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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	Real dynamical systems often show some time lag between a change of an input and the corresponding change of the output. This time lag has a whole range of causes. For needs of mathematical modelling, it is aggregated into a total phenomenon called time delay or dead time. If a real system with time delay is modelled as a time invariant linear system, its transfer function (rational function) becomes due to time delay a transcendental function. Most of methods used for analysis and synthesis of control systems are developed for transfer functions in the form of rational functions only. If these methods have to be used also for dynamical systems with time delay then it is necessary to approximate transfer functions of time delay by means of rational functions. Approximations usually use either Padé approximation or Taylor series of the exponential function. A simple modification of Padé approximation is given in the contribution. It improves its time behaviour not only close to the origin but also in longer time ranges. Real dynamical systems often show some time lag between a change of an input and the corresponding change of the output. This time lag has a whole range of causes. For needs of mathematical modelling, it is aggregated into a total phenomenon called time delay or dead time. If a real system with time delay is modelled as a time invariant linear system, its transfer function (rational function) becomes due to time delay a transcendental function. Most of methods used for analysis and synthesis of control systems are developed for transfer functions in the form of rational functions only. If these methods have to be used also for dynamical systems with time delay then it is necessary to approximate transfer functions of time delay by means of rational functions. Approximations usually use either Padé approximation or Taylor series of the exponential function. A simple modification of Padé approximation is given in the contribution. It improves its time behaviour not only close to the origin but also in longer time ranges. (en)
Title	Comparison of Rational Approximations of Time Delay Comparison of Rational Approximations of Time Delay (en)
skos:prefLabel	Comparison of Rational Approximations of Time Delay Comparison of Rational Approximations of Time Delay (en)
skos:notation	RIV/60461373:22340/12:43893280!RIV13-MSM-22340___
http://linked.open...avai/predkladatel	Fakulta chemicko-inženýrská
http://linked.open...avai/riv/aktivita	Z
http://linked.open...avai/riv/aktivity	Z(MSM6046137306)
http://linked.open...vai/riv/dodaniDat	2013
http://linked.open...aciTvurceVysledku	Hanta, Vladimír Poživil, Jaroslav
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	Vysoká škola chemicko-technologická v Praze / Fakulta chemicko-inženýrská
http://linked.open...dnocenehoVysledku	128011
http://linked.open...ai/riv/idVysledku	RIV/60461373:22340/12:43893280
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Taylor approximation; Padé approximation; rational approximation of time delay; dead time; time delay; linear t-invariant systems (en)
http://linked.open.../riv/klicoveSlovo	Padé approximation time delay Taylor approximation dead time linear t-invariant systems rational approximation of time delay
http://linked.open...ontrolniKodProRIV	[379B8C9986AA]
http://linked.open...v/mistoKonaniAkce	Tatranské Matliare
http://linked.open...i/riv/mistoVydani	Bratislava
http://linked.open...i/riv/nazevZdroje	39th International Conference of Slovak Society of Chemical Engineering
http://linked.open...in/vavai/riv/obor	JD
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...UplatneniVysledku	2012
http://linked.open...iv/tvurceVysledku	Hanta, Vladimír Poživil, Jaroslav
http://linked.open...vavai/riv/typAkce	WRD - Světová
http://linked.open.../riv/zahajeniAkce	2012-05-21 (xsd:date)
http://linked.open...n/vavai/riv/zamer	Reakčně-transportní chemicko-inženýrské systémy a jejich dynamické chování, modelování a řízení chemických a biotechnologických procesů
number of pages	7 (xsd:int)
http://purl.org/ne...btex#hasPublisher	Slovak Society of Chemical Engineering
https://schema.org/isbn	978-80-89475-04-9
http://localhost/t...ganizacniJednotka	22340
is http://linked.open...avai/riv/vysledek of	Comparison of Rational Approximations of Time Delay

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