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In this paper, we investigate an Euler-Bernoulli system with input delay in the boundary control. Suppose that there is no delay in observation, y(t), of the system, and a partial input delay in the boundary control. The collocated boundary feedback control law u(t) = y(t)+ y(t − ) is applied to obtain the closed loop system. By spectral analysis and Lyapunov method, we show that: when >| |, the closed loop system is exponentially stable for any >0; when <| |, the system is unstable for any >0; when =| |, the system is asymptotically stable for almost all >0. Finally, we provide numerical simulations to show the spectral distribution for different values of and .

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