Similarity to contraction and asymptotics of a class of infinite-dimensional discrete-time systems (Q2565401)
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scientific article
| Language | Label | Description | Also known as |
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| English | Similarity to contraction and asymptotics of a class of infinite-dimensional discrete-time systems |
scientific article |
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Similarity to contraction and asymptotics of a class of infinite-dimensional discrete-time systems (English)
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27 September 2005
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Summary: A class of infinite-dimensional discrete-time state operators is exhibited as concrete instances of power-bounded operators that are not similar to contractions. It is shown that such discrete-time systems arise from sampled feedback control of unstable continuous-time systems. The asymptotic behavior of the state operators of these discrete systems is not intimately related to their spectral radius.
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