On identification of stable systems and optimal approximation (Q1180965)
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scientific article; zbMATH DE number 30287
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On identification of stable systems and optimal approximation |
scientific article; zbMATH DE number 30287 |
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On identification of stable systems and optimal approximation (English)
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27 June 1992
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The identification and optimal approximation of stable, continuous-time, possibly infinite-dimensional, SISO systems is considered both on the basis of analytical system representation and as approximation of input- output data. Approximative modelling is performed in the \(H^ \infty\) and Henkel norms, whilst the \(L^ 1\) and \(L^ 2\) norm cases are also discussed. The theory of approximation numbers is used as a tool for identification in a deterministic environment. Laguerre-Fourier series methods and Hankel operator techniques are utilized for the development of the proposed identification method. An illustrative example is included.
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approximation numbers
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Laguerre-Fourier series methods
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Hankel operator techniques
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identification method
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example
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