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

<p>In this work, we consider the partial observability problem for finite dimensional dynamical linear systems that are not necessarily observable. For that purpose we introduce the so called “observable subspaces” and “partial observability” to find a way to reconstruct the observable part of the system state. Some characterizations of “observable subspaces” have been provided. The reconstruction of the orthogonal projection of the state on the observable subspace is obtained. We give some examples to illustrate our theoretical approach.</p>
</abstract>

In this work, we consider the partial observability problem for finite dimensional dynamical linear systems that are not necessarily observable. For that purpose we introduce the so called “observable subspaces” and “partial observability” to find a way to reconstruct the observable part of the system state. Some characterizations of “observable subspaces” have been provided. The reconstruction of the orthogonal projection of the state on the observable subspace is obtained. We give some examples to illustrate our theoretical approach.

Partial observability of finite dimensional linear systems

Control and Cybernetics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Partial observability of finite dimensional linear systems"}

In this work, we consider the partial observability problem for finite dimensional dynamical linear systems that are not necessarily observable. For that...

Partial observability of finite dimensional linear systems

Publié en ligne: 28 juin 2022

Pages: 269 - 300

Reçu: 01 mars 2020

Accepté: 01 févr. 2021

DOI: https://doi.org/10.2478/candc-2021-0014

Mots clés
partial observation, linear system, observable subspace, system state reconstruction

© 2021 Mohamed Elkhail Danine et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Partial observability of finite dimensional linear systems

Publié en ligne: 28 juin 2022

Pages: 269 - 300

Reçu: 01 mars 2020

Accepté: 01 févr. 2021

DOI: https://doi.org/10.2478/candc-2021-0014

Mots cléspartial observation, linear system, observable subspace, system state reconstruction

© 2021 Mohamed Elkhail Danine et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Mots clés
partial observation, linear system, observable subspace, system state reconstruction