On the parametrization of the controllability subspaces of a controllable pair
Given a controllable linear control system defined by a pair of constant matrices (A;B), the set of controllability subspaces is an stratified submanifold of the set of (A;B)-invariant subspaces. We parameterize each strata by means of coordinate charts. This parametrization has significant di®erenc...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2003 |
| 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:2117/867 |
| Acceso en línea: | https://hdl.handle.net/2117/867 |
| Access Level: | acceso abierto |
| Palabra clave: | System theory Algebras, Linear Multilinear algebra Matrices parametrization controllable pair controllability subspaces Sistemes, Teoria de Àlgebra lineal Àlgebra multilineal Matriu S, Teoria Classificació AMS::93 Systems Theory Control::93B Controllability, observability, and system structure Classificació AMS::15 Linear and multilinear algebra matrix theory |
| Sumario: | Given a controllable linear control system defined by a pair of constant matrices (A;B), the set of controllability subspaces is an stratified submanifold of the set of (A;B)-invariant subspaces. We parameterize each strata by means of coordinate charts. This parametrization has significant di®erences to that of (A;B) invariant subspaces, showing a more complex geometric structure. |
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