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On metric dimensions of discrete-time systems - MaRDI portal

On metric dimensions of discrete-time systems (Q1199852)

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scientific article; zbMATH DE number 96179
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On metric dimensions of discrete-time systems
scientific article; zbMATH DE number 96179

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    On metric dimensions of discrete-time systems (English)
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    17 January 1993
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    In identification, information about an uncertain system in some universal space can be described by a subset that contains the uncertainty set of the system. This set is infinite dimensional and complicated in shape. For this reason the uncertainty is approximated by \(\varepsilon\)-nets (in the Kolmogorov sense). The paper deals with the description of these nets for discrete system of the form: \[ (Ku)_ t= \sum_{-\infty}^ \infty K_{t-k}u_ k \] where \(u\in \ell^ \infty\), \(K_ t=0\), \(t < 0\).
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    \(\varepsilon\)-nets
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