Control problems for a class of set valued evolutions
type: Item
instance of: scholarly article
title: Control problems for a class of set valued evolutions
zbMATH Open document ID: 1259.28016
author: Alberto Bressan
author: Dongmei Zhang
published in: Set-Valued and Variational Analysis
publication date: 2013-01-04T00:00:00Z
review text: The authors study a particular class of control problems which represents a model that describes the controlled motion of a flock of animals. Necessary and sufficient conditions for the existence of a confining strategy for this problem are provided. Similar results are obtained in order to ensure that the steering problem admits a solution. Also, the situation is studied when stabilization is obtained by a control function which rotates with constant speed. In this case, it is proved that the reachable set converges in a strong sense to a periodic set-valued map.
reviewed by: Aurelian Cernea
Mathematics Subject Classification ID: 28B20
Mathematics Subject Classification ID: 34A60
zbMATH DE Number: 6121911
zbMATH Keywords: differential inclusions
zbMATH Keywords: reachable set
zbMATH Keywords: global confinement
Wikidata QID: Q59263919
MaRDI profile type: Publication
full work available at URL: s11228-012-0204-5
OpenAlex ID: W2023864973
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DOI: 10.1007/S11228-012-0204-5
description: scientific article; zbMATH DE number 6121911