• DocumentCode
    813532
  • Title

    Instability of feedback systems by orthogonal decomposition of L 2

  • Author

    Takeda, Shoich ; Bergen, Arthur R.

  • Author_Institution
    Mitsubishi Electric Corporation, Amagasaki, Japan
  • Volume
    18
  • Issue
    6
  • fYear
    1973
  • fDate
    12/1/1973 12:00:00 AM
  • Firstpage
    631
  • Lastpage
    636
  • Abstract
    A useful method for investigating the L2instability of the feedback interconnection of a linear unstable subsystem G and a nonlinear stable subsystem N is to resolve L2into two orthogonal spaces on the basis of the input-output behavior of G . This yields insight and permits simple proofs of various instability counterparts to stability theorems.
  • Keywords
    Interconnected systems; Linear systems, time-invariant continuous-time; Nonlinear systems, continuous-time; Stability; Computer industry; Electronics industry; Hilbert space; Industrial electronics; Laboratories; Stability; State feedback;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1973.1100449
  • Filename
    1100449
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=813532