Publication detail

Exponential stability of linear discrete systems with constant coefficients and single delay.

DIBLÍK, J. BAŠTINEC, J. ŠAFAŘÍK, J. SIRENKO, A.

Original Title

Exponential stability of linear discrete systems with constant coefficients and single delay.

English Title

Exponential stability of linear discrete systems with constant coefficients and single delay.

Type

conference paper

Language

en

Original Abstract

In the paper we investigated the exponential stability of linear discrete systems of type x(k+1)=Ax(k)+Bx(k-m), where A,B are constant matrices and m is constant delay. We formulated conditions, where guaranted that the system is expontial stable solution and for arbitrary solutions exists concrete estimation.

English abstract

In the paper we investigated the exponential stability of linear discrete systems of type x(k+1)=Ax(k)+Bx(k-m), where A,B are constant matrices and m is constant delay. We formulated conditions, where guaranted that the system is expontial stable solution and for arbitrary solutions exists concrete estimation.

Keywords

exponential stability, linear discrete system, estimation of solution.

RIV year

2015

Released

27.05.2015

Publisher

Taras Shevchenko National University of Kyiv

Location

Kyjev, Ukrajina

ISBN

978-617-571-116-3

Book

Dynamical System, Modelling and Stability Investigation, 2015

Edition number

1.

Pages from

138

Pages to

139

Pages count

2

BibTex


@inproceedings{BUT114911,
  author="Josef {Diblík} and Jaromír {Baštinec} and Jan {Šafařík} and Andrii {Sirenko}",
  title="Exponential stability of linear discrete systems with constant coefficients and single delay.",
  annote="In the paper we investigated the exponential stability of linear discrete systems  of type x(k+1)=Ax(k)+Bx(k-m), where A,B are constant matrices and m is constant delay. We formulated  conditions, where guaranted that the system is expontial stable solution and for arbitrary solutions exists concrete estimation.",
  address="Taras Shevchenko National University of Kyiv",
  booktitle="Dynamical System, Modelling and Stability Investigation, 2015",
  chapter="114911",
  howpublished="print",
  institution="Taras Shevchenko National University of Kyiv",
  year="2015",
  month="may",
  pages="138--139",
  publisher="Taras Shevchenko National University of Kyiv",
  type="conference paper"
}