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

被引：60
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
收藏
页码：115 / 126
页数：12
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