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

Josef Diblík, Hana Halfarová and Jan Šafařík

Applied Mathematics and Computation, 2023, vol. 459, issue C

Abstract: Weakly delayed planar linear discrete systems with multiple delaysx(k+1)=Dx(k)+∑l=1nHlx(k−ml),k=0,1,… are considered where m1,m2,…,mn are fixed integers, D, H1, …, Hn are nonzero 2×2 real constant matrices and x:{−mn,−mn+1,…}→R2. 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 (search for similar items in EconPapers)
Date: 2023
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300323004393
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:459:y:2023:i:c:s0096300323004393

DOI: 10.1016/j.amc.2023.128270

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().