Coprime factorization of singular linear systems. A Stein matritial equation approach
In this work immersed in the eld of control theory on a Given a singular linear dynamic time invariant represented by Ex + ( t ) = Ax ( t ) Bu ( t ), y ( t ) = Cx ( t ). We want to classify singular systems such that by means a feedback and an output injection, the transfer ma- trix of the system is...
| 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:2117/20804 |
| Acceso en línea: | https://hdl.handle.net/2117/20804 |
| Access Level: | acceso abierto |
| Palabra clave: | Linear systems Singular systems feedback output injection coprime factorization. Sistemes lineals Àrees temàtiques de la UPC::Matemàtiques i estadística |
| Sumario: | In this work immersed in the eld of control theory on a Given a singular linear dynamic time invariant represented by Ex + ( t ) = Ax ( t ) Bu ( t ), y ( t ) = Cx ( t ). We want to classify singular systems such that by means a feedback and an output injection, the transfer ma- trix of the system is a polynomial, for that we analyze conditions for obtention of a coprime factorization of transfer matrices of singular lin- ear systems de ned over commutative rings R with element unit. The problem presented is related to the existence of solutions of a Stein matritial equation XE NXA = Z . |
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