Some Categorical Properties of Linear Systems
[EN] Linear control systems are studied by means of a state-space approach. Feedback morphisms are presented as natural generalization of feedback equivalences. The set of feedback morphisms between two linear systems is a vector space. Kernels, cokernels, as well as monomorphisms, epimorphisms, sec...
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| Tipo de documento: | artigo |
| Estado: | Versão publicada |
| Data de publicação: | 2022 |
| País: | España |
| Recursos: | Universidad Rey Juan Carlos |
| Repositório: | BULERIA. Repositorio Institucional de la Universidad de León |
| OAI Identifier: | oai:buleria.unileon.es:10612/19403 |
| Acesso em linha: | https://mdpi.com/2227-7390/10/12/2088 https://hdl.handle.net/10612/19403 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Matemáticas Feedback Linear Systems Categorical properties of feedback actions 1201.05 Campos, Anillos, Álgebras 1201.10 Álgebra Lineal |
| Resumo: | [EN] Linear control systems are studied by means of a state-space approach. Feedback morphisms are presented as natural generalization of feedback equivalences. The set of feedback morphisms between two linear systems is a vector space. Kernels, cokernels, as well as monomorphisms, epimorphisms, sections, and retracts of feedback morphisms are studied in the category of linear systems over finite dimensional vector spaces. Finally, a classical Kalman's decomposition of linear systems over vector spaces is presented as a split short exact sequence in the category. |
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