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

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  • 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.


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