کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
826142 907904 2015 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Legendre spectral-collocation method for solving some types of fractional optimal control problems
موضوعات مرتبط
مهندسی و علوم پایه شیمی شیمی (عمومی)
پیش نمایش صفحه اول مقاله
Legendre spectral-collocation method for solving some types of fractional optimal control problems
چکیده انگلیسی

In this paper, the Legendre spectral-collocation method was applied to obtain approximate solutions for some types of fractional optimal control problems (FOCPs). The fractional derivative was described in the Caputo sense. Two different approaches were presented, in the first approach, necessary optimality conditions in terms of the associated Hamiltonian were approximated. In the second approach, the state equation was discretized first using the trapezoidal rule for the numerical integration followed by the Rayleigh–Ritz method to evaluate both the state and control variables. Illustrative examples were included to demonstrate the validity and applicability of the proposed techniques.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Advanced Research - Volume 6, Issue 3, May 2015, Pages 393–403
نویسندگان
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