Discrete-time linear systems with desired poles and zeros of the transfer matrices

Methods for the design of discrete-time linear systems with desired poles and zeros of their transfer matrices are proposed. Conditions for the existence of the solution to the problem and the procedures for computation of the desired matrices are given. Reduction of the systems with controllable and observable pairs to those with nilpotent matrices is analysed. The procedures are illustrated by simple numerical examples of linear discrete-time systems.

Authors

Publication Details

Journal
International Journal of Applied Mathematics and Computer Science
Published
2025-01-01
DOI
https://doi.org/10.61822/amcs-2025-0005
Primary Topic
Matrix Theory and Algorithms
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Discrete-time linear systems with desired poles and zeros of the transfer matrices

Łukasz Sajewski, Tadeusz Kaczorek
International Journal of Applied Mathematics and Computer Science
Matrix Theory and Algorithms
article

Discrete-time linear systems with desired poles and zeros of the transfer matrices

Łukasz Sajewski, Tadeusz Kaczorek
article en

Abstract

Methods for the design of discrete-time linear systems with desired poles and zeros of their transfer matrices are proposed. Conditions for the existence of the solution to the problem and the procedures for computation of the desired matrices are given. Reduction of the systems with controllable and observable pairs to those with nilpotent matrices is analysed. The procedures are illustrated by simple numerical examples of linear discrete-time systems.

International Journal of Applied Mathematics and Computer ScienceVol. 35(1)
Openalex Percentile: Top 93%
Matrix Theory and Algorithms
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Discrete-time linear systems with desired poles and zeros of the transfer matrices — Łukasz Sajewski, Tadeusz Kaczorek · International Journal of Applied Mathematics and Computer Science (2025) | TGRS Research Map | TGRS