On open-loop and feedback attainability of a closed set for nonlinear control systems
type: Item
instance of: scholarly article
title: On open-loop and feedback attainability of a closed set for nonlinear control systems
zbMATH Open document ID: 1031.93015
DOI: 10.1016/S0022-247X(02)00081-1
author: Paolo Nistri
author: Marc Quincampoix
published in: Journal of Mathematical Analysis and Applications
publication date: 2002-09-08T00:00:00Z
review text: The attainability of a closed set with respect to the trajectories of a differential inclusion is studied under suitable assumptions. This property is closely related to the continuity of the minimal time function. The main result is a sufficient attainability condition. If the set is more regular, then the existence of continuous selections of the right-hand side of the differential inclusion providing the attainability property is proved. Following the main idea of [\textit{V. Veliov}, Set-Valued Anal. 5, 73-88 (1997; Zbl 0878.93054)], the set of all viable trajectories is also described.
Mathematics Subject Classification ID: 93B03
Mathematics Subject Classification ID: 34A60
zbMATH DE Number: 1797520
zbMATH Keywords: attainability
zbMATH Keywords: feedback control
zbMATH Keywords: viability
zbMATH Keywords: differential inclusion
zbMATH Keywords: continuity of the minimal time function
zbMATH Keywords: existence of continuous selections
reviewed by: Mikhail Krastanov
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1797520