Optimality of “full bang to reduce predicted miss” for some partially observed stochastic control problems

  • V. E. Beneš
  • R. W. Rishel
Part of the The IMA Volumes in Mathematics and Its Applications book series (IMA, volume 10)


For final value stochastic control problems, the “predicted miss” of the title is the expected final position, conditional on the cumulative information to date, if no further control is exerted. For partially observed problems with bounded control, similar to some proposed by Åström, we use PDE methods to show that predicted miss defines the switching surfaces for an optimal “bang-bang” control law whose gist, simply stated, is to reduce predicted miss. The surfaces in question are explicitly calculated.


Final Position Admissible Control Polynomial Growth Switching Surface Stochastic Control Problem 
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Copyright information

© Springer-Verlag New York Inc. 1988

Authors and Affiliations

  • V. E. Beneš
    • 1
    • 2
  • R. W. Rishel
    • 3
  1. 1.AT&T Bell LaboratoriesMurray HillUSA
  2. 2.Columbia UniversityNew YorkUSA
  3. 3.University of KentuckyLexingtonUSA

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