Control of Systems With Incomplete Information and Finite Memory Controllers

: We study the control of conservative discrete time dynamical systems when there are incomplete information and finite memory controllers. We state results for the asymptotic stability in the case of finite dimension and in the case of infinite dimension, we give an example where it is impossible to get asymptotic stability. Key-words: Asymptotic stability, conservative systems, control without regret, incomplete information, finite memory controllers, discrete time systems. (R'esum'e : tsvp) CONICET -- Inst. Beppo Levi, Dpto. Matem'atica, Fac. Cs. Ex., Ing. y Agr., Universidad Nacional de Rosario, Rosario, Argentine. This paper is included in the activities developed in the frame of the Cooperation Projet INRIA--Instituto de Matem'atica Beppo Levi, Coordinators of the projet: E. Rofman--R. Gonz'alez Unit de recherche INRIA Rocquencourt Domaine de Voluceau, Rocquencourt, BP 105, 78153 LE CHESNAY Cedex (France) Tlphone : (33 1) 39 63 55 11 -- Tlcopie : (33 1) 39 63 53 30 Controle ..