Exact boundary controllability of an abstract Mead-Marcus Sandwich beam model

Authors

Ahmet Ozkan Ozer, Western Kentucky UniversityFollow
Scott Hansen, Iowa State University

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,[2]. Our abstract model also includes multilayer generalizations proposed by Hansen [7]. Our method is based on standard energy multipliers and Hilbert's uniqueness method. We obtain exact controllability in an arbitrarily small positive time.

Disciplines

Acoustics, Dynamics, and Controls | Applied Mathematics | Applied Mechanics | Control Theory | Partial Differential Equations | Physical Sciences and Mathematics

Recommended Repository Citation

Ozer, Ahmet Ozkan and Hansen, Scott. (2010). Exact boundary controllability of an abstract Mead-Marcus Sandwich beam model. The Proceedings of the 49th IEEE Conference on Decision & Control, 2578-2583.
Available at: https://digitalcommons.wku.edu/math_fac_pub/44