Discrete–Time Linear Systems with Desired Poles and Zeros of the Transfer Matrices

Tadeusz Kaczorek; Łukasz Sajewski

doi:10.61822/amcs-2025-0005

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Discrete–Time Linear Systems with Desired Poles and Zeros of the Transfer Matrices

International Journal of Applied Mathematics and Computer Science

Volume 35 (2025): Issue 1 (March 2025)

By: Tadeusz Kaczorek and Łukasz Sajewski

Open Access

|Apr 2025

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.

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Articles in this issue

DOI: https://doi.org/10.61822/amcs-2025-0005 | Journal eISSN: 2083-8492 | Journal ISSN: 1641-876X

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Language: English

Page range: 59 - 68

Submitted on: Nov 20, 2023

Accepted on: Mar 24, 2024

Published on: Apr 1, 2025

Published by: University of Zielona Góra

In partnership with: Paradigm Publishing Services

Publication frequency: 4 issues per year

Keywords:

design method,

linear system,

discrete-time system,

nilpotent system,

pole,

zero,

transfer matrix

Related subjects:

Mathematics,

Applied mathematics

© 2025 Tadeusz Kaczorek, Łukasz Sajewski, published by University of Zielona Góra
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 35 (2025): Issue 1 (March 2025)