Impulse capture basins of sets under impulse control systems
type: Item
instance of: scholarly article
title: Impulse capture basins of sets under impulse control systems
zbMATH Open document ID: 1019.93023
DOI: 10.1016/S0022-247X(02)00377-3
author: Jean-Pierre Aubin
author: Georges Haddad
published in: Journal of Mathematical Analysis and Applications
publication date: 2003-02-11T00:00:00Z
review text: The authors generalize the viability approach for control systems to a new class of dynamical systems governed by impulse control systems. One of the aims of the present paper is to prove that it is possible to define and characterize capture basin and viability kernels using some algebraic property. So the approach developed by Aubin-Cotté can be extended to controlled impulsional systems.
reviewed by: Marc Quincampoix
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 34A37
Mathematics Subject Classification ID: 93D20
zbMATH DE Number: 1866708
zbMATH Keywords: hybrid control
zbMATH Keywords: impulse control systems
zbMATH Keywords: capture basin
zbMATH Keywords: viability kernels
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1866708