A maximum principle is formulated for the active vibration control of plates of general shape with the control forces acting on the boundary. The applicability of the maximum principle is shown for plates that can have multiply-connected domains. The performance index is specified as a quadratic functional of displacement and velocity with a suitable penalty term involving the control forces. An explicit control law is derived with the help of an adjoint variable satisfying the adjoint differential equation and certain terminal conditions and the proposed maximum principle. The implementation of the theory is presented in two examples, and the effectiveness of the boundary control is investigated by a numerical example.
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