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The application of Carathéodory-Schur optimization - MaRDI portal

The application of Carathéodory-Schur optimization (Q1176081)

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scientific article; zbMATH DE number 13427
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The application of Carathéodory-Schur optimization
scientific article; zbMATH DE number 13427

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    The application of Carathéodory-Schur optimization (English)
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    25 June 1992
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    Recent trend in the study of robust control theory the Carathéodory- Fejér-Schur problem of the best approximation of bounded holomorphic functions \(f(z)\) in \(| z| <1\) was indicated a useful tool. This note outlines the basic structure of Carathéodory-Fejér-Schur problem and presents a method for determining the optimal rational function in \(H_ \infty\) that admits a given number of coefficients in its expansion. All the results are already known in the theory of complex function.
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    robust control theory
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    Carathéodory-Fejér-Schur problem
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