J. T. Basar, Informationally Nonunique Equilibrium Solutions in Differential Games, SIAM Journal on Control and Optimization, vol.15, issue.4, pp.636-660, 1977.
DOI : 10.1137/0315041

J. A. Bensoussan, Personnes, SIAM Journal on Control, vol.12, issue.3, pp.460-499, 1974.
DOI : 10.1137/0312037

3. J. Case, Towards a Theory of Many-Player Differential Games. SIM-l J Control, pp.179-197, 1969.

J. Levine-j and . Thepot, Open-Loop and Closed-Loop Equilibria in a Dynamic Duopoly

5. A. Mehlmann, On relations between Open-Loop and Closed-Loop Nash Solutions in Deterministic Differential Games, in Optimal Control Theory and Economic Analysis, pp.399-413, 1982.

6. H. Stalford-g and . Leitmann, Sufficiency Conditions for Nash Equilibria in N-Person Differential Games, Topics in Differential Games

R. Anderson and A. , FJiIED1·lAN : Mul ti-dirnensional quality control problems and quasi-variational inequalities, TAMS, vol.246, pp.31-76, 1978.

]. R. Anderson and A. Fried~ia, Quality control for Markov chains and free boundary problems, Transactions of the American Mathematical Society, vol.246, issue.2, pp.77-94, 1978.
DOI : 10.1090/S0002-9947-1978-0515530-4

J. S. Batlas, Non COlIL'IlU ta tiv e probab iIi ty models in quantum cornmuna ca tion and multi-agent stochastic control BASAtl : An equilibrium theory for mUlti-person decision mak Lng with multiple probabilistic mod aLav L, Symmetric mode of decision making, Riceroe di Automatica, vol.10, issue.2, 1979.

5. V. Benes, Existence of optimal stochastic control laws. SIMI <To Co n t, 1971.

C. Castaikg and M. , VALADIER : Convex analysis and measu':"lb)-&Jl'~':li.f!::ill£i0.p. §., Lecture Notes in ~Iaths nO 580, 1977.

~. H. and A. Davis, Nonlinear semigroups in the control of partially observed stochastic systems. In measure theory and applications to stochastic analysis, lecture Notes in Maths -Springer, 1979.

R. J. Elliott and M. Kohuwln, On the exa.s t.ence of optimal partially observed controls, Appl. Hath. Op t i.mi z, vol.9, issue.19<32, pp.41-660

1. W. Fu-!-'!-ihg and E. , PARDOUX : Existence of optimal controls for partially observed diffusions, SIAM J. Corrt, vol.20, pp.261-285, 1982.

. Tot, A. V. Gihman, and . Skororod, Stochastic niffer'ential e cus.t.Lons, 1972.

. 17j-yoc and K. C. Ho, CEU : 'l'eam decision theory and information structures in optimal control pr-ob Lems, 1972.

1. Y. Ho, M. P. Kastner, and E. Wong, Teams, market signalling, and information theoryHO : Teams decision theory and Lnf'o rma t i.on structures, pp.305-311, 1978.

O. N. Kraisov, S. , and A. , SO:Ii'BOTINE : Jeux d Lf'f'er-en't i.e l s , in Frenct, 1977.

J. Levine, Principe d'optima.lite et principe de separcdion en con t rd.I e stochastique Ii information incomplete non classio,ue eRAS. t , 292, I, pp.877-880, 1981.

2. R. 1iptser and A. N. Shiryayel, Statistics of random processes, I, Enc;lish t r-uno l c t i.on }, [24J R.E. MORTENSEN: Stochastic optimal cc n t ro L ldth noisy observations, 1977.

J. P. Qltadrat, Suo l 'ide!'ltlf i c a t i on e t Le co nt rd Le op t.Laa L d e s eystellll!$ s t o cbee t r q.rea , 'i'llCSi s

L. Sch\, ARTZ : 1't.cori e o ro d t.e t r-t eut t c ns , Hermann

D. ''', S. R. Stroo-ck, . Vhrad, and . Ilan, Multidim ens ::' ona l diffus i on pro c es s es, 1979.

]. P. Vafl, A. , J. R. ~j-ai, and . And, On d e lay ed c ha r-Lng pa t t erns . I EEE, AC, vol.23, pp.443-487

V. E. Benes, Exact finite-dimensional filters for certain diffusions with nonlinear drift, Stochastics, vol.3, issue.1-2, pp.65-92, 1981.
DOI : 10.1080/17442508108833174

3. J. Carlyle, On the external probability structure of finite-state channels, Information and Control, vol.7, issue.3, pp.385-397, 1964.
DOI : 10.1016/S0019-9958(64)90470-X

E. Cartan, Les systemes differentiels exterieurs et leurs applications g eome t r i.qu e s

5. M. Chaleyat-maurel and D. Michel, Un cheo reme de non-existence de filtre de dimension finie, CRAS, pp.296-933, 1983.

J. S. Chikte and J. T. Lo, Optimal filters for bilinear systems with nilpotent Lie algebras, IEEE Transactions on Automatic Control, vol.24, issue.6, pp.948-953, 1980.
DOI : 10.1109/TAC.1979.1102190

G. B. Di-masi and W. J. Runggaldier, On measure transformations for combined filtering and parameter estimation in discretetime, pp.57-62, 1982.

