The maximum principle for the nonlinear stochastic optimal control problem of switching systems

  • Authors:
  • Charkaz Aghayeva;Qurban Abushov

  • Affiliations:
  • Department of Statistics, Faculty of Science and Letters, Yasar University, Bornova, Turkey 35100;Institute of Cybernetics, Azerbaijan National Academy of Science, Baku, Azerbaijan 1141

  • Venue:
  • Journal of Global Optimization
  • Year:
  • 2013

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Abstract

The aim of this paper is to present a stochastic maximum principle for an optimal control problem of switching systems. It presents necessary conditions of optimality in the form of a maximum principle for stochastic switching systems, in which the dynamic of the constituent processes takes the form of stochastic differential equations. The restrictions on transitions for the system are described through equality constraints.