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Generalized B-spline functions ‎method‎‎ for solving optimal control problems

Publish Year: 1393
Type: Journal paper
Language: English
View: 181

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Document National Code:

JR_CMDE-2-4_004

Index date: 6 March 2023

Generalized B-spline functions ‎method‎‎ for solving optimal control problems abstract

‎In this paper we introduce a numerical approach that solves optimal control problems (OCPs) ‎using collocation methods‎. ‎This approach is based upon B-spline functions‎. ‎The derivative matrices between any two families of B-spline functions are utilized to‎ ‎reduce the solution of OCPs to the solution of nonlinear optimization problems‎. ‎Numerical experiments confirm our heoretical findings‎.

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Generalized B-spline functions ‎method‎‎ for solving optimal control problems authors

Yousef Edrisi Tabriz

Department of Mathematics, Payame Noor University, PO BOX ۱۹۳۹۵-۳۶۹۷, Tehran, Iran

Aghileh Heydari

Department of Mathematics, Payame Noor University, PO BOX ۱۹۳۹۵-۳۶۹۷, Tehran, Iran