• DocumentCode
    1310466
  • Title

    On the algorithmic unsolvability of some stability problems for hybrid systems

  • Author

    Toker, Onur

  • Author_Institution
    Coll. of Comput. Sci. & Eng., King Fahd Univ. of Pet. & Miner., Dhahran, Saudi Arabia
  • Volume
    45
  • Issue
    1
  • fYear
    2000
  • fDate
    1/1/2000 12:00:00 AM
  • Firstpage
    165
  • Lastpage
    168
  • Abstract
    We define two stability problems for a class of hybrid systems containing asynchronous iterative processes and prove these problems are algorithmically unsolvable. Furthermore, we also show some reachability problems for asynchronous iterative processes are algorithmically unsolvable
  • Keywords
    asymptotic stability; computability; matrix algebra; algorithmic unsolvability; asynchronous iterative processes; hybrid systems; reachability problems; stability problems; Asymptotic stability; Computational complexity; Computer science; Iterative algorithms; Minerals; Petroleum; Polynomials; Sufficient conditions; Supervisory control; System testing;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.827377
  • Filename
    827377