In this paper, vibration reduction of a viscoelastic flexible beam conveying fluid with variable velocity is studied. A control is designed at the top boundary of the beam based on… Click to show full abstract
In this paper, vibration reduction of a viscoelastic flexible beam conveying fluid with variable velocity is studied. A control is designed at the top boundary of the beam based on original infinite dimensionality PDEs model and Lyapunov's direct method to reduce the beam's vibrations. The uniform stability under external disturbance and exponential stability without external disturbance are proved based on the proposed boundary control.
               
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