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

<p>This paper is devoted to the study of the problem of stabilization by proportional-plus-derivative state feedback for multivariable linear time-invariant systems. In particular, explicit necessary and sufficient conditions are established for the stability of a closed-loop system obtained by proportional-plus-derivative state feedback from the given multivariable linear time-invariant system. A procedure is given for the computation of stabilizing proportional-plus-derivative state feedback. Our approach is based on properties of real and polynomial matrices.</p>
</abstract>

This paper is devoted to the study of the problem of stabilization by proportional-plus-derivative state feedback for multivariable linear time-invariant systems. In particular, explicit necessary and sufficient conditions are established for the stability of a closed-loop system obtained by proportional-plus-derivative state feedback from the given multivariable linear time-invariant system. A procedure is given for the computation of stabilizing proportional-plus-derivative state feedback. Our approach is based on properties of real and polynomial matrices.

Stabilization of multivariable linear time-invariant systems by proportional-plus-derivative state feedback

Department of Aeronautical Sciences, Division of Automatic Control

Control and Cybernetics

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

This paper is devoted to the study of the problem of stabilization by proportional-plus-derivative state feedback for multivariable linear time-invariant...

Stabilization of multivariable linear time-invariant systems by proportional-plus-derivative state feedback

Published Online: Feb 24, 2024

Page range: 53 - 77

Received: Feb 01, 2023

Accepted: Jul 01, 2023

DOI: https://doi.org/10.2478/candc-2023-0032

Keywords
stabilization, proportional-plus-derivative state feedback, linear time-invariant systems

© 2023 Konstadinos H. Kiritsis, published by Sciendo

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

Stabilization of multivariable linear time-invariant systems by proportional-plus-derivative state feedback

Published Online: Feb 24, 2024

Page range: 53 - 77

Received: Feb 01, 2023

Accepted: Jul 01, 2023

DOI: https://doi.org/10.2478/candc-2023-0032

Keywordsstabilization, proportional-plus-derivative state feedback, linear time-invariant systems

© 2023 Konstadinos H. Kiritsis, published by Sciendo

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

Keywords
stabilization, proportional-plus-derivative state feedback, linear time-invariant systems