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Article

О невозможности приведения плоской мембраны в состояние покоя с помощью граничных сил

In this paper we will consider problems of the exact boundary control of vibrations of plane membranes. We say that the system is controllable to rest when for every initial condition we can find a control such that the corresponding solution hit zero in a finite time and will not leave zero in the future. It is proved that some distributed systems are not controllable to rest in a finite time if some conditions are imposed on the control function.