A Stability Test for Control Systems with Delays Based on the Nyquist Criterion

Kód výsledku v 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>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

A Stability Test for Control Systems with Delays Based on the Nyquist Criterion

Popis výsledku v původním jazyce

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

Název v anglickém jazyce

A Stability Test for Control Systems with Delays Based on the Nyquist Criterion

Popis výsledku anglicky

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

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BC - Teorie a systémy řízení

OECD FORD obor

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Projekt

<a href="/cs/project/ED2.1.00%2F03.0089" target="_blank" >ED2.1.00/03.0089: Centrum bezpečnostních, informačních a pokročilých technologií (CEBIA-Tech)</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2011

Kód důvěrnosti údajů

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

Název periodika

International Journal of Mathematical Models and Methods in Applied Science

ISSN

1998-0140

e-ISSN

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Svazek periodika

5

Číslo periodika v rámci svazku

6

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

12

Strana od-do

1213-1224

Kód UT WoS článku

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EID výsledku v databázi Scopus

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