1085-3375; ESSN: 1687-0409

Abstract

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.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
DOI Number: https://doi.org/10.1155/2013/535979
Publisher: Hindawi Publishing Corporation
Keywords: Operational matrices; State-space analysis; Optimal control problems
Depositing User: Umikalthom Abdullah
Date Deposited: 26 Aug 2014 05:06
Last Modified: 20 Oct 2017 03:24
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2013/535979
URI: http://psasir.upm.edu.my/id/eprint/30203
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