Feedback stabilizability of infinite dimensional neutral systems Conference Paper

abstract

• A new functional analytic approach to the concept of feedback stabilizability of infinite dimensional linear neutral systems is presented. We first reformulate this systems as an infinite dimensional open-loop systems with appropriate semigroups and unbounded control operators. We introduce conditions for which such semigroups are eventually compact. In addition, when the image of the control operator is finite dimensional, we give necessary and sufficient conditions for the feedback stabilizability of neutral system. Our approach is based on the concept of regular linear systems in the Salamon-Weiss sens.

name of conference

• 49th IEEE Conference on Decision and Control (CDC)

authors

• Nounou, Hazem
• Nounou, Mohamed

published proceedings

• 49TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC)

author list (cited authors)

• Hadd, S., Nounou, H., & Nounou, M.

citation count

• 0

complete list of authors

• Hadd, S||Nounou, H||Nounou, M

publication date

• December 2010

publisher

• Institute of Electrical and Electronics Engineers (IEEE)  Publisher

published in

• Proceedings of the ... IEEE Conference on Decision & Control / IEEE Control Systems Society. IEEE Conference on Decision & Control  Journal

keywords

• Compact Semigroup
• Feedback Stabilizability
• Hilbert Space
• Infinite Dimensional Systems
• Neutral Systems

Digital Object Identifier (DOI)

• 10.1109/CDC.2010.5718048

International Standard Book Number (ISBN) 13

• 9781424477456

start page

• 702

end page

• 707

URL

• http://dx.doi.org/10.1109/cdc.2010.5718048