9. G. Di-masi and W. J. Runggaldier, Approximations and bounds for discrete-time nonlinear filtering, Lecture Notes in Control and Information Sciences, 1982.
DOI : 10.1007/BFb0044391

P. Loj, M. Faurre, F. Clerget, and . Germain, Operateurs rationnels positifs

M. Llj and . Fliess, Series rationnelles positives et processus stochastiques, Ann. Inst. H. Poincare B, XI-l, pp.1-21, 1975.

1. M. Fliess, KUPKA: A finiteness criterion for nonlinear inputoutput differential systems, SIAM J. Cant. Opt irni z, vol.1, issue.5, pp.721-728, 1983.

1. M. Fliess, R??alisation locale des syst??mes non lin??aires, alg??bres de Lie filtr??es transitives et s??ries g??n??ratrices non commutatives, Inventiones Mathematicae, vol.12, issue.3, pp.521-537, 1983.
DOI : 10.1007/BF02095991

M. Ltq, G. Fujisaki, H. Kallianpur, and . Kunita, Stochastic differential equations for the nonlinear filtering problem, Osaka Journal of Math, vol.9, pp.19-40, 1972.

1. C. Godbillon, Elements de topologie algebrique. Hermann. Paris, 1971.

1. M. Hazewinkel, On deformations, approximations and nonlinear filtering . Systems and Control Letters 1 N°1, pp.32-36, 1981.

1. M. Hazewinkel and S. , MARCUS: On lie algebras and finite dimensional fil tering, pp.29-62, 1982.

1. M. Hazewinkel, S. L. Marcus, and H. J. , Nonexistence of finite-dimensional filters for conditional statistics of the cubic sensor problem, Systems & Control Letters, vol.3, issue.6, pp.331-340, 1983.
DOI : 10.1016/0167-6911(83)90074-9

2. A. Heller, On Stochastic Processes Derived From Markov Chains, The Annals of Mathematical Statistics, vol.36, issue.4, pp.1286-1291, 1965.
DOI : 10.1214/aoms/1177700000

2. B. Jakubczyk, Invertible realizations of nonlinear discrete-time systems, Princeton Conf. on Information Sciences and Systems, 1980.

2. R. Kalman, P. L. Falb, and M. A. , ARBIB : Topics in mathematical systems theory, 1969.

2. P. Kaminski, A. E. Bryson-jr, and S. F. Schmidt, Discrete square root filtering: A survey of current techniques, IEEE Transactions on Automatic Control, vol.16, issue.6, pp.16-727, 1971.
DOI : 10.1109/TAC.1971.1099816

2. F. Legland, Application de l'equation du filtrage non-r l Lnea i r e a un p rob l eme d'estimation pa rame t r i.que , .Jou rne e s sur Le Filtrage non-rl

2. E. Lehmann, Testing statiscal hypothesis, 1959.

2. J. Levine, G~ :~~~~Eo~ ~~l~~:~~ed~~~;::;~~~~ef~~~~~~~~ ~H~bi;~cfor World Congress, 1984.

2. C. Lid and S. , MARCUS: The Lie algebra structure of a class of finite dimensional nonlinear filters, 1980.

3. S. Marcus and A. S. Willsky, Algebraic structure and finite dimensional nonlinear estimation. SI&'1, J. Math. Anal, vol.9, pp.312-327, 1978.

3. S. Marcus, C. H. Liu, and G. , BLANKENSHIP: Lie algebras and asymptotic expansions for some nonlinear filtering problems to appear

3. D. Normand-cyrot, Ih eo r i,e et pratique des systemes non-r Li.nea i r e s en temps disc ret, 1983.

E. Pardoux, Analyse asymptotique du p rob Leme du filtrage non-Li.nea i.r e avec bruit, Proc. 5th Int. Conf. on Analysis and Optimization of Systems, 1982.

