Modern Mathematical Methods in Control Theory

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F06%3APU66096" target="_blank" >RIV/00216305:26210/06:PU66096 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Modern Mathematical Methods in Control Theory

Popis výsledku v původním jazyce

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 timelag 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.

Název v anglickém jazyce

Modern Mathematical Methods in Control Theory

Popis výsledku anglicky

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 timelag 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.

Druh

C - Kapitola v odborné knize

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

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Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2006

Kód důvěrnosti údajů

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

Název knihy nebo sborníku

Simulation Modelling of Mechatronic Systems II

ISBN

80-214-3341-8

Počet stran výsledku

11

Strana od-do

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Počet stran knihy

278

Název nakladatele

Brno University of Technology

Místo vydání

Brno

Kód UT WoS kapitoly

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