Abstract
For the string equation controlled by boundary conditions, we establish necessary and sufficient conditions for 0-and ε-controllability. The controls that solve such problems are found in explicit form. Moreover, using the Markov trigonometric moment problem, we construct bangbang controls that solve the problem of ε-controllability.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 59, No. 7, pp. 939–952, July, 2007.
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Fardigola, L.V., Khalina, K.S. Controllability problems for the string equation. Ukr Math J 59, 1040–1058 (2007). https://doi.org/10.1007/s11253-007-0068-2
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DOI: https://doi.org/10.1007/s11253-007-0068-2