Publication detail

Classical and Fractional Mathematical Approaches to Modern Control Theory

ŠLAPAL, J. ČERMÁK, J.

Original Title

Classical and Fractional Mathematical Approaches to Modern Control Theory

Type

book chapter

Language

English

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

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

Authors

ŠLAPAL, J.; ČERMÁK, J.

RIV year

2007

Released

31. 12. 2007

Publisher

Brno University of Technology, Faculty of Mechanical Engineering

Location

Brno

ISBN

978-80-214-3559-9

Book

Simulation Modelling of Mechatronic Systems III

Edition

mechatronics

Edition number

1

Pages from

3

Pages to

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"
}