A software package for Lie algebraic computations

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dc.contributor.authorTorres Torriti, M
dc.contributor.authorMichalska, H
dc.date.accessioned2024-01-10T12:04:20Z
dc.date.available2024-01-10T12:04:20Z
dc.date.issued2005
dc.description.abstractThe paper presents a computer algebra package that facilitates Lie algebraic symbolic computations required in the solution of a variety of problems, such as the solution of right-invariant differential equations evolving on Lie groups. Lie theory is a powerful tool, helpful in the analysis and design of modern nonlinear control laws, nonlinear filters, and the study of particle dynamics. The practical application of Lie theory often results in highly complex symbolic expressions that are difficult to handle efficiently without the aid of a computer software tool. The aim of the package is to facilitate and encourage further research relying on Lie algebraic computations.
dc.fechaingreso.objetodigital2024-05-14
dc.format.extent24 páginas
dc.fuente.origenWOS
dc.identifier.doi10.1137/S0036144502410427
dc.identifier.eissn1095-7200
dc.identifier.issn0036-1445
dc.identifier.urihttps://doi.org/10.1137/S0036144502410427
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/75766
dc.identifier.wosidWOS:000233454600003
dc.information.autorucIngeniería;Torres M;S/I;96590
dc.issue.numero4
dc.language.isoen
dc.nota.accesocontenido parcial
dc.pagina.final745
dc.pagina.inicio722
dc.publisherSIAM PUBLICATIONS
dc.revistaSIAM REVIEW
dc.rightsacceso restringido
dc.subjectLie algebras
dc.subjectLie groups
dc.subjectCampbell-Baker-Hausdorff formula
dc.subjectHall bases
dc.subjectWei-Norman equations
dc.subjectsymbolic computation
dc.subjectcomputer algebra
dc.subjectdifferential equations
dc.subjectcontrol systems
dc.subjectnonlinear filtering
dc.subjectDIFFERENTIAL-EQUATIONS
dc.subjectSUFFICIENT CONDITION
dc.subjectSYMMETRIES
dc.subjectSYSTEMS
dc.subjectCONTROLLABILITY
dc.subjectSTABILIZATION
dc.subjectCOMBINATORICS
dc.subjectFORMULA
dc.subjectPOINT
dc.titleA software package for Lie algebraic computations
dc.typeartículo
dc.volumen47
sipa.codpersvinculados96590
sipa.indexWOS
sipa.trazabilidadCarga SIPA;09-01-2024
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