Fractional Optimal Control Problem for Differential System with Control Constraints

被引：24

作者：

Bahaa, G. M. ^{[1
]}

机构：

[1] Taibah Univ, Fac Sci, Dept Math, Al Madinah Al Munawwarah, Saudi Arabia

来源：

FILOMAT | 2016年 / 30卷 / 08期

关键词：

Fractional optimal control problems; Fractional differential systems; Dirichlet and Neumann conditions; Existence and uniqueness of solutions; Riemann-Liouville sense; Caputo derivative; TIME-OPTIMAL CONTROL; INFINITE NUMBER; PARABOLIC EQUATIONS; FORMULATION; SCHEME;

D O I：

10.2298/FIL1608177B

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the fractional optimal control problem for differential system is considered. The fractional time derivative is considered in Riemann-Liouville sense. Constraints on controls are imposed. Necessary and sufficient optimality conditions for the fractional Dirichlet and Neumann problems with the quadratic performance functional are derived. Some examples are analyzed in details.

引用

页码：2177 / 2189

页数：13

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