Title :
Feedback stabilizability of infinite dimensional neutral systems
Author :
Hadd, S. ; Nounou, H. ; Nounou, M.
Author_Institution :
Electr. & Comput. Eng. Program, Texas A&M Univ. at Qatar, Doha, Qatar
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.
Keywords :
feedback; group theory; open loop systems; partial differential equations; stability; Salamon-Weiss concept; feedback stabilizability concept; infinite dimensional neutral systems; infinite dimensional open-loop systems; regular linear systems concept; semigroups; Delay; Difference equations; Generators; Hilbert space; Linear systems; Radio access networks; Trajectory; Hilbert space; Neutral systems; compact semigroup; feedback stabilizability; infinite dimensional systems;
Conference_Titel :
Decision and Control (CDC), 2010 49th IEEE Conference on
Conference_Location :
Atlanta, GA
Print_ISBN :
978-1-4244-7745-6
DOI :
10.1109/CDC.2010.5718048
