An Iterative Procedure for Constructing Subsolutions of Discrete-Time Optimal Control Problems

  • Authors:
  • Markus Fischer

  • Affiliations:
  • fischer@math.unipd.it

  • Venue:
  • SIAM Journal on Control and Optimization
  • Year:
  • 2011

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Abstract

An iterative procedure for constructing subsolutions of deterministic or stochastic optimal control problems in discrete time with continuous state space is introduced. The procedure generates a nondecreasing sequence of subsolutions, giving true lower bounds on the minimal costs. Convergence of the values at any fixed initial state is shown.