Feedback stabilizability of infinite dimensional neutral systems

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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.

Original languageEnglish
Title of host publication2010 49th IEEE Conference on Decision and Control, CDC 2010
Pages702-707
Number of pages6
DOIs
Publication statusPublished - 2010
Event2010 49th IEEE Conference on Decision and Control, CDC 2010 - Atlanta, GA, United States
Duration: 15 Dec 201017 Dec 2010

Other

Other2010 49th IEEE Conference on Decision and Control, CDC 2010
CountryUnited States
CityAtlanta, GA
Period15/12/1017/12/10

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Keywords

  • Compact semigroup
  • Feedback stabilizability
  • Hilbert space
  • Infinite dimensional systems
  • Neutral systems

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modelling and Simulation
  • Control and Optimization

Cite this

Hadd, S., Nounou, H., & Nounou, M. (2010). Feedback stabilizability of infinite dimensional neutral systems. In 2010 49th IEEE Conference on Decision and Control, CDC 2010 (pp. 702-707). [5718048] https://doi.org/10.1109/CDC.2010.5718048