Publication detail

Two-parameters formulas for general solution to planar weakly delayed linear discrete systems with multiple delays, equivalent non-delayed systems, and conditional stability.

DIBLÍK, J. HALFAROVÁ, H. ŠAFAŘÍK, J.

Original Title

Two-parameters formulas for general solution to planar weakly delayed linear discrete systems with multiple delays, equivalent non-delayed systems, and conditional stability.

Type

journal article in Web of Science

Language

English

Original Abstract

Weakly delayed planar linear discrete systems with multiple delays are considered. Formulas for general solutions are found and simplified, equivalent non-delayed planar linear discrete systems are constructed and conditional stability is analyzed. Results are illustrated by examples.

Keywords

General solution; Discrete system; Multiple delay; Weakly delayed system; Equivalent non-delayed system; Pasting of solutions; Conditional stability.

Authors

DIBLÍK, J.; HALFAROVÁ, H.; ŠAFAŘÍK, J.

Released

15. 12. 2023

Publisher

Elsevier

ISBN

0096-3003

Periodical

APPLIED MATHEMATICS AND COMPUTATION

Year of study

459

Number

12

State

United States of America

Pages from

1

Pages to

14

Pages count

14

URL

https://www.sciencedirect.com/science/article/pii/S0096300323004393?via%3Dihub

BibTex

@article{BUT185468,
  author="Josef {Diblík} and Hana {Halfarová} and Jan {Šafařík}",
  title="Two-parameters   formulas   for   general   solution   to   planar   weakly  delayed   linear   discrete   systems   with  multiple   delays,   equivalent  non-delayed   systems,   and   conditional   stability.",
  journal="APPLIED MATHEMATICS AND COMPUTATION",
  year="2023",
  volume="459",
  number="12",
  pages="1--14",
  doi="10.1016/j.amc.2023.128270",
  issn="0096-3003",
  url="https://www.sciencedirect.com/science/article/pii/S0096300323004393?via%3Dihub"
}