• DocumentCode
    1155697
  • Title

    Data Rate Theorem for Stabilization Over Time-Varying Feedback Channels

  • Author

    Minero, Paolo ; Franceschetti, Massimo ; Dey, Subhrakanti ; Nair, Girish N.

  • Author_Institution
    Dept. of Electr. & Comput. Eng., Univ. of California, San Diego, CA
  • Volume
    54
  • Issue
    2
  • fYear
    2009
  • Firstpage
    243
  • Lastpage
    255
  • Abstract
    A data rate theorem for stabilization of a linear, discrete-time, dynamical system with arbitrarily large disturbances, over a rate-limited, time-varying communication channel is presented. Necessary and sufficient conditions for stabilization are derived, their implications and relationships with related results in the literature are discussed. The proof techniques rely on both information-theoretic and control-theoretic tools.
  • Keywords
    discrete time systems; linear systems; stability; time-varying systems; data rate theorem; discrete-time system stabilization; linear dynamical system stabilization; time-varying communication channel; time-varying feedback channels; Actuators; Communication channels; Communication system control; Entropy; Feedback loop; Source coding; Stability; Sufficient conditions; Time varying systems; Wireless sensor networks; Control under communication constraints; entropy; quantized control; source coding;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2008.2010887
  • Filename
    4782019