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This article is cited in 1 scientific paper (total in 1 paper)
Mathematical Modelling
Observability of square membranes by Fourier series methods
V. Komornika, P. Loretib a University of Strasbourg, Strasbourg, France
b Sapienza University of Rome, Rome, Italy
Abstract:
Fourier series methods have been successfully applied in control theory for a long time. Some theorems, however, resisted this approach. Some years ago, Mehrenberger succeeded in establishing the boundary observability of vibrating rectangular membranes (and of analogous higher dimensional problems) by developing an ingenious generalization of Ingham's classical theorem on nonharmonic Fourier series. His method turn out to be useful for other applications as well. We improve Mehrenberger's approach by a shorter proof, and we improve and generalize some earlier applications.
Keywords:
observability; nonharmonic Fourier series; Ingham's theorem; wave equation.
Received: 11.12.2014
Citation:
V. Komornik, P. Loreti, “Observability of square membranes by Fourier series methods”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 8:3 (2015), 127–140
Linking options:
https://www.mathnet.ru/eng/vyuru280 https://www.mathnet.ru/eng/vyuru/v8/i3/p127
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Abstract page: | 117 | Full-text PDF : | 57 | References: | 34 |
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