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inria-00073927, version 1

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

Pierre Bernhard () 1

N° RR-2764 (1995)

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}.

• 1:  MIAOU (INRIA Sophia Antipolis)
• INRIA
• Domain : Computer Science/Other
• Keywords : DYNAMICAL SYSTEM / MINIMAX CONTROL / MAX-PLUS ALGEBRA / DYNAMICAL GAMES
• Internal note : RR-2764

• inria-00073927, version 1
• oai:hal.inria.fr:inria-00073927
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• Submitted on: Wednesday, 24 May 2006 14:06:22
• Updated on: Wednesday, 31 May 2006 14:24:28