On a stability of a quasipolynomial

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F70883521%3A28140%2F10%3A63509155" target="_blank" >RIV/70883521:28140/10:63509155 - isvavai.cz</a>

Result on the web

—

DOI - Digital Object Identifier

—

Result language

angličtina

Original language name

On a stability of a quasipolynomial

Original language description

The Laplace transform of a differential equation describing a system which contains delays in feedback loops results in a ratio of quasipolynomials, instead of obligatory polynomials as for delayless systems. Quasipolynomials can be then expressed as a linear combination of products of delay (exponential) terms and s-powers. The role of transfer function poles and that of the characteristic quasipolynomial is the same as in the traditional case. This paper utilizes the argument principle (the Mikhaylovcriterion) in order to study stability properties of a selected quasipolynomial. Upper and lower bounds for a free real parameter are found via lemmas and theorems which are not proven due to the limited space. The obtained results are examined by a simulation example.

Czech name

—

Czech description

—

Type

D - Article in proceedings

CEP classification

BC - Theory and management systems

OECD FORD branch

—

Project

—

Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2010

Confidentiality

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

Article name in the collection

Proceedings of the 21st International DAAAM Symposium "Intelligent Manufacturing & Automation: Focus on Interdisciplinary Solutions"

ISBN

978-3-901509-73-5

ISSN

—

e-ISSN

—

Number of pages

2

Pages from-to

—

Publisher name

DAAAM International Vienna

Place of publication

Vienna

Event location

Zadar, Croatia

Event date

Jan 1, 2010

Type of event by nationality

WRD - Celosvětová akce

UT code for WoS article

—