| Abstract: | A flexible structure consisting of a Euler-Bernoulli beam with co-located sensors and actuators is considered.The control is a shear force in proportion to velocity.It is known that uniform exponential stability can be achieved with velocity feedback.A sensitivity asymptotic analysis of the system's eigenvalues and eigenfunctions is set up.The authors prove that,for K1 ∈ 0,+∞),all of the generalized eigenvectors of A form a Riesz basis of H.It is also proved that the optimal exponential decay rate can be obtained from the spectrum of the system for 0 ＜ Kl ＜ +∞. |
