• DocumentCode
    1145909
  • Title

    A remark on the converging-input converging-state property

  • Author

    Sontag, Eduardo D.

  • Author_Institution
    Dept. of Math., Rutgers Univ., Brunswick, NJ, USA
  • Volume
    48
  • Issue
    2
  • fYear
    2003
  • Firstpage
    313
  • Lastpage
    314
  • Abstract
    Suppose that an equilibrium is asymptotically stable when external inputs vanish. Then, every bounded trajectory which corresponds to a control which approaches zero and which lies in the domain of attraction of the unforced system, must also converge to the equilibrium. This "well-known" but hard-to-cite fact is proved and slightly generalized here.
  • Keywords
    asymptotic stability; convergence; multidimensional systems; asymptotic stability; asymptotically stable equilibrium; bounded trajectory; converging-input converging-state property; domain of attraction; finite-dimensional controlled systems; unforced system; Asymptotic stability; Chemicals; Control systems; Extraterrestrial measurements; H infinity control; Instruction sets; Jacobian matrices; Mathematics; Steady-state;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2002.808490
  • Filename
    1178918
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1145909