Infimal convolution and optimal time control problem I: frechet and proximal subdifferentials
Author
dc.contributor.author
Ivanov, Grigorii E.
Author
dc.contributor.author
Thibault, Lionel
Admission date
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2018-12-26T23:02:25Z
Available date
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2018-12-26T23:02:25Z
Publication date
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2018-09
Cita de ítem
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Set-Valued and Variational Analysis Volumen: 26 Número: 3 Páginas: 581-606
es_ES
Identifier
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10.1007/s11228-016-0398-z
Identifier
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https://repositorio.uchile.cl/handle/2250/159220
Abstract
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We consider a general minimal time problem with a convex constant dynamics and a lower semicontinuous extended real-valued target function defined on a Banach space. If the target function is the indicator function of a closed set, this problem is a minimal time problem for a target set, studied previously in particular by Colombo, Goncharov and Mordukhovich. We investigate several properties of the Fr,chet and proximal subdifferentials for the infimum time function. Also explicit expressions of the above mentioned subdifferentials as well as various directional derivatives are obtained. We provide some examples to show the essentiality of assumptions of our theorems.