• DocumentCode
    828724
  • Title

    On the metric complexity of casual linear systems: ε -Entropy and ε -Dimension for continuous time

  • Author

    Zames, G.

  • Author_Institution
    McGill University, Montreal, Quebec, Canada
  • Volume
    24
  • Issue
    2
  • fYear
    1979
  • fDate
    4/1/1979 12:00:00 AM
  • Firstpage
    222
  • Lastpage
    230
  • Abstract
    Estimates of ε-entropy and ε-dimension in the Kolmogorov sense are obtained for a class of causal, linear, time-invariant, continuous-time systems under the assumptions that impulse responses, satisfy an exponential order condition |f(t)| \\leq Ce ^{-at} , and frequency responses satisfy an attenuation condition |F(j\\omega )|\\leq K\\omega ^{-1} . The dependence of ε-entropy and ε-dimension on the accuracy ε is characterized by order, type, and power indexes. Similar results for the discrete-time case are reviewed and compared.
  • Keywords
    Entropy functions; Large-scale systems; Linear systems, time-invariant continuous-time; System identification; Attenuation; Complexity theory; Control systems; Cost function; Entropy; Feedback; Frequency estimation; Information processing; Linear systems; Sampling methods;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1979.1101976
  • Filename
    1101976
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=828724