Differential and Integral Equations

Application of Ingham-Beurling-type theorems to coefficient identifiability of vibrating systems: finite time identifiability

Jin-De Chang and Bao-Zhu Guo

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Abstract

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

Article information

Source
Differential Integral Equations, Volume 21, Number 11-12 (2008), 1037-1054.

Dates
First available in Project Euclid: 14 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1355502293

Mathematical Reviews number (MathSciNet)
MR2482496

Zentralblatt MATH identifier
1224.93028

Subjects
Primary: 35R30: Inverse problems
Secondary: 35C10: Series solutions 93B30: System identification 93C20: Systems governed by partial differential equations

Citation

Chang, Jin-De; Guo, Bao-Zhu. Application of Ingham-Beurling-type theorems to coefficient identifiability of vibrating systems: finite time identifiability. Differential Integral Equations 21 (2008), no. 11-12, 1037--1054. https://projecteuclid.org/euclid.die/1355502293


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