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V. References
Dellacherie C. and Meyer P. A.: "Probabilités et potentiel". Hermann, Paris, 1975
Fujisaki M., Kallianpur G. and Kunita H.: "Stochastic differential equations for non-linear filt. prob.". Osaka J. Math., vol. 9, pp.19–40, 1972.
Ikeda N. and Watanabe S.: "Stochastic differential equations and diffusion processes". North-Holland/Kodansha, 1981.
Korezlioglu H. and Mazziotto G.: "Estimation recursive en transmission numérique". 9ème Col. trait. du Sig. et appl., Nice, 16–20/05/1983.
Kunita G.: "Asymptotic behaviour of the non-linear filtering errors of Markov processes". J. of Mult. Anal., vol. 1 n° 4, pp. 365–393, 1971.
Lepeltier J.-P. and Marchal B.: "Théorie générale du contrôle impulsionnel markovien". SIAM J. of Cont. vol. 22, 1984, pp.645–655.
Mazziotto G. and Szpirglas J.: "Separation principle for impulse control with partial information". Stochastics, vol. 10, pp. 47–73, 1983.
Meyer P. A.: "Renaissance, recollements, mélanges, rallentissements d'un processus de Markov". Ann. Inst. Fourier, vol. 25 n° 3, pp.465–497, 1975.
Neveu J.: "Bases du calcul des probabilités". Masson, 1970.
Robin M.: "Contrôle impulsionnel des processus de Markov".Thèse état 1978.
Segall A.: "Centralized and decentralized control schemes for Gauss-Poisson processes". IEEE trans. on Aut. Cont., vol. AC-23 n° 1, pp. 47–57, 1978.
Snyder D. L. and Fishman P. M.: "How to track a swarm of fireflies by observing their flashes" IEEE Trans. on Inf. Th., vol. IT-21, pp. 692–695, 1975.
Veretennikov A. Ju.: "On strong solutions and explicit formulas for solutions of stoch. int. equ.".Math. USSR Sbornik,Vol. 39 n°3,pp.387–403,1981.
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Cohen, R. (1988). A filtering formula for a non-linear system having a continuous observation, and a discrete observation at random times. In: Korezlioglu, H., Ustunel, A.S. (eds) Stochastic Analysis and Related Topics. Lecture Notes in Mathematics, vol 1316. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0081940
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DOI: https://doi.org/10.1007/BFb0081940
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