Optimal boundary displacement control of string vibrations with a nonlocal oddness condition of the first kind |
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Authors: | E I Moiseev A A Kholomeeva |
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Institution: | 1.Moscow State University,Moscow,Russia |
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Abstract: | We consider the problem of optimal boundary control by the displacement at left endpoint of a string in the case of a nonlocal
oddness boundary condition of the first kind. We obtain a necessary and sufficient condition for the problem controllability
under arbitrary initial and terminal conditions and construct a closed analytical form of the control itself under these conditions.
In addition, we consider the problem of optimal boundary control by the displacement at one endpoint of the string for a given
displacement mode at the other endpoint. |
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