Efficient choice of parameters on delta-reachability bounded hybrid systems
Autor(a) principal: | |
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Data de Publicação: | 2021 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10773/33208 |
Resumo: | Hybrid systems (HS) are roughly described as a set of discrete state transitions and continuous dynamics modeled by differential equations. Parametric HS may be constructed by having parameters on the differential equations, initial conditions, jump conditions, or a combination of the previous ones. In real applications, the best solution is obtained by a set of metrics functional over the set of solutions generated from a finite set of parameters. This paper examines the choice of parameters on delta-reachability bounded hybrid systems. We present an efficient model based on the tool pHL-MT to benchmark the HS solutions (based on dReach), and a non-parametric frontier analysis approach, relying on multidirectional efficiency analysis (MEA). Three numerical examples of epidemic models with variable growth inffectivity are presented, namely: when the variable of infected individuals oscillates around some endemic (non-autonomous) equilibrium; when there is an asymptotically stable non-trivial attractor; and in the presence of bump functions. |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Efficient choice of parameters on delta-reachability bounded hybrid systemsBounded hybrid systemSafety propertyDelta-reachabilityMultidirectional efficiency analysisHybrid systems (HS) are roughly described as a set of discrete state transitions and continuous dynamics modeled by differential equations. Parametric HS may be constructed by having parameters on the differential equations, initial conditions, jump conditions, or a combination of the previous ones. In real applications, the best solution is obtained by a set of metrics functional over the set of solutions generated from a finite set of parameters. This paper examines the choice of parameters on delta-reachability bounded hybrid systems. We present an efficient model based on the tool pHL-MT to benchmark the HS solutions (based on dReach), and a non-parametric frontier analysis approach, relying on multidirectional efficiency analysis (MEA). Three numerical examples of epidemic models with variable growth inffectivity are presented, namely: when the variable of infected individuals oscillates around some endemic (non-autonomous) equilibrium; when there is an asymptotically stable non-trivial attractor; and in the presence of bump functions.Committee of Automatic Control and Robotics PAS2022-02-16T17:16:55Z2021-01-01T00:00:00Z2021info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/33208eng1230-238410.24425/acs.2021.139730Rocha, Eugénio Miguel AlexandreMurillo, Kelly Patriciainfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-02-22T12:03:40Zoai:ria.ua.pt:10773/33208Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:04:35.826598Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse |
dc.title.none.fl_str_mv |
Efficient choice of parameters on delta-reachability bounded hybrid systems |
title |
Efficient choice of parameters on delta-reachability bounded hybrid systems |
spellingShingle |
Efficient choice of parameters on delta-reachability bounded hybrid systems Rocha, Eugénio Miguel Alexandre Bounded hybrid system Safety property Delta-reachability Multidirectional efficiency analysis |
title_short |
Efficient choice of parameters on delta-reachability bounded hybrid systems |
title_full |
Efficient choice of parameters on delta-reachability bounded hybrid systems |
title_fullStr |
Efficient choice of parameters on delta-reachability bounded hybrid systems |
title_full_unstemmed |
Efficient choice of parameters on delta-reachability bounded hybrid systems |
title_sort |
Efficient choice of parameters on delta-reachability bounded hybrid systems |
author |
Rocha, Eugénio Miguel Alexandre |
author_facet |
Rocha, Eugénio Miguel Alexandre Murillo, Kelly Patricia |
author_role |
author |
author2 |
Murillo, Kelly Patricia |
author2_role |
author |
dc.contributor.author.fl_str_mv |
Rocha, Eugénio Miguel Alexandre Murillo, Kelly Patricia |
dc.subject.por.fl_str_mv |
Bounded hybrid system Safety property Delta-reachability Multidirectional efficiency analysis |
topic |
Bounded hybrid system Safety property Delta-reachability Multidirectional efficiency analysis |
description |
Hybrid systems (HS) are roughly described as a set of discrete state transitions and continuous dynamics modeled by differential equations. Parametric HS may be constructed by having parameters on the differential equations, initial conditions, jump conditions, or a combination of the previous ones. In real applications, the best solution is obtained by a set of metrics functional over the set of solutions generated from a finite set of parameters. This paper examines the choice of parameters on delta-reachability bounded hybrid systems. We present an efficient model based on the tool pHL-MT to benchmark the HS solutions (based on dReach), and a non-parametric frontier analysis approach, relying on multidirectional efficiency analysis (MEA). Three numerical examples of epidemic models with variable growth inffectivity are presented, namely: when the variable of infected individuals oscillates around some endemic (non-autonomous) equilibrium; when there is an asymptotically stable non-trivial attractor; and in the presence of bump functions. |
publishDate |
2021 |
dc.date.none.fl_str_mv |
2021-01-01T00:00:00Z 2021 2022-02-16T17:16:55Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/10773/33208 |
url |
http://hdl.handle.net/10773/33208 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
1230-2384 10.24425/acs.2021.139730 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Committee of Automatic Control and Robotics PAS |
publisher.none.fl_str_mv |
Committee of Automatic Control and Robotics PAS |
dc.source.none.fl_str_mv |
reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
instname_str |
Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
instacron_str |
RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
collection |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository.name.fl_str_mv |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
repository.mail.fl_str_mv |
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1799137701209833472 |