Upper bounds for the distance between a controllable switched linear system and the set of uncontrollable ones
he set of controllable switched linear systems is an open and dense set in the space of all switched linear systems. Therefore it makes sense to compute the distance from a controllable system to the nearest uncontrollable one. In the case of a standard system, () = () + () , R. Eising, D. Boley, an...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2013 |
| 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:2117/20862 |
| Acceso en línea: | https://hdl.handle.net/2117/20862 https://dx.doi.org/10.1155/2013/948147 |
| Access Level: | acceso abierto |
| Palabra clave: | Matrices Matrius (Matemàtica) Àrees temàtiques de la UPC::Matemàtiques i estadística |
| Sumario: | he set of controllable switched linear systems is an open and dense set in the space of all switched linear systems. Therefore it makes sense to compute the distance from a controllable system to the nearest uncontrollable one. In the case of a standard system, () = () + () , R. Eising, D. Boley, and W. S. Lu obtain some results for this distance, both in the complex and real cases. In this work we explore this distance, for switched linear systems in the real case, obtaining upper bounds for it. The main contribution of the paper is to prove that a natural generalization of the upper bound obtained by D. Boley and W. S. Lu is true in the case of switched linear systems |
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