Publication detail

Study of interval stability of discrete systems by Lyapunov function method

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

Original Title

Study of interval stability of discrete systems by Lyapunov function method

English Title

Study of interval stability of discrete systems by Lyapunov function method

Type

conference paper

Language

en

Original Abstract

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.

English abstract

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.

Keywords

interval stability, lyapunov function, discrete systems

RIV year

2014

Released

19.06.2014

Publisher

UNOB

ISBN

978-80-7231-961-9

Book

MITAV 2014, Matematika, informatika a aplikované vědy

Pages from

1

Pages to

4

Pages count

4

Documents

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",
  annote="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.",
  address="UNOB",
  booktitle="MITAV 2014, Matematika, informatika a aplikované vědy",
  chapter="108337",
  howpublished="print",
  institution="UNOB",
  year="2014",
  month="june",
  pages="1--4",
  publisher="UNOB",
  type="conference paper"
}