Induced convolution operator norms of linear dynamical systems (Q1589789)
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scientific article; zbMATH DE number 1542556
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Induced convolution operator norms of linear dynamical systems |
scientific article; zbMATH DE number 1542556 |
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Induced convolution operator norms of linear dynamical systems (English)
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4 March 2004
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The authors present explicit formulas for convolution operator norm bounds induced by several classes of input-output signal pairs. The results generalize previous induced operator norms for linear dynamical systems valid for various classes of input-output signal pairs reported in [\textit{D. A. Wilson}, IEEE Trans. Autom. Control 34, 94-97 (1989; Zbl 0661.93022) and Induced norms for mixed \(H_2/H_\infty\) and \(H_2/H_\infty/ L_\infty\) control, Proc. IEEE Conf Dec. Control, New Orleans, LA, 3164-3168 (1995)].
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convolution operator norm
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input-output signal pairs
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