Open-loop viable control under uncertain initial state information
type: Item
instance of: scholarly article
title: Open-loop viable control under uncertain initial state information
zbMATH Open document ID: 0927.93029
author: Marc Quincampoix
author: Vladimir M. Veliov
published in: Set-Valued Analysis
publication date: 1999-12-08T00:00:00Z
review text: The notions of contingent vector field, viability domain, and viability kernel are introduced in the case when the underlying space is a prescribed collection of sets endowed with the Hausdorff semimetric. As a motivation for this analysis, the problem of open-loop viable control of a nonlinear control system in \(R^n\), with uncertain state information is studied. The family of those initial sets for which a viable control is possible, is characterized. Moreover, an approximation scheme for the viability kernel is proposed. This scheme is numerically realizable in the case of low dimensions and of a simple collection of sets chosen for state estimation. A viability differential game where the uncertainty may enter also in the dynamics of the system, is also studied.
Mathematics Subject Classification ID: 93B52
Mathematics Subject Classification ID: 91A25
zbMATH DE Number: 1331787
zbMATH Keywords: viability
zbMATH Keywords: open-loop control under uncertainty
reviewed by: Mikhail Krastanov
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1331787