On the numerical solution of optimal control problems via Bell polynomials basis

Autor:	M.R. Dadashi, A.R. Haghighi, F. Soltanian, A. Yari
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	optimal control problems bell polynomial best approximation operational matrix of derivative Applied mathematics. Quantitative methods T57-57.97
Zdroj:	Iranian Journal of Numerical Analysis and Optimization, Vol 10, Iss 2, Pp 197-221 (2020)
Druh dokumentu:	article
ISSN:	2423-6977 2423-6969
DOI:	10.22067/ijnao.v10i2.86884
Popis:	We present a new numerical approach to solve the optimal control problems (OCPs) with a quadratic performance index. Our method is based on the Bell polynomials basis. The properties of Bell polynomials are explained. We also introduce the operational matrix of derivative for Bell polynomials. The chief feature of this matrix is reducing the OCPs to an optimization problem. Finally, we discuss the convergence of the new technique and present some illustrative examples to show the effectiveness and applicability of the proposed scheme. Comparison of the proposed method with other previous methods shows that this method is accurate.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/a4265f0fc2b1488fb2b58a780f4d8f9a Zobrazit plný text záznamu View record in DOAJ