Similarity to contraction and asymptotics of a class of infinite-dimensional discrete-time systems

Joseph J. Yamé

Mathematical Problems in Engineering, 2005, vol. 2005, 1-13

Abstract:

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.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:845140

DOI: 10.1155/MPE.2005.87

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