Detail výsledku

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.
Typ
kapitola, resp. kapitoly v odborné knize
Jazyk
anglicky
Autoři
Šlapal Josef, prof. RNDr., CSc., ÚM (FSI)
Čermák Jan, prof. RNDr., CSc., ÚM OMA (FSI)
Abstrakt

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.

Klíčová slova

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

Rok
2007
Strany
3–14
Kniha
Simulation Modelling of Mechatronic Systems III
Řada
mechatronics
Vydání
1
ISBN
978-80-214-3559-9
Vydavatel
Brno University of Technology, Faculty of Mechanical Engineering
Místo
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"
}
Pracoviště
Ústav matematiky (ÚM)
Nahoru