Sharp partial order and linear autonomous systems

[EN] This paper deals with autonomous linear systems and the sharp partial order. Given an autonomous linear system, we find another system, which is related to the first one by means of the sharp partial order. This relation can be interpreted in different ways: as a perturbation or as a projection...

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Detalles Bibliográficos
Autores: Herrero Debón, Alicia|||0000-0002-4348-8486, Thome, Néstor|||0000-0001-5328-6637
Tipo de recurso: artículo
Fecha de publicación:2020
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/160809
Acceso en línea:https://riunet.upv.es/handle/10251/160809
Access Level:acceso abierto
Palabra clave:Generalized inverses
Sharp partial order
Linear systems
MATEMATICA APLICADA
Descripción
Sumario:[EN] This paper deals with autonomous linear systems and the sharp partial order. Given an autonomous linear system, we find another system, which is related to the first one by means of the sharp partial order. This relation can be interpreted in different ways: as a perturbation or as a projection of the initial system. Both points of view allow us to work with a new system with some previously selected behaviour. The solutions of the two systems are related via a matrix that gives the gap between them. We design some algorithms and analize their performance with numerical examples.