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., & Heydari, A. (2014). Generalized B-spline functions method for solving optimal control problems. Computational Methods for Differential Equations, 2(4), 243-255.
MLA
Yousef Edrisi Tabriz; Aghileh Heydari. "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.
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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