Singular normal extremals and conjugate points for Bolza functionals

被引：4
|
作者：
Popescu, M [1 ]
机构：
[1] Romanian Acad Sci, Caius Iacob Inst Appl Mech, Dept Dynam Syst, Bucharest, Romania
来源：
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2002年 / 115卷 / 02期
关键词：
second variation; Moore-Penrose generalized inverse; conjugate points; singular extremals; abnormal arcs;
D O I：
10.1023/A:1020832020619
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：
In this paper, we study the problem of the optimal control for Bolza functionals by investigating extremals containing singular arcs. We use the Moore-Penrose generalized inverse, which allows one to determine normality criteria and sufficient conditions for the nonexistence of conjugate points.
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页码：267 / 282
页数：16
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