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Generalized B-spline functions method for solving optimal control problems | ||
| Computational Methods for Differential Equations | ||
| مقاله 4، دوره 2، شماره 4، دی 2014، صفحه 243-255 اصل مقاله (1.99 M) | ||
| نوع مقاله: Research Paper | ||
| نویسندگان | ||
| Yousef Edrisi Tabriz* ؛ Aghileh Heydari | ||
| Department of Mathematics, Payame Noor University, PO BOX 19395-3697, Tehran, Iran | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Optimal control problem؛ B-spline functions؛ Derivative matrix؛ Collocation method | ||
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