Normality and Nondegeneracy of the Maximum Principle in Optimal Impulsive Control Under State Constraints

被引：0
作者：
Monica Motta
Caterina Sartori
机构：
[1] University of Padua,Department of Mathematics “Tullio Levi
来源：
Journal of Optimization Theory and Applications | 2020年 / 185卷
关键词：
Impulsive optimal control problems; Maximum principle; State constraints; Constraint qualifications; Normality; Degeneracy; 49N25; 49J15; 34K45;
D O I：
暂无
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学科分类号：
摘要：
We investigate nondegenerate and normal forms of the maximum principle for general, free end-time, impulsive optimal control problems with state and endpoint constraints. We introduce constraint qualifications sufficient to avoid degeneracy or abnormality phenomena, which do not require any convexity and impose the existence of an inward pointing velocity just on the subset of times, in which the extended optimal trajectory has an outward pointing velocity (w.r.t. the state constraint). These conditions extend to impulsive problems some conditions, recently proposed by F. Fontes and H. Frankowska, for conventional optimization problems. The nontriviality of this extension is illustrated through some examples.
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页码：44 / 71
页数：27
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