Detail publikačního výsledku

Study of interval stability of discrete systems by Lyapunov function method

BAŠTINEC, J.; DIBLÍK, J.; KHUSAINOV, D.; SIRENKO, A.

Originální název

Study of interval stability of discrete systems by Lyapunov function method

Anglický název

Study of interval stability of discrete systems by Lyapunov function method

Druh

Stať ve sborníku v databázi WoS či Scopus

Originální abstrakt

In this paper we consider a system of linear differential equations with coefficients given by intervals.When considering the mathematical models of the economy, medicine or population dynamics, processes take place with some delay and more adequate mathematical models are systems with aftereffect. We will consider systems with coefficients given by intervals and with a single constant delay. Also for such systems conditions for asymptotic stability are obtained. The proof uses the second method of Lyapunov.

Anglický abstrakt

In this paper we consider a system of linear differential equations with coefficients given by intervals.When considering the mathematical models of the economy, medicine or population dynamics, processes take place with some delay and more adequate mathematical models are systems with aftereffect. We will consider systems with coefficients given by intervals and with a single constant delay. Also for such systems conditions for asymptotic stability are obtained. The proof uses the second method of Lyapunov.

Klíčová slova

interval stability, lyapunov function, discrete systems

Klíčová slova v angličtině

interval stability, lyapunov function, discrete systems

Autoři

BAŠTINEC, J.; DIBLÍK, J.; KHUSAINOV, D.; SIRENKO, A.

Vydáno

19.06.2014

Nakladatel

UNOB

ISBN

978-80-7231-961-9

Kniha

MITAV 2014, Matematika, informatika a aplikované vědy

Strany od

1

Strany do

4

Strany počet

4

BibTex

@inproceedings{BUT108337,
  author="Jaromír {Baštinec} and Josef {Diblík} and Denys {Khusainov} and Andrii {Sirenko}",
  title="Study of interval stability of discrete systems by Lyapunov function method",
  booktitle="MITAV 2014, Matematika, informatika a aplikované vědy",
  year="2014",
  pages="1--4",
  publisher="UNOB",
  isbn="978-80-7231-961-9"
}