Pointwise Completeness and Pointwise Degeneracy of Descriptor Linear Discrete-Time Systems with Different Fractional Orders

Tadeusz KACZOREK

doi:10.2478/ama-2025-0035

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Pointwise Completeness and Pointwise Degeneracy of Descriptor Linear Discrete-Time Systems with Different Fractional Orders

Acta Mechanica et Automatica

Volume 19 (2025): Issue 2 (June 2025)

By: Tadeusz KACZOREK

Open Access

|Jun 2025

Abstract

The solution to the system of equations of the descriptor linear discrete-time with different fractional orders is derived by the use of the Drazin inverse of matrices. This solution is applied to analysis of the pointwise completeness and the pointwise degeneracy of the descriptor discrete-time linear systems with different fractional orders. Necessary and sufficient conditions for the pointwise completeness and the pointwise degeneracy of the descriptor discrete–time linear systems with different fractional orders are established. The proposed methods are illustrated by numerical examples.

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Articles in this issue

DOI: https://doi.org/10.2478/ama-2025-0035 | Journal eISSN: 2300-5319 | Journal ISSN: 1898-4088

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Language: English

Page range: 288 - 291

Submitted on: Jul 13, 2024

Accepted on: Jun 6, 2025

Published on: Jun 26, 2025

Published by: Bialystok University of Technology

In partnership with: Paradigm Publishing Services

Publication frequency: 4 issues per year

Keywords:

drazin inverse,

descriptor,

discrete-time,

linear,

system,

pointwise completeness,

pointwise degeneracy,

fractional,

different orders

Related subjects:

Engineering,

Electrical engineering,

Electronics,

Mechanical engineering,

Mechanics,

Bioengineering and biomedical engineering,

Biomechanics,

Civil engineering,

Environmental engineering

© 2025 Tadeusz KACZOREK, published by Bialystok University of Technology
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 19 (2025): Issue 2 (June 2025)