Observability of square membranes by Fourier series methods
Автор: Komornik Vilmos, Loreti Paola
Рубрика: Математическое моделирование
Статья в выпуске: 3 т.8, 2015 года.
Бесплатный доступ
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.
Observability, nonharmonic fourier series, ingham''s theorem, wave equation
Короткий адрес: https://sciup.org/147159324
IDR: 147159324 | DOI: 10.14529/mmp150308
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