Rational approximation in linear systems and control (Q1587410)

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scientific article; zbMATH DE number 1533141
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Rational approximation in linear systems and control
scientific article; zbMATH DE number 1533141

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    Rational approximation in linear systems and control (English)
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    26 August 2001
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    It is possible to say that the paper is a ``oversurvey'' in the sense of giving no details but main ideas only from different large theories. The authors show how rational approximation appears by a natural way while solving problems from linear system theory. Let us give a list of considered problems: minimal partial realization, Hankel and \(H_2\) norm approximation of transfer functions, linear prediction (together with trigonometric moment problem, Nevanlinna-Pick interpolation and Nehari problem), \(H^{\infty}\) control, identification. Some recent generalizations are discussed too.
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    rational approximation
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    linear system theory
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    model reduction
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    identification
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