Similarity to Contraction and Asymptotics of a Class of Infinite-dimensional Discrete-time Systems
نویسنده
چکیده
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 continuoustime systems. The asymptotic behavior of the state operators of these discrete systems is not intimately related to their spectral radius.
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تاریخ انتشار 2005