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Original Articles

Filtrage non lineaire avec observation sur une variete

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Pages 121-148 | Published online: 04 Apr 2007

References

  • Bismut , J. M. and Michel , D. 1982 . Diffusions conditionnelles . J. Funct. Anal , 45 : 274 – 292 .
  • Courrege , P. and Priouret , P. 1965 . “ Recollement de processus de Markov ” . Vol. 14 , 275 – 376 . ISUP .
  • Dellacherie , C. and Meyer , P.A. 1975 . Probabilites et potentiels , Paris : Hermann .
  • Duncan , T. E. 1977 . Some filtering results in Riemann manifolds . Information and Control , 35 ( 3 ) : 182 – 195 .
  • Duncan , T. E. 1979 . Stochastic systems in Riemannian manifolds . Journal of Opt. Theory and Applic , 27 ( 3 ) : 399 – 426 .
  • Duncan , T. E. 1981 . “ Stochastic filtering in manifolds ” . In Proc. IF AC World Congress Pergamon
  • Engelbert , H. J. and Hess , J. 1980 . Integral representation with respect to stopped continuous local martingales . Stochastics , 4 : 121 – 142 .
  • Fujisaki , M. , Kallianpur , G. and Kunita , H. 1972 . Stochastic differential equations for the nonlinear filtering problem . Osaka J. Math , 9 : 19 – 40 .
  • Hazewinkel , M. 1981 . “ A tutorial introduction to differentiable manifolds and vector fields ” . In Stochastic Systems: The Mathematics of Filtering and Identification and Applications , Vol. 78 , D. Reidel .
  • Ikeda , N. and Watanabe , S. 1981 . Stochastic Differential Equations and Diffusion Processes , North-Holland .
  • Jacod , J. 1979 . “ Calcul stochastique ” . In Lect. Notes in Math , Vol. 714 , Springer-Verlag .
  • Kunita , H. 1971 . Asymptotic behavior of the non linear filtering errors of Markov processes . J. Mult. Anal , 1 ( 4 ) : 365 – 393 .
  • Kunita , H. “ Non linear filtering for the system with general noise. Stochastic Control theory and stochastic differential systems ” . In Lect. Notes in Control and Inf. Sc 496 – 509 .
  • Lo , J. T. and Willsky , A.S. 1975 . Estimation for rotational processes with one degree of freedom . IEEE Trans. Aut. Cont , 20 ( 1 ) : 10 – 33 .
  • Marcus , S. I. , Willsky , A.S. and Hsu , K. 1978 . The use of harmonic analysis in suboptimal estimation design . IEEE , 23 ( 5 ) : 911 – 926 .
  • Mazziotto , G. and Szpirglas , J. 1983 . Separation principle for impulse control with partial information . Stochastics , 10 ( 5 ) : 47 – 73 .
  • Mckean , H. P. 1969 . Stochastic Integrals , Academic Press .
  • Meyer , P. A. 1975 . Rennaissance, recollements, melanges, ralentissement d'un processus de Markov . Ann. Inst. Fourier 25 , 3 ( 4 ) : 465 – 497 .
  • Meyer , P. A. 1982 . Geometrie differentielle stochastique . Sem. Proba XVI, Lect. Notes in Math , 921 ( 4 ) : 165 – 207 .
  • Ng , S. K. and Caines , P. E. Non-linear filtering in Riemannian manifolds, preprint.
  • Schwartz , L. 1980 . Semi-martingales sur des varietes et martingales conformes sur des varietes analytiques complexes . Lect. Notes in Math , 780 ( 4 )
  • Shigekawa , I. 1982 . On stochastic horizontal lifts . Zeit. Wahrschein , 59 ( 4 ) : 211 – 221 .
  • Strieker , C. 1981 . Sur un theoreme de H. J. Engelbert et J. Hess . Stochastics , 6 ( 4 ) : 73 – 76 .
  • Szpirglas , J. 1978 . Sur Pequivalence d'equations differentielles stochastiques a valeurs mesures intervenant dans le filtrage markovien non lineaire . Ann.I.H.P , 35 ( 1 ) : 33 – 59 .
  • Szpirglas , J. and Mazziotto , G. 1979 . Modele general de filtrage non lineaire et equations differentielles stochastiques associees . Ann.I.H.P , 15 ( 2 ) : 147 – 173 .
  • Szpirglas , J. 1984 . “ Sur les proprietes markoviennes du processus de filtrage, Lecture Notes in Control and Inf ” . In Filtering and Control of Random Processes , Vol. 61 , Springer-Verlag .

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