A cellular decomposition of the manifold of observable conditioned invariant subspaces

Given an observable system defined by a pair of matrices $(C,A)$ we obtain a cellular decomposition of the manifold of $(C,A)$-conditioned invariant subspaces having the restricted system fixed observability indices and we apply this decomposition to compute their homology groups.

Detalles Bibliográficos
Autores: Puerta Sales, Ferran, Puerta Coll, Xavier, Zaballa, Ion
Tipo de recurso: artículo
Fecha de publicación:2000
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/795
Acceso en línea:https://hdl.handle.net/2117/795
Access Level:acceso abierto
Palabra clave:System theory
Conditioned invariant subspace
cewllular descomposition
homology groups
Sistemes, Teoria de
Sistemes de control
Classificació AMS::93 Systems Theory
Control::93C Control systems, guided systems
Control::93B Controllability, observability, and system structure
Descripción
Sumario:Given an observable system defined by a pair of matrices $(C,A)$ we obtain a cellular decomposition of the manifold of $(C,A)$-conditioned invariant subspaces having the restricted system fixed observability indices and we apply this decomposition to compute their homology groups.