Publication result 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

Paper in proceedings (conference paper)

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

Key words in English

interval stability, lyapunov function, discrete systems

Authors

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

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

Full text in the Digital Library

http://hdl.handle.net/

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"
}