SOLVING THE OPTIMAL CONTROL OF VOLTERRA-FREDHOLM INTEGRO-DIFFERENTIAL EQUATION VIA MUNTZ POLYNOMIALS

被引：0
|
作者：
Negarchi, Neda [1 ]
Zolfegharifar, Sayyed Yaghoub [2 ,3 ]
机构：
[1] Islamic Azad Univ, Dept Math, Najafabad Branch, Najafabad, Iran
[2] South Ural State Univ, Dept Bldg Construct & Struct, Chelyabinsk, Russia
[3] Islamic Azad Univ, Fac Engn, Dept Civil Engn, YASOOJ Branch, Yasuj, Iran
来源：
JORDAN JOURNAL OF MATHEMATICS AND STATISTICS | 2021年 / 14卷 / 03期
关键词：
Optimal control problem; Volterra-Fredholm integro-differential equation; Muntz-Legendre polynomials; Legendre-Gauss-Lobatto points; Legendre-Gauss-Lobatto quadrature; INTEGRAL-EQUATIONS; SYSTEMS;
D O I：
10.47013/14.3.4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The main goal of the current paper is to present a direct numerical method for solving optimal control problem for systems governed by Volterra-Fredholm integro-differential equation. This method is based upon a new form of orthogonal Miintz-Legendre polynomials, and collocation method to transform the optimal control problem to a nonlinear programming problem with finite-dimensional. The accuracy and efficiency of the proposed method are examined with illustrative examples.
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页码：453 / 466
页数：14
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