Contributions to the singular perturbation theory of infinite-dimensional coupled systems

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dc.catalogadorpva
dc.contributor.advisorCerpa, Eduardo
dc.contributor.advisorMarx, Swann
dc.contributor.authorArias Neira, Gonzalo Andrés
dc.contributor.otherPontificia Universidad Católica de Chile. Facultad de Matemáticas
dc.date.accessioned2025-06-26T19:53:03Z
dc.date.available2025-06-26T19:53:03Z
dc.date.issued2025
dc.date.updated2025-06-25T15:08:29Z
dc.descriptionTesis (Doctor en Matemáticas)--Pontificia Universidad Católica de Chile, 2025
dc.description.abstractSingular perturbation and separation of time scales methods have been used to study the stability and control design for coupled ODE systems with different time scales for many years. This important literature was motivated by the fact that systems with significantly different time scales appear in several applications, in which the constituents of a coupled system may model different physical phenomena taking place in different time scales. The singular perturbation method (SPM), roughly speaking, aims to decouple a full system into two approximated subsystems based on a suitable time-scale separation. This thesis addresses problems concerning the stability, Tikhonov's approximation, stabilization, and control of singularly perturbed coupled infinite-dimensional systems.
dc.description.funderANID
dc.fechaingreso.objetodigital2025-06-25
dc.format.extent145 páginas
dc.fuente.origenAutoarchivo
dc.identifier.doi10.7764/tesisUC/MAT/104770
dc.identifier.urihttps://doi.org/10.7764/tesisUC/MAT/104770
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/104770
dc.information.autorucFacultad de Matemáticas; Cerpa, Eduardo; 0000-0001-9974-324X; 1125488
dc.information.autorucFacultad de Matemáticas; Arias Neira, Gonzalo Andrés; S/I; 1101598
dc.language.isoen
dc.nota.accesocontenido completo
dc.rightsacceso abierto
dc.rights.licenseAtribución-NoComercial-CompartirIgual 4.0 Internacional (CC BY-NC-SA 4.0)
dc.rights.urihttps://creativecommons.org/licenses/by-nc-sa/4.0/deed.es
dc.subject.ddc510
dc.subject.deweyMatemática física y químicaes_ES
dc.titleContributions to the singular perturbation theory of infinite-dimensional coupled systems
dc.typetesis doctoral
sipa.codpersvinculados1125488
sipa.codpersvinculados1101598
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