<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</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.

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

Acta Mechanica et Automatica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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...

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

Pubblicato online: 29 feb 2024

Pagine: 119 - 122

Ricevuto: 23 mar 2023

Accettato: 20 ago 2023

DOI: https://doi.org/10.2478/ama-2024-0015

Parole chiave
controllability and observability, descriptor linear systems, state feedback, state derivative feedback, standard linear systems

© 2024 Tadeusz Kaczorek et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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

Pubblicato online: 29 feb 2024

Pagine: 119 - 122

Ricevuto: 23 mar 2023

Accettato: 20 ago 2023

DOI: https://doi.org/10.2478/ama-2024-0015

Parole chiavecontrollability and observability, descriptor linear systems, state feedback, state derivative feedback, standard linear systems

© 2024 Tadeusz Kaczorek et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Parole chiave
controllability and observability, descriptor linear systems, state feedback, state derivative feedback, standard linear systems