Result Details

Classical and Fractional Mathematical Approaches to Modern Control Theory

ŠLAPAL, J.; ČERMÁK, J. Classical and Fractional Mathematical Approaches to Modern Control Theory. In Simulation Modelling of Mechatronic Systems III. mechatronics. Brno: Brno University of Technology, Faculty of Mechanical Engineering, 2007. p. 3-14. ISBN: 978-80-214-3559-9.
Type
chapter in a book
Language
English
Authors
Šlapal Josef, prof. RNDr., CSc., IM (FME)
Čermák Jan, prof. RNDr., CSc., IM DMA (FME)
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

Continuous control, differential equations with time lags, fractional differential equations, generalized polynomials, polynomial matrices, Smith's normal form.

Published
2007
Pages
3–14
Book
Simulation Modelling of Mechatronic Systems III
Series
mechatronics
Edition
1
ISBN
978-80-214-3559-9
Publisher
Brno University of Technology, Faculty of Mechanical Engineering
Place
Brno
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"
}
Departments
Institute of Mathematics (IM)
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