Publication detail

Mathematical modeling via delay differential equations

KUNDRÁT, P.

Original Title

Mathematical modeling via delay differential equations

English Title

Mathematical modeling via delay differential equations

Type

conference paper

Language

Czech

Original Abstract

V článku jsou formulovány dva jednoduché matematické modely v robotice, využívající diferenciální rovnice se zpožděním. V prvním případě se jedná o ohraničené (konstantní) zpoždění a v druhém o neohraničené (proporcionální) zpoždění. Oba modely jsou doplněny některými výsledky kvalitativní analýzy řešení diferenciálních rovnic se zpožděním.

English abstract

In the article we formulate two simple mathematical models in robotics, where delay differential equations are utilized. The first model is the case of bounded (constant) delay and the second one is the case of unbounded (proportional) delay. Both models are supplemented by some results from qualitative analysis of solutions of delay differential equations.

Key words in English

delay differential equation, asymptotic stability

Authors

KUNDRÁT, P.

RIV year

2006

Released

15. 5. 2006

Publisher

Institute of Theoretical and Applied Mechanics Academy of Sciences of the Czech Republic

Location

Praha

ISBN

80-86246-27-2

Book

Engineering Mechanics 2006

Pages from

1

Pages to

6

Pages count

6

BibTex

@inproceedings{BUT18915,
  author="Petr {Tomášek}",
  title="Mathematical modeling via delay differential equations",
  booktitle="Engineering Mechanics 2006",
  year="2006",
  pages="1--6",
  publisher="Institute of Theoretical and Applied Mechanics Academy of Sciences of the Czech Republic",
  address="Praha",
  isbn="80-86246-27-2"
}