About: On a stability of a quasipolynomial

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
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 Mikhaylov criterion) 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. 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 Mikhaylov criterion) 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. (en)
Title	On a stability of a quasipolynomial On a stability of a quasipolynomial (en)
skos:prefLabel	On a stability of a quasipolynomial On a stability of a quasipolynomial (en)
skos:notation	RIV/70883521:28140/10:63509155!RIV11-MSM-28140___
http://linked.open...avai/riv/aktivita	Z
http://linked.open...avai/riv/aktivity	Z(MSM7088352102)
http://linked.open...vai/riv/dodaniDat	2011
http://linked.open...aciTvurceVysledku	Pekař, Libor Prokop, Roman
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Univerzita Tomáše Bati ve Zlíně / Fakulta aplikované informatiky
http://linked.open...dnocenehoVysledku	276638
http://linked.open...ai/riv/idVysledku	RIV/70883521:28140/10:63509155
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Quasipolynomial; stability analysis; delay systems (en)
http://linked.open.../riv/klicoveSlovo	stability analysis delay systems Quasipolynomial
http://linked.open...ontrolniKodProRIV	[083F6F828143]
http://linked.open...v/mistoKonaniAkce	Zadar, Croatia
http://linked.open...i/riv/mistoVydani	Vienna
http://linked.open...i/riv/nazevZdroje	Proceedings of the 21st International DAAAM Symposium %22Intelligent Manufacturing & Automation: Focus on Interdisciplinary Solutions%22
http://linked.open...in/vavai/riv/obor	BC
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...UplatneniVysledku	2010
http://linked.open...iv/tvurceVysledku	Pekař, Libor Prokop, Roman
http://linked.open...vavai/riv/typAkce	WRD - Světová
http://linked.open.../riv/zahajeniAkce	2010-01-01 (xsd:date)
http://linked.open...n/vavai/riv/zamer	Modeling and Control of Processing Procedures of Natural and Synthetic Polymers
number of pages	2 (xsd:int)
http://purl.org/ne...btex#hasPublisher	DAAAM International Vienna
https://schema.org/isbn	978-3-901509-73-5
http://localhost/t...ganizacniJednotka	28140
is http://linked.open...avai/riv/vysledek of	On a stability of a quasipolynomial On a stability of a quasipolynomial On a stability of a quasipolynomial

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