Browsing by Subject "Mathematical Techniques - Eigenvalues and Eigenfunctions"

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    Dynamic Boundary Control of a Euler-Bernoulli Beam
    (Institute of Electrical and Electronics Engineers, 1992) Morgül, Ö.
    We consider a flexible beam clamped to a rigid base at one end and free at the other end. To stabilize the beam vibrations, we propose a dynamic boundary force control and a dynamic boundary torque control applied at the free end of the beam. We prove that with the proposed controls, the beam vibrations decay exponentially. The proof uses a Lyapunov functional based on the energy functional of the system. © 1992 IEEE