Generalized B-spline functions method for solving optimal control problems
عنوان مقاله: Generalized B-spline functions method for solving optimal control problems
شناسه ملی مقاله: JR_CMDE-2-4_004
منتشر شده در در سال 1393
شناسه ملی مقاله: JR_CMDE-2-4_004
منتشر شده در در سال 1393
مشخصات نویسندگان مقاله:
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
خلاصه مقاله:
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
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.
کلمات کلیدی: Optimal control problem, B-spline functions, Derivative matrix, Collocation method
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1616451/