About: Modern Mathematical Methods in Control Theory

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	The article summarises the results achieved by studying selected modern mathematical methods used in control theory. In the field of continuous control, we will focus on optimization theory, on mathematical modelling by differential equations with a time lag and on the control of systems defined by differential equations of non-integer orders. As the last-mentioned equations are transformed into polynomials with non-integer coefficients by a Laplace transform, the algebraic structure formed by such polynomials will be described and studied in some detail. In the field of discrete control, we will concentrate on the mathematical synthesis of a control system and therefore will investigate Euclidean domains and linear diophantine equations for both polynomials and polynomial matrices. The article summarises the results achieved by studying selected modern mathematical methods used in control theory. In the field of continuous control, we will focus on optimization theory, on mathematical modelling by differential equations with a time lag and on the control of systems defined by differential equations of non-integer orders. As the last-mentioned equations are transformed into polynomials with non-integer coefficients by a Laplace transform, the algebraic structure formed by such polynomials will be described and studied in some detail. In the field of discrete control, we will concentrate on the mathematical synthesis of a control system and therefore will investigate Euclidean domains and linear diophantine equations for both polynomials and polynomial matrices. (en)
Title	Modern Mathematical Methods in Control Theory Modern Mathematical Methods in Control Theory (en)
skos:prefLabel	Modern Mathematical Methods in Control Theory Modern Mathematical Methods in Control Theory (en)
skos:notation	RIV/00216305:26210/06:PU66096!RIV10-MSM-26210___
http://linked.open...avai/riv/aktivita	Z
http://linked.open...avai/riv/aktivity	Z(MSM0021630518)
http://linked.open...vai/riv/dodaniDat	2010
http://linked.open...aciTvurceVysledku	Čermák, Jan Šlapal, Josef
http://linked.open.../riv/druhVysledku	C - Kapitola v knize
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Vysoké učení technické v Brně / Fakulta strojního inženýrství
http://linked.open...dnocenehoVysledku	486430
http://linked.open...ai/riv/idVysledku	RIV/00216305:26210/06:PU66096
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	control theory, energetic optimization,quantitative analysis, fractional calculus, euclidean rings, diophantine equations, closure oparators (en)
http://linked.open.../riv/klicoveSlovo	energetic optimization control theory diophantine equations fractional calculus quantitative analysis closure oparators euclidean rings
http://linked.open...ontrolniKodProRIV	[1A71CEE34A53]
http://linked.open...i/riv/mistoVydani	Brno
http://linked.open...vEdiceCisloSvazku	mechatronics
http://linked.open...i/riv/nazevZdroje	Simulation Modelling of Mechatronic Systems II
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...v/pocetStranKnihy	278 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...UplatneniVysledku	2006
http://linked.open...iv/tvurceVysledku	Šlapal, Josef Čermák, Jan
http://linked.open...n/vavai/riv/zamer	Simulation modelling of mechatronics systems
number of pages	11 (xsd:int)
http://purl.org/ne...btex#hasPublisher	Vysoké učení technické v Brně
https://schema.org/isbn	80-214-3341-8
http://localhost/t...ganizacniJednotka	26210

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