Numerical Solution of a Class of Nonlinear Optimal Control Problems

被引：0

作者：

Alavi, S. A. Saeed ^{[1
]}

Heydari, Aghileh ^{[1
]}

机构：

[1] Payame Noor Univ, Dept Math, Tehran, Iran

来源：

MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES | 2015年 / 9卷 / 02期

关键词：

two-point boundary value problems; spectral methods; parametric iteration method; direct and indirect approaches;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, a numerical approach for solving a class of nonlinear optimal control problems is presented. This approach is a combination of a spectral collocation method and the parametric iteration method. As will be shown, the proposed indirect strategy provides good approximations of all variables i.e. control, state and costate as opposed to the many direct methods. Several examples are considered to assess the accuracy and features of the presented method.

引用

页码：259 / 275

页数：17

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