Lattice operators underlying dynamic systems
type: Item
instance of: scholarly article
title: Lattice operators underlying dynamic systems
zbMATH Open document ID: 0854.06006
DOI: 10.1007/BF00425961
author: Juliette Mattioli
author: Luc Doyen
author: Laurent Najman
published in: Set-Valued Analysis
publication date: 1996-07-25T00:00:00Z
review text: The authors describe algebraic and continuity properties of increasing set operators underlying dynamic systems. By an operator, they mean a mapping of a complete lattice into itself. The authors investigate set operators defined on a complete lattice induced by a differential equation or differential inclusion, namely, the reachable map, the exit tube, the viability kernel map and the invariance kernel map. Some results are applied to morphological operators.
Mathematics Subject Classification ID: 06B23
Mathematics Subject Classification ID: 93A10
Mathematics Subject Classification ID: 34A60
Mathematics Subject Classification ID: 68U10
Mathematics Subject Classification ID: 93C15
zbMATH DE Number: 894251
zbMATH Keywords: semi-continuity
zbMATH Keywords: increasing set operators
zbMATH Keywords: dynamic systems
zbMATH Keywords: complete lattice
zbMATH Keywords: differential equation
zbMATH Keywords: differential inclusion
zbMATH Keywords: reachable map
zbMATH Keywords: exit tube
zbMATH Keywords: viability kernel map
zbMATH Keywords: invariance kernel map
zbMATH Keywords: morphological operators
reviewed by: Bohumil František Šmarda
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00425961
OpenAlex ID: W3022223121
description: scientific article; zbMATH DE number 894251