Numerical solutions for constrained time-delayed optimal control problems

被引：1
|
作者：
El-Kady, M. [1 ]
Elbarbary, Elsayed M. E. [2 ]
机构：
[1] S Valley Univ, Fac Sci, Dept Math, Aswan, Egypt
[2] Ain Shams Univ, Fac Sci, Dept Math, Cairo, Egypt
来源：
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2008年 / 85卷 / 11期
关键词：
delayed differential equation; spectral methods; El-gendi method; differentiation matrix; optimal control;
D O I：
10.1080/00207160701542048
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, time-delayed optimal control problems governed by delayed differential equation are solved. Two different techniques based on integration and differentiation matrices are considered. The time-delayed term of the problem has been approximated by Chebyshev interpolating polynomials. On this basis, the optimal control problem can be solved as a mathematical programming problem. The example illustrates the robustness, accuracy and efficiency of the proposed numerical techniques.
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页码：1649 / 1671
页数：23
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