Publication detail

Modern Methods of Mathematical Modelling of System Control

Šlapal, J., Čermák, J.

Original Title

Modern Methods of Mathematical Modelling of System Control

Type

book chapter

Language

English

Original Abstract

The paper deals with two modern mathematical methods: a method that uses differential equations with a lag to model continuous systems and algebraic methods based on the theory of polynomials to model discrete linear systems. As an analytical solution to the equations in question on cannot be found, numerical approaches are necessary. The paper investigates the qualitative properties of numeric solutions. The modern methods used to control discrete systems are based on the theory of polynomials and polynomial matrices. As polynomials do not form a field bur only a ring, other rules than those for real numbers must be used for calculation. In the case of polynomial matrices, the situation is even more complex and therefore we will focus on their investigation.

Keywords

Discrete systems, continuous systems, control, differential equations, polynomials

Authors

Šlapal, J., Čermák, J.

RIV year

2005

Released

31. 12. 2005

Publisher

Vysoké učení technické v Brně

Location

Brno

ISBN

80-214-3144-X

Book

Modelling of Mechatronics Systems I

Edition

Fakulta strojního inženýrství

Edition number

1

Pages from

1

Pages to

10

Pages count

10

BibTex

@inbook{BUT55583,
  author="Josef {Šlapal} and Jan {Čermák}",
  title="Modern Methods of Mathematical Modelling of System Control",
  booktitle="Modelling of Mechatronics Systems I",
  year="2005",
  publisher="Vysoké učení technické v Brně",
  address="Brno",
  series="Fakulta strojního inženýrství",
  edition="1",
  pages="1--10",
  isbn="80-214-3144-X"
}