<abstract xmlns="http://www.w3.org/1999/xhtml"><p>For abstract linear systems in Hilbert spaces we revisit the problems of exact controllability and complete stabilizability (stabilizability with an arbitrary decay rate), the latter property being related to exact null controllability. We also consider the case when the feedback is not bounded. We obtain a characterization of complete stabilizability for neutral type systems. Conditions for exact null controllability of neutral type systems are discussed. By duality, we obtain a result about continuous final observability. Illustrative examples are given.</p></abstract>

For abstract linear systems in Hilbert spaces we revisit the problems of exact controllability and complete stabilizability (stabilizability with an arbitrary decay rate), the latter property being related to exact null controllability. We also consider the case when the feedback is not bounded. We obtain a characterization of complete stabilizability for neutral type systems. Conditions for exact null controllability of neutral type systems are discussed. By duality, we obtain a result about continuous final observability. Illustrative examples are given.

Exact null controllability, complete stabilizability and continuous final observability of neutral type systems

Research Institute of Communication and Cybernetics

Institute for Low Temperature Physics and Engineering

International Journal of Applied Mathematics and Computer Science

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

For abstract linear systems in Hilbert spaces we revisit the problems of exact controllability and complete stabilizability (stabilizability with an arbitrary...

Exact null controllability, complete stabilizability and continuous final observability of neutral type systems

Publicado en línea: 23 sept 2017

Páginas: 489 - 499

Recibido: 16 nov 2016

Aceptado: 07 jun 2017

DOI: https://doi.org/10.1515/amcs-2017-0034

Palabras clave
exact null controllability, complete stabilizability, final observability, neutral type system

© 2017 Rabah Rabah et al., published by De Gruyter Open

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

Exact null controllability, complete stabilizability and continuous final observability of neutral type systems

Publicado en línea: 23 sept 2017

Páginas: 489 - 499

Recibido: 16 nov 2016

Aceptado: 07 jun 2017

DOI: https://doi.org/10.1515/amcs-2017-0034

Palabras claveexact null controllability, complete stabilizability, final observability, neutral type system

© 2017 Rabah Rabah et al., published by De Gruyter Open

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

Palabras clave
exact null controllability, complete stabilizability, final observability, neutral type system