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Description
| - This paper questions the validity of the definition and some properties of the RMS ring traditionally utilized for the description of time-delay systems. The original description of the ring is faced with findings obtained while dealing with this ring. In the light of these observations, it seems that a revisited definition of the ring ought to be formulated, and thus a new possible conception is presented in the contribution. It is also shown in the paper that the RMS ring proposed in the paper is not a unique factorization domain and thus it is not a principal ideal domain. The extended Euclidean algorithm is attempted to be performed for the ring to prove that it is a Bézout domain, which induces the question of existence of the coprime factorization for each pair of elements of the ring. These two problems are discussed; however, they remain partially unsolved.
- This paper questions the validity of the definition and some properties of the RMS ring traditionally utilized for the description of time-delay systems. The original description of the ring is faced with findings obtained while dealing with this ring. In the light of these observations, it seems that a revisited definition of the ring ought to be formulated, and thus a new possible conception is presented in the contribution. It is also shown in the paper that the RMS ring proposed in the paper is not a unique factorization domain and thus it is not a principal ideal domain. The extended Euclidean algorithm is attempted to be performed for the ring to prove that it is a Bézout domain, which induces the question of existence of the coprime factorization for each pair of elements of the ring. These two problems are discussed; however, they remain partially unsolved. (en)
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Title
| - Some Observations About the RMS Ring for Delayed Systems
- Some Observations About the RMS Ring for Delayed Systems (en)
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skos:prefLabel
| - Some Observations About the RMS Ring for Delayed Systems
- Some Observations About the RMS Ring for Delayed Systems (en)
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skos:notation
| - RIV/70883521:28140/09:63507932!RIV10-MSM-28140___
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http://linked.open...avai/riv/aktivita
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http://linked.open...avai/riv/aktivity
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http://linked.open...vai/riv/dodaniDat
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http://linked.open...aciTvurceVysledku
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http://linked.open.../riv/druhVysledku
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http://linked.open...iv/duvernostUdaju
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http://linked.open...titaPredkladatele
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http://linked.open...dnocenehoVysledku
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http://linked.open...ai/riv/idVysledku
| - RIV/70883521:28140/09:63507932
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http://linked.open...riv/jazykVysledku
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http://linked.open.../riv/klicovaSlova
| - Time-delay systems; algebraic approach; RMS ring (en)
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http://linked.open.../riv/klicoveSlovo
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http://linked.open...ontrolniKodProRIV
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http://linked.open...v/mistoKonaniAkce
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http://linked.open...i/riv/mistoVydani
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http://linked.open...i/riv/nazevZdroje
| - 17th International Conference on Process Control ´09
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http://linked.open...in/vavai/riv/obor
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http://linked.open...ichTvurcuVysledku
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http://linked.open...cetTvurcuVysledku
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http://linked.open...UplatneniVysledku
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http://linked.open...iv/tvurceVysledku
| - Pekař, Libor
- Prokop, Roman
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http://linked.open...vavai/riv/typAkce
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http://linked.open.../riv/zahajeniAkce
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http://linked.open...n/vavai/riv/zamer
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number of pages
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http://purl.org/ne...btex#hasPublisher
| - Slovenská technická univerzita v Bratislave
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https://schema.org/isbn
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http://localhost/t...ganizacniJednotka
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is http://linked.open...avai/riv/vysledek
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