Abstract
We show, in a constructive way, that the set of equilibrium states like (yd,0) of a vibrating string that can approximately be reached in H1 0 (0,1)× L2(0,1) by varying its axial load and the gain of damping is dense in the subspace H1 0 (0,1)×{0} of this space.
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© 2010 Springer-Verlag Berlin Heidelberg
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Khapalov, A.Y. (2010). Controllability Properties of a Vibrating String with Variable Axial Load and Damping Gain. In: Controllability of Partial Differential Equations Governed by Multiplicative Controls. Lecture Notes in Mathematics(), vol 1995. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12413-6_6
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DOI: https://doi.org/10.1007/978-3-642-12413-6_6
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-12412-9
Online ISBN: 978-3-642-12413-6
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