• DocumentCode
    3132825
  • Title

    A local stability condition for optimal control problems

  • Author

    Sorger, Gerhard

  • Author_Institution
    Fac. of Manage., Toronto Univ., Ont., Canada
  • fYear
    1989
  • fDate
    13-15 Dec 1989
  • Firstpage
    288
  • Abstract
    The modified Hamiltonian dynamical system associated with a discounted infinite-horizon optimal control problem is considered. It is shown that the sufficient conditions for global asymptotic stability developed by the author (J. Econ. Theory, vol.48, 1989) are also necessary for local asymptotic stability, if the stationary point under consideration is symmetric or the discount rate is zero
  • Keywords
    optimal control; stability; discounted infinite-horizon optimal control; global asymptotic stability; local stability condition; modified Hamiltonian dynamical system; stationary point; Asymptotic stability; Differential equations; Infinite horizon; Jacobian matrices; Mathematics; Optimal control; Sufficient conditions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1989., Proceedings of the 28th IEEE Conference on
  • Conference_Location
    Tampa, FL
  • Type

    conf

  • DOI
    10.1109/CDC.1989.70119
  • Filename
    70119