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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, [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.