APPLICATION OF INGHAM-BEURLING-TYPETHEOREMS TO COEFFICIENT IDENTIFIABILITY OFVIBRATING SYSTEMS: FINITE TIME IDENTIFIABILITY

摘要

The identifiability of spatial variable coefficients for the vi-brating string and Euler-Bernoulli beam are considered. It is shown thatthe coefficients can be determined by means of boundary control and ob-servation in a finite time duration. These results can be considered asthe generalization of infinite-time coefficients identifiability through theapplication of the Ingham-Beurling theorem.