On the weighted sensitivity minimization problem for delay systems (Q1090649)

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scientific article; zbMATH DE number 4008197
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On the weighted sensitivity minimization problem for delay systems
scientific article; zbMATH DE number 4008197

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    On the weighted sensitivity minimization problem for delay systems (English)
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    1987
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    The paper deals with H-optimal sensitivity time-delay problems which are reduced to the Nehari problem: find \[ \mu:=\inf \{\| W-\phi q\|_{\infty}: q\in H^{\infty}(jR)\};\quad W(s)\in RH^{\infty}(jR),\quad \phi \in H^{\infty}(jR) \] where \(RH^{\infty}(jR):=space\) of essentially bounded rational functions on jR which admit an analytic extension to the right-half \(plane.\) H\({}^{\infty}(jR):=Banach\) space of essentially bounded functions on jR which admit an analytic extension to the right-half plane. From the text: ''In this paper we give a new and elegant solution to the Nehari problem for \(\phi =e^{-sh}\)''.
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    H-optimal sensitivity time-delay problems
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    Nehari problem
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