Remarks on stability of inverted pendula

Bibliographic Details
Main Author: Caiado, M. I.
Publication Date: 2005
Other Authors: Sarychev, A. V.
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/1822/11402
Summary: Using linearization principle and tools from chronological calculus one establishes a criteria for stabilization of, usually unstable, equilibrium position of Double Inverted Pendula when subject an arbitrary fast oscillation. Both, planar and spherical cases are considered.
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spelling Remarks on stability of inverted pendulaLyapunov stability of ODEAveraging methodAsymptotic singular perturbations, methods (ODE)ODE in connection with control problemsUsing linearization principle and tools from chronological calculus one establishes a criteria for stabilization of, usually unstable, equilibrium position of Double Inverted Pendula when subject an arbitrary fast oscillation. Both, planar and spherical cases are considered.Fundação para a Ciência e a Tecnologia (FCT)Dipartimento di Matematica per le Decisione, Università di Firenze, ItaliaUniversità e Politecnico di TorinoUniversidade do MinhoCaiado, M. I.Sarychev, A. V.20052005-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/11402eng"Rendiconti del Seminario Matematico". ISSN 0373-1243. 63:4 (2005) 333-347.0373-1243http://seminariomatematico.dm.unito.it/rendiconti/63-4/333.pdfinfo: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:RCAAP2024-05-11T04:16:30Zoai:repositorium.sdum.uminho.pt:1822/11402Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T14:43:53.684729Repositórios 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 Remarks on stability of inverted pendula
title Remarks on stability of inverted pendula
spellingShingle Remarks on stability of inverted pendula
Caiado, M. I.
Lyapunov stability of ODE
Averaging method
Asymptotic singular perturbations, methods (ODE)
ODE in connection with control problems
title_short Remarks on stability of inverted pendula
title_full Remarks on stability of inverted pendula
title_fullStr Remarks on stability of inverted pendula
title_full_unstemmed Remarks on stability of inverted pendula
title_sort Remarks on stability of inverted pendula
author Caiado, M. I.
author_facet Caiado, M. I.
Sarychev, A. V.
author_role author
author2 Sarychev, A. V.
author2_role author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Caiado, M. I.
Sarychev, A. V.
dc.subject.por.fl_str_mv Lyapunov stability of ODE
Averaging method
Asymptotic singular perturbations, methods (ODE)
ODE in connection with control problems
topic Lyapunov stability of ODE
Averaging method
Asymptotic singular perturbations, methods (ODE)
ODE in connection with control problems
description Using linearization principle and tools from chronological calculus one establishes a criteria for stabilization of, usually unstable, equilibrium position of Double Inverted Pendula when subject an arbitrary fast oscillation. Both, planar and spherical cases are considered.
publishDate 2005
dc.date.none.fl_str_mv 2005
2005-01-01T00:00:00Z
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 http://hdl.handle.net/1822/11402
url http://hdl.handle.net/1822/11402
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv "Rendiconti del Seminario Matematico". ISSN 0373-1243. 63:4 (2005) 333-347.
0373-1243
http://seminariomatematico.dm.unito.it/rendiconti/63-4/333.pdf
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 Università e Politecnico di Torino
publisher.none.fl_str_mv Università e Politecnico di Torino
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
instacron_str RCAAP
institution RCAAP
reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
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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