Publication detail

Exponential-type estimates of solutions linear discrete systems with constant coefficients and single delay

DIBLÍK, J. RŮŽIČKOVÁ, M. VÁŽANOVÁ, G.

Original Title

Exponential-type estimates of solutions linear discrete systems with constant coefficients and single delay

English Title

Exponential-type estimates of solutions linear discrete systems with constant coefficients and single delay

Type

conference paper

Language

en

Original Abstract

The paper is concerned with linear systems of difference equations with single delay x (k + 1) = Ax (k) + Bx (k − m) , k = 0 , 1 , . . . where A, B are square constant matrices and m ∈ N. Exponential-type estimates for solutions are derived by the method of Lyapunov functions. Results are illustrated by examples.

English abstract

The paper is concerned with linear systems of difference equations with single delay x (k + 1) = Ax (k) + Bx (k − m) , k = 0 , 1 , . . . where A, B are square constant matrices and m ∈ N. Exponential-type estimates for solutions are derived by the method of Lyapunov functions. Results are illustrated by examples.

Keywords

Difference equation; single delay; exponential-type estimate; Lyapunov function

Released

24.07.2019

Publisher

AIP

ISBN

9780735418547

Book

AIP Conference Proceedings 2116

Pages from

310002-1

Pages to

310002-4

Pages count

4

URL

BibTex


@inproceedings{BUT158624,
  author="Josef {Diblík} and Miroslava {Růžičková} and Gabriela {Vážanová}",
  title="Exponential-type estimates of solutions linear discrete systems with constant coefficients and single delay",
  annote="The paper is concerned with linear systems of difference equations with single delay
x (k + 1) = Ax (k) + Bx (k − m) , k = 0 , 1 , . . .  where A, B are square constant matrices and m ∈ N.  Exponential-type estimates for solutions are derived by the method of Lyapunov functions. Results are illustrated by examples.",
  address="AIP",
  booktitle="AIP Conference Proceedings 2116",
  chapter="158624",
  doi="10.1063/1.5114309",
  howpublished="electronic, physical medium",
  institution="AIP",
  number="1",
  year="2019",
  month="july",
  pages="310002-1--310002-4",
  publisher="AIP",
  type="conference paper"
}