Normality and Nondegeneracy for Optimal Control Problems with State Constraints

被引：0
作者：
Fernando A. C. C. Fontes
Hélène Frankowska
机构：
[1] Universidade do Porto,SYSTEC
[2] Sorbonne Universits,ISR, Faculdade de Engenharia
[3] UPMC Univ Paris 06,CNRS, IMJ
[4] Univ Paris Diderot,PRG, UMR 7586
来源：
Journal of Optimization Theory and Applications | 2015年 / 166卷
关键词：
Optimal control; Maximum principle; State constraints; Constraint qualifications; Normality; Degeneracy; Nonsmooth analysis; Oriented distance; 49K15;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we investigate normal and nondegenerate forms of the maximum principle for optimal control problems with state constraints. We propose new constraint qualifications guaranteeing nondegeneracy and normality that have to be checked on smaller sets of points of an optimal trajectory than those in known sufficient conditions. In fact, the constraint qualifications proposed impose the existence of an inward pointing velocity just on the instants of time for which the optimal trajectory has an outward pointing velocity.
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页码：115 / 136
页数：21
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