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Construction of the Control Realizing the Rotation of a Timoshenko Beam
Authors:Kororbov  V I  Krabs  W  Skylar  G M
Institution:(1) Institute of Mathematics, Szczecin University, Szczecin, Poland;(2) Department of Differential Equations and Control, Kharkov State University, Kharkov, Ukraine;(3) Technische Universität Darmstadt, Fachbereich Mathematik, Darmstadt, Germany;(4) Department of Mathematical Analysis, Kharkov State University, Kharkov, Ukraine
Abstract:We consider the linear model of a slowly rotating Timoshenko beam in a horizontal plane whose moment is controlled by the angular acceleration of the disk of the driving motor into which the beam is clamped. This work complements our previous results on the controllability of the beam from a position of rest into another position of rest; we give a method of construction of a piecewise constant control solving the problem.
Keywords:Timoshenko beam  controllability  moment problem  piecewise constant control
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