A novel frequency-domain approach for the exact range of imaginary spectra and the stability analysis of LTI systems with two delays
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F70883521%3A28140%2F20%3A63525250" target="_blank" >RIV/70883521:28140/20:63525250 - isvavai.cz</a>
Result on the web
<a href="https://ieeexplore.ieee.org/document/9000594" target="_blank" >https://ieeexplore.ieee.org/document/9000594</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1109/ACCESS.2020.2973834" target="_blank" >10.1109/ACCESS.2020.2973834</a>
Alternative languages
Result language
angličtina
Original language name
A novel frequency-domain approach for the exact range of imaginary spectra and the stability analysis of LTI systems with two delays
Original language description
This paper presents a novel frequency-domain approach to reveal the exact range of the imaginary spectra and the stability of linear time-invariant systems with two delays. First, an exact relation, i.e., the Rekasius substitution, is used to replace the exponential term caused by the delays in order to transform the transcendental characteristic equation to a quasi-polynomial. Second, this quasi-polynomial is uniquely tackled by our proposed Dixon resultant and discriminant theory, leading to the elimination of delay-related elements and the revelation of the exact range of the frequency spectra of the original system of interest. Then, by sweeping the frequency over this obtained range, the stability switching curves are declared exhaustively. Last, we deploy the cluster treatment of characteristic roots (CTCR) paradigm to reveal the exact and complete stability map. The proposed methodologies are tested and verified by a numerical method called Quasi-Polynomial mapping-based Root finder (QPmR) over an example case.
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)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
IEEE Access
ISSN
2169-3536
e-ISSN
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Volume of the periodical
8
Issue of the periodical within the volume
Neuveden
Country of publishing house
US - UNITED STATES
Number of pages
7
Pages from-to
36595-36601
UT code for WoS article
000524616200004
EID of the result in the Scopus database
2-s2.0-85081136503