Shifted Chebyshev schemes for solving fractional optimal control problems

被引：33

作者：

Abdelhakem, M. ^{[1
,2
]}

Moussa, H. ^{[2
]}

Baleanu, D. ^{[3
,4
]}

El-Kady, M. ^{[1
,2
]}

机构：

[1] Helwan Univ, Math Dept, Fac Sci, Cairo, Egypt

[2] Canadian Int Coll, New Cairo, Egypt

[3] Cankaya Univ, Dept Math, Etimesgut, Turkey

[4] Inst Space Sci, Magurele, Romania

来源：

JOURNAL OF VIBRATION AND CONTROL | 2019年 / 25卷 / 15期

关键词：

Fractional optimal control problems; shifted Chebyshev polynomials; fractional derivative; differentiation and integration matrices Mathematics Subject Classification; OPERATIONAL MATRIX; NUMERICAL-SOLUTION; CALCULUS; ORDER;

D O I：

10.1177/1077546319852218

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

Two schemes to find approximated solutions of optimal control problems of fractional order (FOCPs) are investigated. Integration and differentiation matrices were used in these schemes. These schemes used Chebyshev polynomials in the shifted case as a functional approximation. The target of the presented schemes is to convert such problems to optimization problems (OPs). Numerical examples are included, showing the strength of the schemes.

引用

页码：2143 / 2150

页数：8

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