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