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The Revision and Extension of the RMS Ring for Time Delay Systems

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F70883521%3A28140%2F17%3A63517003" target="_blank" >RIV/70883521:28140/17:63517003 - isvavai.cz</a>

  • Result on the web

    <a href="https://www.degruyter.com/downloadpdf/j/bpasts.2017.65.issue-3/bpasts-2017-0038/bpasts-2017-0038.pdf" target="_blank" >https://www.degruyter.com/downloadpdf/j/bpasts.2017.65.issue-3/bpasts-2017-0038/bpasts-2017-0038.pdf</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1515/bpasts-2017-0038" target="_blank" >10.1515/bpasts-2017-0038</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    The Revision and Extension of the RMS Ring for Time Delay Systems

  • Original language description

    Zítek and Kučera [1] introduced the ring of retarded quasipolynomial meromorphic functions (RMS), as a convenient control design tool for linear time-invariant time delay systems (TDS). The idea and parlance of this algebraic structure have been the cornerstone of the authors’ recent research on TDS. However, it has been found that the original definition does not constitute a ring and has some essential deficiencies, and hence it could not be used for an algebraic control design without a thorough reformulation which i.a. extends the usability to neutral TDS and to those with distributed delays. This contribution summarizes the original definition of RMS, simply highlights its deficiencies via examples and suggests a possible new extended definition. Hence, the new ring of quasipolynomial meromorphic functions (RQM) is established to avoid confusion. The paper also investigates and introduces selected algebraic properties supported by some illustrative examples and concisely outline its use when controller designing.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    20205 - Automation and control systems

Result continuities

  • Project

    <a href="/en/project/ED2.1.00%2F19.0376" target="_blank" >ED2.1.00/19.0376: CEBIA - Tech Instrumentation</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2017

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Bulletin of the Polish Academy of Sciences: Technical Sciences

  • ISSN

    0239-7528

  • e-ISSN

  • Volume of the periodical

    65

  • Issue of the periodical within the volume

    3

  • Country of publishing house

    PL - POLAND

  • Number of pages

    10

  • Pages from-to

    341-350

  • UT code for WoS article

    000404972400007

  • EID of the result in the Scopus database

    2-s2.0-85027503087