3. H. Sussmann, Approximate finite-dimensional filters for some nonlinear problems, Stochastics, vol.6, issue.3, pp.183-203, 1982.
DOI : 10.1080/17442508208833218

. [. Sussmann, Existence and uniqueness of minimal realizations of nonlinear systems, Mathematical Systems Theory, vol.80, issue.1, pp.10-263, 1977.
DOI : 10.1007/BF01683278

4. M. Zakai, On the optimal filtering of diffusion processes, Zeitschrift f???r Wahrscheinlichkeitstheorie und Verwandte Gebiete, vol.2, issue.3, pp.230-243, 1969.
DOI : 10.1007/BF00536382

A. Ismoili, A. Krener, C. E. Ori-giorgi, S. , and /. Aco, Nonlinear decouplingvia feedback, IEEE Tram. AC, vol.26, issue.021, pp.331-345

D. and 3. Jak, On r eec nab i H ty of dynamic ay s t erns, InL J. se, vol.8, pp.3321-3359, 1977.

D. Claude and P. , DUFRE:3NE.AnapplicationofMacsymatononlinearsyotemsdecoupling Lecture Notes inComputerSc:l.ence:J, pp.294-301, 1982.

A. I3idorr, A. Krener, C. Gori-giorgi, and . Monaco, Nonl Lnear-decoupling via feedback, IEEE1'rans. AC, vol.26, pp.2331-345, 1981.

A. Isidori, Thegeornetricapproachtononlinearfeedbackcontrol :asurveg

S. Nigosia, F. Nicolo, and D. Lentint, Dynamicalcontrolofindustrialrobots with elasticanddisSir;ativeJOints.S t hlFl

F. Gejtomel and P. Willis, Alga ri t rune de eraph e pou r d~~ co u p19.1.;e de lineaires.OptianAutomatvlue.EcolePolytech

A. Kasinsky and J. Levine, A fast graph theoretic a l.go r i.t hm Tor the feedback decoupling problem of non.Li.near-evat ema, 1983.

J. G. Levine, PIG:-iIE.Rapport DRET. Bibliographie commentee sur lejiltrage non lineaire, p.983

V. Arnold, Equations Differentielles Ordinal res t Traduction francaise), 1974.

E. Irving, Identification des systemes, EDF. Etudeset Recherches. CI-2, 1969.

A. Jazwinski, Stochastic Processes and Filtering Theory, 1970.

C. Lobry, Controlabtlite des systemes non lineaires, CNRS, 1981.

J. M. Bismut, Martingales, the Malliavin calculus and hypoellipticity under general H???rmander's conditions, Zeitschrift f???r Wahrscheinlichkeitstheorie und Verwandte Gebiete, vol.87, issue.4, pp.469-505, 1981.
DOI : 10.1007/BF00531428

J. B. Brockett and . Washburn, Chaotic motion in non linear feedback systems, 27. n" II. novembre, pp.990-997, 1980.

B. Bonnard, Controle de l'attitude d'un satellite ngide, Belle-lie, 1982.

S. A. Singh and S. , Output feedback non linear decoupled control synthesis and observer design for maneuvering aircraft, IntJ. Control, pp.31-781, 1980.

G. M. Suol and . Hunt, Applications 10 aeronautics of the theory oj transformauons ofnon lineur systems, Belle-He, vol.982

G. C. Nicolo and . Ntcosrx, Dynamtcal models of industrial robots, lst lASTED Int. Symposium on applied modelling and simulation, 1981.

R. M. Hsu and . Karanam, Modelling and control of (1-B cell immune processes

M. E. Landau, Reduced order bilinear models for distillation columns, Automatica, 1978.

G. J. Barnard and . Gauthier, Modelisation dynamique des colonnes de distillation, CNRS, 1981.

D. Normand-cyrot, Identification par systemes aetat aJfine et applications aux centrales electriques, CRNS, 1981.

J. Wood, Power conversion in electrical networks, PHD DIssertation. Harvard Umversity, 1974.

J. B. Byrnes, A geometric problem in electric energy systems, Hollywood CA. Western Periodicals Co, 1981.

C. Tavora, Stability analysis oj power systems, IEEE Trans. on Power Apparatus and Systems, pp.1093-1100, 1972.

G. P. Kokotovic and . Chow, Singular perturbations and time scales In non linear models of power systems, EEE Trans. Circuits and Systems. Vol CAS, vol.29, 1983.

M. F. Normand-cyrot, La proprtete d'approximatton des systemes reguliers, CNRS, 1981.

H. Sussmann, Semigroup Representations, Bilinear Approximation of Input-Output Maps, and Generalized Inputs, Lecture Notes In Econ. Math, Syst, vol.131, p.172, 0191.
DOI : 10.1007/978-3-642-48895-5_12

M. Fliess, Developpements foncuonnels et calcul symbolique non commutatif, CNRS, 1981.

G. Jacob, Realisation des systemes reguliers et series formelles non commutatives, CNRS, 1981.

D. Normand-cyrot, Une condition de realisation par systemes a etat affine discrets, 1982.

S. Monaco and D. Normand-cyrot, Sur la subordination d'un systeme non lineaire discret a un systeme lineaire, Belle-lie, 1982.

