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
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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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
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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