Analysis of behavior of a simple eigenvalue of singular system

Small perturbations of simple eigenvalues with a change of parameters is a problem of general interest in applied mathematics. The aim of this work is to study the behavior of a simple eigenvalue of singular linear system family E(p)x'_ = A(p)x + B(p)u; y = C(p)x smoothly dependent on real para...

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Detalhes bibliográficos
Autores: García Planas, María Isabel|||0000-0001-7418-7208, Tarragona, Sonia
Formato: capítulo de livro
Fecha de publicación:2013
País:España
Recursos:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/27421
Acesso em linha:https://hdl.handle.net/2117/27421
Access Level:acceso abierto
Palavra-chave:Linear systems
Singular linear systems
Eigenvalues
Eigenvectors
Perturbation
Sistemes lineals
Àrees temàtiques de la UPC::Matemàtiques i estadística
Descrição
Resumo:Small perturbations of simple eigenvalues with a change of parameters is a problem of general interest in applied mathematics. The aim of this work is to study the behavior of a simple eigenvalue of singular linear system family E(p)x'_ = A(p)x + B(p)u; y = C(p)x smoothly dependent on real parameters p = (p1,..., pn).