A Stability Test for Control Systems with Delays Based on the Nyquist Criterion
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F70883521%3A28140%2F11%3A43865977" target="_blank" >RIV/70883521:28140/11:43865977 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
A Stability Test for Control Systems with Delays Based on the Nyquist Criterion
Original language description
The aim of this contribution is to revise and extend results about stability and stabilization of a retarded quasipolynomial and systems obtained using the Mikhaylov criterion in our papers earlier. Not only retarded linear time-invariant time-delay systems (LTI-TDS) are considered in this paper; neutral as well as distributed-delay systems are the matter of the research. A LTI-TDS system of retarded type is said to be asymptotically stable if all its poles rest in the open left half plane. Asymptotic stability of neutral systems described by its spectrum is not sufficient to express the notion of stability at whole since neutral LTI-TDS are sensitive to infinitesimal delay changes. This yields the concept of so called strong stability involving this fact. Moreover, stability can not be studied using the characteristic quasipolynomial when distributed delays in either input-output or internal relation appear in a model. The contribution transforms the formulation of the Mikhaylov crite
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BC - Theory and management systems
OECD FORD branch
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Result continuities
Project
<a href="/en/project/ED2.1.00%2F03.0089" target="_blank" >ED2.1.00/03.0089: The Centre of Security, Information and Advanced Technologies (CEBIA-Tech)</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
International Journal of Mathematical Models and Methods in Applied Science
ISSN
1998-0140
e-ISSN
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Volume of the periodical
5
Issue of the periodical within the volume
6
Country of publishing house
GB - UNITED KINGDOM
Number of pages
12
Pages from-to
1213-1224
UT code for WoS article
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EID of the result in the Scopus database
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