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Optimal boundary displacement control of string vibrations with a nonlocal oddness condition of the first kind
Authors:E I Moiseev  A A Kholomeeva
Institution:1.Moscow State University,Moscow,Russia
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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