Department of Mathematics, Payame Noor University, PO BOX 19395-3697, Tehran, Iran
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.
Edrisi Tabriz, Y. and Heydari, A. (2014). Generalized B-spline functions method for solving optimal control problems. Computational Methods for Differential Equations, 2(4), 243-255.
MLA
Edrisi Tabriz, Y. , and Heydari, A. . "Generalized B-spline functions method for solving optimal control problems", Computational Methods for Differential Equations, 2, 4, 2014, 243-255.
HARVARD
Edrisi Tabriz, Y., Heydari, A. (2014). 'Generalized B-spline functions method for solving optimal control problems', Computational Methods for Differential Equations, 2(4), pp. 243-255.
CHICAGO
Y. Edrisi Tabriz and A. Heydari, "Generalized B-spline functions method for solving optimal control problems," Computational Methods for Differential Equations, 2 4 (2014): 243-255,
VANCOUVER
Edrisi Tabriz, Y., Heydari, A. Generalized B-spline functions method for solving optimal control problems. Computational Methods for Differential Equations, 2014; 2(4): 243-255.
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