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arXiv · 1902.08682

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

S. Avdonin·L. de Teresa
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Abstract

This paper is devoted to prove 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 consider the case where the coupling matrix A has distinct eigenvalues. We give a Kalman condition (necessary and sufficient) and give a description, non-optimal in general, of the attainable set.

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S. Avdonin, L. de Teresa. 2019-02-22. The Kalman condition for the boundary controllability of coupled 1-d wave equations. https://arxiv.org/abs/1902.08682

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