Singular Normal Extremals and Conjugate Points for Bolza Functionals

被引：0
作者：
M. Popescu
机构：
[1] Caius Iacob Institute of Applied Mathematics,Department of Dynamical Systems
[2] Romanian Academy of Sciences,undefined
来源：
Journal of Optimization Theory and Applications | 2002年 / 115卷
关键词：
Second variation; Moore–Penrose generalized inverse; conjugate points; singular extremals; abnormal arcs;
D O I：
暂无
中图分类号：
学科分类号：
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：15
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