The topology of the set of conditioned invariant subspaces

Consultar RECERCAT

Para acceder a los documentos con el texto completo, por favor, siga el siguiente enlace: http://hdl.handle.net/2117/777

Título:	The topology of the set of conditioned invariant subspaces
Autor/a:	Puerta Coll, Xavier; Helmke, Uwe
Otros autores:	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I; Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
Abstract:	We consider the topology of the set of conditioned invariant subspaces of an observable pair $(C,A)$ of a fixed dimension. By fixing the observability indices of the restricted system, a stratification by finitely many smooth manifolds is obtained, termed Brunovsky strata. It is shown that each Brunovsky stratum is homotopy equivalent to a generalized flag manifold. From this description an effective formula for the Betti numbers of the Brunovsky strata can be derived.
Materia(s):	-System theory -Global analysis (Mathematics) -Topology -Invariant subspaces -Sistemes, Teoria de -Sistemes de control -Varietats (Matemàtica) -Classificació AMS::93 Systems Theory; Control::93B Controllability, observability, and system structure -Classificació AMS::58 Global analysis, analysis on manifolds::58E Variational problems in infinite-dimensional spaces -Classificació AMS::93 Systems Theory; Control::93C Control systems, guided systems
Derechos:	Attribution-NonCommercial-NoDerivs 2.5 Spain http://creativecommons.org/licenses/by-nc-nd/2.5/es/
Tipo de documento:	Artículo
Compartir: