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Transformations of Linear Standard Systems to Positive Asymptotically Stable Linear Ones

Open Access
|Oct 2024

Abstract

New approaches to transformations of linear continuous-time systems to their positive asymptotically stable canonical controllable (observable) forms are proposed. It is shown that, if the system matrix is nonsingular, then the desired transformation matrix can be chosen in block diagonal form. Procedures for the computation of the transformation matrices are proposed and illustrated with simple numerical examples.

DOI: https://doi.org/10.61822/amcs-2024-0024 | Journal eISSN: 2083-8492 | Journal ISSN: 1641-876X
Language: English
Page range: 341 - 348
Submitted on: Jan 13, 2023
Accepted on: May 12, 2024
Published on: Oct 1, 2024
Published by: Sciendo
In partnership with: Paradigm Publishing Services
Publication frequency: 4 times per year

© 2024 Tadeusz Kaczorek, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.