Conditional stability of planar weakly delayed linear discrete systems with constant coefficients and a single delay

conference paper

English

Conditional stability of weakly delayed planar linear discrete systems with constant coefficients and a single delay x(k + 1) = Ax(k) + Bx(k − m) , k ≥ 0 is analyzed where A and B are nonzero 2 × 2 constant matrices and x: {−m, . . . , ∞} → R^2 is an unknown variable. This analysis is based on previously derived formulas describing general solutions of the system for every case of the Jordan form of the matrix A.

conditional stability; weakly dealyed system; discrete equations

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

1. 9. 2023

American Institute of Physics

Melville (USA)

0094-243X

AIP conference proceedings

2849

1

United States of America

370002-1

370002-4

4

https://pubs.aip.org/aip/acp/article-abstract/2849/1/370002/2909246/Conditional-stability-of-planar-weakly-delayed?redirectedFrom=fulltext