On a nonconvex, nonsmooth control system
type: Item
instance of: scholarly article
title: On a nonconvex, nonsmooth control system
zbMATH Open document ID: 0663.49007
DOI: 10.1016/0022-247X(88)90114-X
author: Barbara Kaśkosz
author: Stanisław jun. Łojasiewicz
published in: Journal of Mathematical Analysis and Applications
publication date: 1988-01-01T00:00:00Z
review text: This paper is concerned with the study of boundary trajectories of a control system, and what happens to them after relaxing the system. The main problem considered is that a trajectory may be fall into the interior of reachable sets after relaxing the system, but still remain extremal for the relaxed system. A simple proof of the maximum principle is given which says that a boundary trajectory of a nonconvex, nonsmooth system satisfies the maximum principle not only with every ordinary but also with every relaxed control corresponding to it.
Mathematics Subject Classification ID: 49K15
Mathematics Subject Classification ID: 49J52
Mathematics Subject Classification ID: 93B03
Mathematics Subject Classification ID: 93C15
zbMATH DE Number: 4084432
zbMATH Keywords: boundary trajectories
zbMATH Keywords: relaxed system
zbMATH Keywords: maximum principle
zbMATH Keywords: nonconvex, nonsmooth system
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4084432