Similarity to contraction and asymptotics of a class of infinite‐dimensional discrete‐time systems | Zendy

Joseph Julien Yamé | Zendy

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

Author(s) -

Joseph Julien Yamé

Publication year - 2005

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/mpe.2005.87

Subject(s) - discrete time and continuous time , spectral radius , mathematics , bounded function , class (philosophy) , contraction (grammar) , state (computer science) , pure mathematics , mathematical analysis , computer science , eigenvalues and eigenvectors , physics , algorithm , medicine , statistics , quantum mechanics , artificial intelligence

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. Copyright © 2005 Hindawi Publishing Corporation.SCOPUS: ar.jinfo:eu-repo/semantics/publishe

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