Title :
Exact boundary controllability of an abstract Mead-Marcus sandwich beam model
Author :
Hansen, Scott W. ; Ozer, A. Ozkan
Author_Institution :
Dept. of Math., Iowa State Univ., Ames, IA, USA
Abstract :
In this paper we prove the exact boundary controllability of an abstract beam system that is a generalization of a sandwich beam model due to Mead and Markus. Our abstract model also includes multilayer generalizations proposed by Hansen. Our method is based on standard energy multipliers and Hilbert´s uniqueness method. We obtain exact controllability in an arbitrarily small positive time.
Keywords :
beams (structures); controllability; Hilbert´s uniqueness method; abstract Mead-Marcus sandwich beam model; abstract beam system; abstract model; exact boundary controllability; multilayer generalization; standard energy multipliers; Controllability; Damping; Equations; Mathematical model; Nonhomogeneous media; Observability; USA Councils;
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.2010.5717319