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Static \(H_\infty\)-optimization of periodic-coefficient systems - MaRDI portal

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Static \(H_\infty\)-optimization of periodic-coefficient systems (Q1881989)

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scientific article; zbMATH DE number 2108527
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English
Static \(H_\infty\)-optimization of periodic-coefficient systems
scientific article; zbMATH DE number 2108527

    Statements

    Static \(H_\infty\)-optimization of periodic-coefficient systems (English)
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    18 October 2004
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    Necessary and sufficient conditions for the existence of a static controller for \(H_{\infty}\)-optimization of systems with periodic coefficients under a general quadratic quality functional are expressed in terms of the solvability of a pair of Riccati differential inequalities. These conditions are shown to be equivalent to the solvability of a Riccati differential inequality with parameters. Examples are given.
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    periodic systems
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    \(H_{\infty}\) control
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    Riccati differential inequalities
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