Enhanced TDS Stability Analysis Method via Characteristic Quasipolynomial Polynomization

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F70883521%3A28140%2F17%3A63517004" target="_blank" >RIV/70883521:28140/17:63517004 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/chapter/10.1007/978-3-319-57264-2_3" target="_blank" >https://link.springer.com/chapter/10.1007/978-3-319-57264-2_3</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-319-57264-2_3" target="_blank" >10.1007/978-3-319-57264-2_3</a>

Result language
angličtina
Original language name
Enhanced TDS Stability Analysis Method via Characteristic Quasipolynomial Polynomization
Original language description
Time delay systems own infinite spectra which cannot be simply ana-lyzed or controlled. A way how to deal with this task consists of an approximation of the characteristic quasipolynomial by a polynomial that can be further handled via conventional tools. This contribution is aimed at an improved extrapolation method transforming a retarded quasipolynomial into a corresponding polyno-mial. It is equivalent to the finding of a finite-dimensional model related to an infinite-dimensional one describing a time delay system. The approximating pol-ynomial is then used to analyze the dependence of delay values to exponential stability of the system. Two ideas are adopted and compared here; namely, a lin-ear interpolation method via the Regula Falsi method, and the root Newton’s method with root tendency. The whole procedure is simply implementable by using standard software tools. To demonstrate this issue, a numerical example performed in MATLAB®&Simulink® environment is given to the reader.
Czech name
—
Czech description
—

Project
<a href="/en/project/LO1303" target="_blank" >LO1303: Promoting sustainability and development of the Centre for Security, Information and Advanced Technologies (CEBIA-Tech)</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
CYBERNETICS AND MATHEMATICS APPLICATIONS IN INTELLIGENT SYSTEMS, CSOC2017, VOL 2 Book Series: Advances in Intelligent Systems and Computing
ISBN
978-3-319-57264-2
ISSN
2194-5357
e-ISSN
neuvedeno
Number of pages
10
Pages from-to
20-29
Publisher name
Springer International Publishing AG
Place of publication
Cham
Event location
Zlín
Event date
Apr 26, 2017
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
—

Similar results(10)