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

<p>Positive state controllability is the controllability of systems where the state is positive and the input remains in ℝ<sup>n</sup>. Under some conditions, we established a relation between the reachability map of systems with only the positive state and the reachability map of a related positive system where the state and input are both positive. Using this connection, necessary and sufficient conditions are obtained for the positive state reachability of discrete linear time-invariant (LTI) systems, and then we deduced the positive state controllability. These conditions are evaluated over some numerical examples that support the theoretical results.</p>
</abstract>

Positive state controllability is the controllability of systems where the state is positive and the input remains in ℝn. Under some conditions, we established a relation between the reachability map of systems with only the positive state and the reachability map of a related positive system where the state and input are both positive. Using this connection, necessary and sufficient conditions are obtained for the positive state reachability of discrete linear time-invariant (LTI) systems, and then we deduced the positive state controllability. These conditions are evaluated over some numerical examples that support the theoretical results.

Positive State Controllability of Discrete Linear Time-Invariant Systems

Faculty of Sciences, Department of Mathematics

Acta Mechanica et Automatica

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

{"article-title":"Positive State Controllability of Discrete Linear Time-Invariant Systems"}

Positive state controllability is the controllability of systems where the state is positive and the input remains in ℝn. Under some conditions, we established...

Positive State Controllability of Discrete Linear Time-Invariant Systems

Published Online: Feb 29, 2024

Page range: 110 - 118

Received: Apr 26, 2023

Accepted: Aug 08, 2023

DOI: https://doi.org/10.2478/ama-2024-0014

Keywords
discrete LTI systems, controllability, reachability map, positive control, positive state controllability

© 2024 Mourad Ouyadri et al., published by Sciendo

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

Positive State Controllability of Discrete Linear Time-Invariant Systems

Published Online: Feb 29, 2024

Page range: 110 - 118

Received: Apr 26, 2023

Accepted: Aug 08, 2023

DOI: https://doi.org/10.2478/ama-2024-0014

Keywordsdiscrete LTI systems, controllability, reachability map, positive control, positive state controllability

© 2024 Mourad Ouyadri et al., published by Sciendo

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

Keywords
discrete LTI systems, controllability, reachability map, positive control, positive state controllability