Control Problems for a Class of Set Valued Evolutions

Alberto Bressan; Dongmei Zhang

doi:10.1007/s11228-012-0204-5

Control Problems for a Class of Set Valued Evolutions

Alberto Bressan
, Dongmei Zhang

Research output: Contribution to journal › Article › peer-review

19 Scopus citations

Abstract

The paper studies controllability problems for the reachable set of a differential inclusion. These were originally motivated by models of control of a flock of animals. Conditions are derived for the existence or nonexistence of a strategy which confines the reachable set within a given bounded region, at all sufficiently large times. Steering problems and the asymptotic shape of the reachable set are also investigated.

Original language	English (US)
Pages (from-to)	581-601
Number of pages	21
Journal	Set-Valued Analysis
Volume	20
Issue number	4
DOIs	https://doi.org/10.1007/s11228-012-0204-5
State	Published - Dec 2012

All Science Journal Classification (ASJC) codes

Analysis
Statistics and Probability
Numerical Analysis
Geometry and Topology
Applied Mathematics

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10.1007/s11228-012-0204-5

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title = "Control Problems for a Class of Set Valued Evolutions",

abstract = "The paper studies controllability problems for the reachable set of a differential inclusion. These were originally motivated by models of control of a flock of animals. Conditions are derived for the existence or nonexistence of a strategy which confines the reachable set within a given bounded region, at all sufficiently large times. Steering problems and the asymptotic shape of the reachable set are also investigated.",

author = "Alberto Bressan and Dongmei Zhang",

year = "2012",

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doi = "10.1007/s11228-012-0204-5",

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AU - Bressan, Alberto

AU - Zhang, Dongmei

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AB - The paper studies controllability problems for the reachable set of a differential inclusion. These were originally motivated by models of control of a flock of animals. Conditions are derived for the existence or nonexistence of a strategy which confines the reachable set within a given bounded region, at all sufficiently large times. Steering problems and the asymptotic shape of the reachable set are also investigated.

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UR - https://www.scopus.com/pages/publications/84865681586#tab=citedBy

U2 - 10.1007/s11228-012-0204-5

DO - 10.1007/s11228-012-0204-5

M3 - Article

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EP - 601

JO - Set-Valued Analysis

JF - Set-Valued Analysis

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Control Problems for a Class of Set Valued Evolutions

Abstract

All Science Journal Classification (ASJC) codes

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