Identifiability of Variable Coefficients for Vibrating Systems by Boundary Control and Observation in Finite Time Duration

摘要

The identifiability of spatial variable coefficients for vibration string and Euler-Bernoulli beam are considered. It is shown that the coefficients can be determined by means of boundary control and observation in finite time duration. These results can be considered as the generalization of infinite time coefficients identifiability through the application of Ingham-Beurling theorem.