On the attainable set of differential inclusions and control systems
type: Item
instance of: scholarly article
title: On the attainable set of differential inclusions and control systems
zbMATH Open document ID: 0636.49018
DOI: 10.1016/0022-247X(87)90094-1
author: Nikolaos S. Papageorgiou
published in: Journal of Mathematical Analysis and Applications
publication date: 1987-01-01T00:00:00Z
review text: The reachable sets of a time-dependent differential inclusion defined on a separable Banach space X are considered and some properties of the minimum-time map are proved. Under suitable hypotheses results analogous to the ones true in the finite dimensional case are given. Moreover, if X is finite dimensional a bang-bang theorem and a characterization of the attainable sets by means of the minimum-time map are obtained for multivalued inclusions satisfying additional assumptions.
Mathematics Subject Classification ID: 93B03
Mathematics Subject Classification ID: 34A60
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 46B99
Mathematics Subject Classification ID: 49J27
Mathematics Subject Classification ID: 49K30
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93C25
zbMATH DE Number: 4036581
zbMATH Keywords: reachable sets
zbMATH Keywords: time-dependent differential inclusion
zbMATH Keywords: separable Banach space
zbMATH Keywords: minimum-time map
zbMATH Keywords: bang-bang theorem
reviewed by: Gianna Stefani
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4036581