Infimal Convolution and Optimal Time Control Problem II: Limiting Subdifferential

被引：0
作者：
Grigorii E. Ivanov
Lionel Thibault
机构：
[1] Moscow Institute of Physics and Technology,Institut Montpelliérain Alexander Grothendieck
[2] Université de Montpellier,Centro de Modelamiento Matematico
[3] Universidad de Chile,undefined
来源：
Set-Valued and Variational Analysis | 2017年 / 25卷
关键词：
Fréchet subdifferential; Mordukhovich limiting subdifferential; Minimal time function; Minimal time projection; Infimal convolution; Lower regular function; Primary 49J52, 46N10, 58C20; Secondary 28B20;
D O I：
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学科分类号：
摘要：
This paper is the continuation of our study of a general minimal time problem with a convex constant dynamics and a lower semicontinuous extended real-valued target function defined on a Banach space. We study several properties of the limiting subdifferential for the infimum time function and we provide explicit expressions of the limiting subdifferential. Necessary and sufficient conditions for the infimum time function to be lower regular are presented. The sharpness of assumptions is shown through diverse examples.
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页码：517 / 542
页数：25
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