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

Type

conference paper

Language

English

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.

Keywords

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

Authors

DIBLÍK, J.; RŮŽIČKOVÁ, M.; VÁŽANOVÁ, G.

Released

24. 7. 2019

Publisher

AIP

ISBN

9780735418547

Book

AIP Conference Proceedings 2116

ISBN

0094-243X

Periodical

AIP conference proceedings

Year of study

2116

Number

1

State

United States of America

Pages from

310002-1

Pages to

310002-4

Pages count

4

URL

https://aip.scitation.org/doi/abs/10.1063/1.5114309