Article Contents
Article Contents

# The Kalman condition for the boundary controllability of coupled 1-d wave equations

• The focus of this paper is the exact controllability of a system of $N$ one-dimensional coupled wave equations when the control is exerted on a part of the boundary by means of one control. We give a Kalman condition (necessary and sufficient) and give a description of the attainable set. In general, this set is not optimal, but can be refined under certain conditions.

Mathematics Subject Classification: Primary: 35Q93, 93B05; Secondary: 35L05, 15A18.

 Citation:

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