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

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

Paper in proceedings (conference paper)

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 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

conditional stability; weakly dealyed system; discrete equations

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

2024

01.09.2023

American Institute of Physics

Melville (USA)

AIP Conference Proceedings, International Conference on Numerical Analysis and Applied Mathematics 2021, ICNAAM 2021

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