The Necessary Conditions of Fractional Optimal Control in the Sense of Caputo

被引：58

作者：

Guo, Tian Liang ^{[1
]}

机构：

[1] Anhui Univ, Sch Math Sci, Hefei 230039, Anhui, Peoples R China

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2013年 / 156卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Fractional dynamic system; Optimal control; Necessary conditions; Calculus of variations; CALCULUS; EQUATIONS; DYNAMICS;

D O I：

10.1007/s10957-012-0233-0

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

This paper deals with the optimal control problem of a fractional dynamic system in the sense of Caputo. The main result of this paper gives a second order necessary optimality condition for fractional optimal control problems, which has not been discussed before. An application is introduced to explain our main results.

引用

页码：115 / 126

页数：12

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