• DocumentCode
    319978
  • Title

    Infinite time-horizon risk sensitive systems with quadratic growth

  • Author

    McEneaney, William M. ; Ito, Kazufumi

  • Author_Institution
    Dept. of Math., North Carolina State Univ., Raleigh, NC, USA
  • Volume
    4
  • fYear
    1997
  • fDate
    10-12 Dec 1997
  • Firstpage
    3413
  • Abstract
    Previous work on nonlinear infinite time-horizon risk sensitive systems has been restricted mainly to the case where the cost criterion is bounded or grows at most linearly. One would like the nonlinear theory to subsume the LEQG case. We consider nonlinear risk-sensitive systems where the cost criterion may grow quadratically. This leads to difficulties which are surprisingly formidable. For instance, the HJB equation typically has multiple classical solutions
  • Keywords
    feedback; nonlinear control systems; HJB equation; cost criterion; infinite time-horizon risk sensitive systems; nonlinear risk-sensitive systems; quadratic growth; Constraint theory; Control systems; Cost function; Ear; Indium tin oxide; Machinery; Mathematics; Nonlinear control systems; Nonlinear equations; Nonlinear systems;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
  • Conference_Location
    San Diego, CA
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-4187-2
  • Type

    conf

  • DOI
    10.1109/CDC.1997.652375
  • Filename
    652375