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# A Separation Theorem for Expected Value and Feared Value Discrete Time Control

Abstract : We show how the use of a parallel between the ordinary $(+, \times)$ and the $(\max, +)$ algebras, Maslov measures that exploit this parallel, and more specifically their specialization to probabilities and the corresponding {\em cost measures} of Quadrat, offer a completely parallel treatment of stochastic and minimax control of disturbed nonlinear discrete time systems with partial information. This paper is based upon, and improves, the discrete time part of the earlier paper \cite{ber95}.
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https://hal.inria.fr/inria-00073927
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Submitted on : Wednesday, May 24, 2006 - 2:06:22 PM
Last modification on : Friday, February 4, 2022 - 3:16:23 AM
Long-term archiving on: : Thursday, March 24, 2011 - 1:23:38 PM

### Identifiers

• HAL Id : inria-00073927, version 1

### Citation

Pierre Bernhard. A Separation Theorem for Expected Value and Feared Value Discrete Time Control. RR-2764, INRIA. 1995. ⟨inria-00073927⟩

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