Classification and versal deformation of generalized flags

A natural equivalence relation can be considered in the generalized flag manifold. First we give a complete set of invariants of it as well as a canonical matrix description of the classes. Next we consider parametric flags. We give a miniversal deformation for the above canonical form and we use it...

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Detalhes bibliográficos
Autor: Puerta Coll, Xavier
Formato: artículo
Fecha de publicación:2003
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:2117/866
Acesso em linha:https://hdl.handle.net/2117/866
Access Level:acceso abierto
Palavra-chave:System theory
Versal deformation
orbit space
Grassmann manifold
generalized flag manifold
Sistemes, Teoria de
Sistemes de control
Classificació AMS::93 Systems Theory
Control::93B Controllability, observability, and system structure
Control::93C Control systems, guided systems
Descrição
Resumo:A natural equivalence relation can be considered in the generalized flag manifold. First we give a complete set of invariants of it as well as a canonical matrix description of the classes. Next we consider parametric flags. We give a miniversal deformation for the above canonical form and we use it to characterize the stable flags.