Detail publikace

Study of interval stability of discrete systems by Lyapunov function method

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

Jazyk

en

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.

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"
}