Publication result detail

On the Issue of Stability of Hybrid Automata by a Part of Variables

NOVOTNÁ, V.; KŘÍŽ, J.; BYCHKOV, O.; SUPRUN, O.

Original Title

On the Issue of Stability of Hybrid Automata by a Part of Variables

English Title

On the Issue of Stability of Hybrid Automata by a Part of Variables

Type

Scopus Article

Original Abstract

The problem of the stability of hybrid automata according to certain variables is considered. This problem is urgent and develops rapidly, especially in recent years. Aspects of its solution using the Lyapunov functions are also considered. The problem of hybrid automata stability regarding certain variables arises naturally for solving the applied problems. Namely, when based on the requirements of the normal functioning of an object, it is sufficient to ensure its stability only according to some variables. The article also shows how using the stated theorems one can investigate the stability of hybrid timed automata.

English abstract

The problem of the stability of hybrid automata according to certain variables is considered. This problem is urgent and develops rapidly, especially in recent years. Aspects of its solution using the Lyapunov functions are also considered. The problem of hybrid automata stability regarding certain variables arises naturally for solving the applied problems. Namely, when based on the requirements of the normal functioning of an object, it is sufficient to ensure its stability only according to some variables. The article also shows how using the stated theorems one can investigate the stability of hybrid timed automata.

Keywords

dynamical system, stability of a dynamical system, hybrid automata, hybrid timed automata, Lyapunov function

Key words in English

dynamical system, stability of a dynamical system, hybrid automata, hybrid timed automata, Lyapunov function

Authors

NOVOTNÁ, V.; KŘÍŽ, J.; BYCHKOV, O.; SUPRUN, O.

RIV year

2020

Released

31.10.2019

Publisher

Begell House

Location

Danbury

ISBN

1064-2315

Periodical

Journal of automation and information Sciences

Volume

50

Number

9

State

United States of America

Pages from

23

Pages to

30

Pages count

13

URL

http://www.dl.begellhouse.com/journals/2b6239406278e43e,29611dfa71d9c836,65e73b205670c0d9.html

BibTex

@article{BUT161815,
  author="Veronika {Novotná} and Jiří {Kříž} and Bychkov {Oleksii} and Olga {Suprun}",
  title="On the Issue of Stability of Hybrid Automata by a Part of Variables",
  journal="Journal of automation and information Sciences",
  year="2019",
  volume="50",
  number="9",
  pages="23--30",
  doi="10.1615/JAutomatInfScien.v51.i10.20",
  issn="1064-2315",
  url="http://www.dl.begellhouse.com/journals/2b6239406278e43e,29611dfa71d9c836,65e73b205670c0d9.html"
}