<abstract xmlns="http://www.w3.org/1999/xhtml"><p>The observer construction has a main importance in the control theory and its applications for the systems of infinite dimension. Even if the system’ state has an infinite dimension, its estimation is given using some physical measures of finite dimensions. Considering unbounded boundary observations operators and assuming that the exact observability property holds, we build some Luenberger like observers which assure the exponential stability of the error system under some regularity conditions.</p></abstract>

The observer construction has a main importance in the control theory and its applications for the systems of infinite dimension. Even if the system’ state has an infinite dimension, its estimation is given using some physical measures of finite dimensions. Considering unbounded boundary observations operators and assuming that the exact observability property holds, we build some Luenberger like observers which assure the exponential stability of the error system under some regularity conditions.

Theoretical observers for infinite dimensional skew-symmetric systems

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

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

{"article-title":"Theoretical observers for infinite dimensional skew-symmetric systems"}

The observer construction has a main importance in the control theory and its applications for the systems of infinite dimension. Even if the system’ state has...

Theoretical observers for infinite dimensional skew-symmetric systems

Published Online: Apr 09, 2020

Page range: 135 - 150

Received: Apr 07, 2019

Accepted: May 10, 2019

DOI: https://doi.org/10.2478/auom-2020-0010

Keywords
observability, operator, regularity, stability

© 2020 Deguenon Judicael et al., published by Sciendo

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

Theoretical observers for infinite dimensional skew-symmetric systems

Published Online: Apr 09, 2020

Page range: 135 - 150

Received: Apr 07, 2019

Accepted: May 10, 2019

DOI: https://doi.org/10.2478/auom-2020-0010

Keywordsobservability, operator, regularity, stability

© 2020 Deguenon Judicael et al., published by Sciendo

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

Keywords
observability, operator, regularity, stability