Publication detail
Classical and Fractional Mathematical Approaches to Modern Control Theory
ŠLAPAL, J. ČERMÁK, J.
English title
Classical and Fractional Mathematical Approaches to Modern Control Theory
Type
Chapter in a book
Language
en
Original abstract
Both the classical and the fractional approaches to the modern control theory are studied. In particular, we discuss fractional differential equations used in control theory and generalized polynomials that play an important role in solving these equations (with the help of Fourier transform). Some related algebraic problems are dealt with, too.
Keywords in English
Continuous control, differential equations with time lags, fractional differential equations, generalized polynomials, polynomial matrices, Smith's normal form.
Released
2007-12-31
Publisher
Brno University of Technology, Faculty of Mechanical Engineering
Location
Brno
ISBN
978-80-214-3559-9
Book
Simulation Modelling of Mechatronic Systems III
Pages from–to
3–14
Pages count
12
BIBTEX
@inbook{BUT55355,
author="Josef {Šlapal} and Jan {Čermák}",
title="Classical and Fractional Mathematical Approaches to Modern Control Theory",
booktitle="Simulation Modelling of Mechatronic Systems III",
year="2007",
publisher="Brno University of Technology, Faculty of Mechanical Engineering",
address="Brno",
series="mechatronics",
edition="1",
pages="3--14",
isbn="978-80-214-3559-9"
}