Stability of Switched Linear Differential Systems

Bibliographic Details
Main Author: Jonathan Carlos Mayo-Maldonado
Publication Date: 2014
Other Authors: Paolo Rapisarda, Paula Rocha
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: https://repositorio-aberto.up.pt/handle/10216/110089
Summary: We study the stability of switched systems whose dynamic modes are described by systems of higher-order linear differential equations not necessarily sharing the same state space. Concatenability of trajectories at the switching instants is specified by gluing conditions, i.e. algebraic conditions on the trajectories and their derivatives at the switching instants. We provide sufficient conditions for stability based on LMIs for systems with general gluing conditions. We also analyse the role of positive-realness in providing sufficient polynomial-algebraic conditions for stability of two-modes switched systems with special gluing conditions.
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spelling Stability of Switched Linear Differential SystemsCiências da engenharia e tecnologiasEngineering and technologyWe study the stability of switched systems whose dynamic modes are described by systems of higher-order linear differential equations not necessarily sharing the same state space. Concatenability of trajectories at the switching instants is specified by gluing conditions, i.e. algebraic conditions on the trajectories and their derivatives at the switching instants. We provide sufficient conditions for stability based on LMIs for systems with general gluing conditions. We also analyse the role of positive-realness in providing sufficient polynomial-algebraic conditions for stability of two-modes switched systems with special gluing conditions.20142014-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://repositorio-aberto.up.pt/handle/10216/110089eng0018-928610.1109/tac.2014.2314521Jonathan Carlos Mayo-MaldonadoPaolo RapisardaPaula Rochainfo:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2025-02-27T16:44:06Zoai:repositorio-aberto.up.pt:10216/110089Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T21:51:34.673807Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv Stability of Switched Linear Differential Systems
title Stability of Switched Linear Differential Systems
spellingShingle Stability of Switched Linear Differential Systems
Jonathan Carlos Mayo-Maldonado
Ciências da engenharia e tecnologias
Engineering and technology
title_short Stability of Switched Linear Differential Systems
title_full Stability of Switched Linear Differential Systems
title_fullStr Stability of Switched Linear Differential Systems
title_full_unstemmed Stability of Switched Linear Differential Systems
title_sort Stability of Switched Linear Differential Systems
author Jonathan Carlos Mayo-Maldonado
author_facet Jonathan Carlos Mayo-Maldonado
Paolo Rapisarda
Paula Rocha
author_role author
author2 Paolo Rapisarda
Paula Rocha
author2_role author
author
dc.contributor.author.fl_str_mv Jonathan Carlos Mayo-Maldonado
Paolo Rapisarda
Paula Rocha
dc.subject.por.fl_str_mv Ciências da engenharia e tecnologias
Engineering and technology
topic Ciências da engenharia e tecnologias
Engineering and technology
description We study the stability of switched systems whose dynamic modes are described by systems of higher-order linear differential equations not necessarily sharing the same state space. Concatenability of trajectories at the switching instants is specified by gluing conditions, i.e. algebraic conditions on the trajectories and their derivatives at the switching instants. We provide sufficient conditions for stability based on LMIs for systems with general gluing conditions. We also analyse the role of positive-realness in providing sufficient polynomial-algebraic conditions for stability of two-modes switched systems with special gluing conditions.
publishDate 2014
dc.date.none.fl_str_mv 2014
2014-01-01T00:00:00Z
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 https://repositorio-aberto.up.pt/handle/10216/110089
url https://repositorio-aberto.up.pt/handle/10216/110089
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0018-9286
10.1109/tac.2014.2314521
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.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
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collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
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