R. Brockett, On the algebraic structure of bilinear systems Theory and Applications oj Variable Structure Systems, pp.153-168, 1972.

P. D. Alessandro, A. Isidori, and A. Ruberti, Realization and Structure Theory of Bilinear Dynamical Systems, SIAM Journal on Control, vol.12, issue.3, pp.517-535, 1974.
DOI : 10.1137/0312040

M. Fliess, Sur la realisation des systemes dynamiques bilineaires, CRAS. Serie A, vol.277, pp.923-926, 1973.

H. Sussmann, Minimal realizations and canonical forms for bilinear systems, Journal of the Franklin Institute, vol.301, issue.6, pp.593-604, 1976.
DOI : 10.1016/0016-0032(76)90080-6

H. Sussmann, A generalization of the closed subgroup theorem to quotient oj arbitrary manifolds, J. DitT. Georn, vol.10, pp.151-166, 1975.

H. Sussmann, Existence and uniqueness of minimal realizations of nonlinear systems, Mathematical Systems Theory, vol.80, issue.1, pp.263-284, 1977.
DOI : 10.1007/BF01683278

R. H. Krener, Non linear controllability and observability, IEEE AC-22, pp.728-740, 1977.

B. Jakubczyk, Existence and Uniqueness of Realizations of Nonlinear Systems, SIAM Journal on Control and Optimization, vol.18, issue.4, pp.455-471, 1980.
DOI : 10.1137/0318034

M. Fliess, Realisation locale des systemes non lineaires. algebres de Lie filtrees trunslllvesetsenesgeneratncesnoncommutattves,lnventlOnesMath

M. Fliess, Un outil algebrique les series formeiles non commutatives, p.975

E. Y. Sontag and . Rouchaleau, On discrete-time polynomial systems, Nonlinear Analysis: Theory, Methods & Applications, vol.1, issue.1, pp.55-59, 1976.
DOI : 10.1016/0362-546X(76)90008-0

B. Jakubczyk, Invertible realizations of non linear discrete time systems, Proceedings of the 1980 Princeton Conference on Information Sciences and Systems

R. Brockett, Non linear systems and differential geometry

H. Sussmann and V. Jurdjevic, Controllability of nonlinear systems, Journal of Differential Equations, vol.12, issue.1, pp.95-116, 1972.
DOI : 10.1016/0022-0396(72)90007-1

A. Isidori, Observabilite et observateurs des systemes non lineaires, CNRS, 1981.

A. I. Krener, C. Gori-giorgi, and S. Monaco, Non linear decoupling via feedback.' a differential geometric approach, IEEE AC-26, pp.331-345, 1981.

W. Wonham, Linear multivariable control, 1977.

D. Claude, Decouplage des systemes du lmeatre au non ltneaire , Belie-lie, 1982.

I. A. Kasinsky and J. Levine, A fast graph-theoretic algorithm jor the feedback decoupling problem oj non linear systems, 1983.

J. , P. Gauthier, G. Bornard, S. Bacha, M. et al., Rejet de perturbations pour un modele non linea ire de colonne a distiller, Belle-lie, 1982, [53J R, BROCKETT, Feedback invariants for non linear s"srem5, 1978.

B. Jakubczyk, W. , and R. , On linearization oj control systems, Bull. Acad, vol.28, pp.517-522, 1980.

L. Hunt and R. Su, Multi-input non linear systems ra paraitre)

I. [. and A. Krener, On feedback equivalence of non linear systems, Syst. Control Leuers.Z, pp.118-121, 1982.

P. , C. J. Krainak, F. Machell, S. , M. et al., Polynomtc system theory: a reviewThe dynamic linear exponential gaussian team problem, Proc., 127, pp.220-228, 1980.

E. Dockner, G. , F. , and S. Jorgensen, Tractable classes of nonzero·sum open-loop Nash differential games (a paraitre)

H. Witsenhausen, A Counterexample in Stochastic Optimum Control, SIAM Journal on Control, vol.6, issue.1, pp.131-147, 1968.
DOI : 10.1137/0306011

J. Levine, Principe d'optimalite et principe de separation en controle stochastique ainformation incomplete non classique, CRAS Serie I, vol.292, pp.877-880, 1981.

J. Levine, Incomplete information in differential gomes and team problems, 8th IFAC World congress, 1981.

K. Astrom, Theory and applications of adaptive control, 8th IFAC. World congress . Kyoto, 1981.

J. Cruz, Feedback systems, McGraw-Hill, 1972.