On comparison between iterative methods for solving nonlinear optimal control problems
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Date
2016
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Sage Publications LTD
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Abstract
Recently some semi-analytical methods have been introduced for solving a class of nonlinear optimal control problems such as the Adomian decomposition method, homotopy perturbation method and modified variational iteration method. In this manuscript we compare these methods for solving a type of nonlinear optimal control problem. We prove that these methods are equivalent, which means that they use the same iterative formula to obtain the approximate/analytical solution.
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Keywords
Nonlinear Optimal Control Problem, Adomian Decomposition Methods, Homotopy Perturbation Method, Pontryagin's Maximum Principle, Variational Homotopy Perturbation Method
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Citation
Jafari, Hossein; Ghasempour, Saber; Baleanu, Dumitru, "On comparison between iterative methods for solving nonlinear optimal control problems", Journal of Vibration and Control, Vol. 22, No. 9, pp. 2281-2287, (2016).
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Source
Journal of Vibration and Control
Volume
22
Issue
9
Start Page
2281
End Page
2287