State canonical form for a class of uncontrollable linear systems
We tackle the obtaining of canonical forms for classifying linear control systems with regard to changes in the state variables. Although it was solved in the 1980s for controllable systems, it is still an open problem for the general case of multiparametric non-necessarily controllable systems. Her...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2019 |
| 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:2117/329863 |
| Acceso en línea: | https://hdl.handle.net/2117/329863 https://dx.doi.org/10.1080/03081087.2019.1679077 |
| Access Level: | acceso abierto |
| Palabra clave: | Linear systems Matrices Linear control systems State variables Canonical forms Block lower diagonal matrices Sistemes lineals Matrius (Matemàtica) Classificació AMS::15 Linear and multilinear algebra matrix theory Classificació AMS::93 Systems Theory Control::93B Controllability, observability, and system structure Àrees temàtiques de la UPC::Matemàtiques i estadística |
| Sumario: | We tackle the obtaining of canonical forms for classifying linear control systems with regard to changes in the state variables. Although it was solved in the 1980s for controllable systems, it is still an open problem for the general case of multiparametric non-necessarily controllable systems. Here we obtain a general reduced form which is canonical for a class of systems which includes the cases already known (uniparametric systems, controllable systems) |
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