Generalized B-spline functions ‎method‎‎ for solving optimal control problems

نویسندگان

  • Aghileh Heydari Department of Mathematics, Payame Noor University, PO BOX 19395-3697, Tehran, Iran
چکیده مقاله:

‎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

‎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 to‎‎reduce the solution of ocps to the solution of nonlinear optimization problems‎.‎numerical experiments confirm our theoretical findings‎.

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عنوان ژورنال

دوره 2  شماره 4

صفحات  243- 255

تاریخ انتشار 2014-10-01

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