Controllability problems for the string equation |
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Authors: | L. V. Fardigola K. S. Khalina |
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Affiliation: | (1) Physicotechnical Institute of Low Temperatures, Kharkiv |
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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. __________ Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 59, No. 7, pp. 939–952, July, 2007. |
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