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Controllability and Observability of the Descriptor Linear Systems Reduced to the Standard Ones by Feedbacks

Open Access
|Feb 2024

Abstract

In this paper, a new method for the reduction of the descriptor linear systems to standards ones is presented and verified. The method uses a state and/or state derivative feedback of output and output derivative feedback in order to transform the descriptor system into a standard one. The controllability and observability properties of the original descriptor as well as transformed standard systems are proved. Simple numerical examples illustrate the theorems introduced.

DOI: https://doi.org/10.2478/ama-2024-0015 | Journal eISSN: 2300-5319 | Journal ISSN: 1898-4088
Language: English
Page range: 119 - 122
Submitted on: Mar 23, 2023
Accepted on: Aug 20, 2023
Published on: Feb 29, 2024
Published by: Bialystok University of Technology
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2024 Tadeusz Kaczorek, Jerzy Klamka, Andrzej Dzieliński, published by Bialystok University of Technology
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.