Title

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

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

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