Optimal boundary force control at one end of a string for a given displacement mode at the other end |
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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 solve the problem of optimal boundary force control at one end of a string for the case of a given displacement mode at
the other end. The problem is studied in the sense of a generalized solution of the corresponding mixed initial-boundary value
problem in the Sobolev space. We also solve the problem of choosing an optimal boundary control from infinitely many feasible
controls. The generalized solution of the mixed initial-boundary value problem is constructed in closed form, and the uniqueness
of the solution is proved. |
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