Browsing by Subject "Tip mass"

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    On the stabilization of a cable with a tip mass
    (IEEE, 1994) Morgül, Ö.; Rao, B. P.; Conrad, F.
    In this note, we consider a vertical cable which is pinched at the upper end. A mass is attached at the lower end where a control force is also applied. We show that this hybrid system is uniformly stabilized by choosing a suitable control law for the control force depending on the velocity and angular velocity at the free end. Moreover for specific values of the feedback coefficients, we obtain the rate of decay of the energy of the system.
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    On the stabilization of a flexible beam with a tip mass
    (Society for Industrial and Applied Mathematics, 1998-11) Conrad, F.; Morgül, Ö.
    We study the stability of a flexible beam that is clamped at one end and free at the other; a mass is also attached to the free end of the beam. To stabilize this system we apply a boundary control force at the free end of the beam. We prove that the closed-loop system is well-posed and is exponentially stable. We then analyze the spectrum of the system for a special case and prove that the spectrum determines the exponential decay rate for the considered case.