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Modern Mathematical Methods in Control Theory

The result's identifiers

  • Result code in 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>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Modern Mathematical Methods in Control Theory

  • Original language 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 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.

  • Czech name

  • Czech description

Classification

  • Type

    C - Chapter in a specialist book

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2006

  • Confidentiality

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

Data specific for result type

  • Book/collection name

    Simulation Modelling of Mechatronic Systems II

  • ISBN

    80-214-3341-8

  • Number of pages of the result

    11

  • Pages from-to

  • Number of pages of the book

    278

  • Publisher name

    Brno University of Technology

  • Place of publication

    Brno

  • UT code for WoS chapter