Optimal boundary displacement control of string vibrations with a nonlocal oddness condition of the first kindстатья
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Дата последнего поиска статьи во внешних источниках: 18 июля 2013 г.
Аннотация: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.