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  • 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)
Title
  • Some Observations About the RMS Ring for Delayed Systems
  • Some Observations About the RMS Ring for Delayed Systems (en)
skos:prefLabel
  • Some Observations About the RMS Ring for Delayed Systems
  • Some Observations About the RMS Ring for Delayed Systems (en)
skos:notation
  • RIV/70883521:28140/09:63507932!RIV10-MSM-28140___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM7088352102)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 342361
http://linked.open...ai/riv/idVysledku
  • RIV/70883521:28140/09:63507932
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Time-delay systems; algebraic approach; RMS ring (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [471A76CB4A82]
http://linked.open...v/mistoKonaniAkce
  • Śtrbské Pleso, SR
http://linked.open...i/riv/mistoVydani
  • Bratislava
http://linked.open...i/riv/nazevZdroje
  • 17th International Conference on Process Control ´09
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Pekař, Libor
  • Prokop, Roman
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
http://linked.open...n/vavai/riv/zamer
number of pages
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  • Slovenská technická univerzita v Bratislave
https://schema.org/isbn
  • 978-80-227-3081-5
http://localhost/t...ganizacniJednotka
  • 28140
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