@article{SPS_1985__19__37_0, author = {Haussmann, Ulrich G.}, title = {L'\'equation de Zakai et le probl\`eme s\'epar\'e du contr\^ole optimal stochastique}, journal = {S\'eminaire de probabilit\'es de Strasbourg}, volume = {19}, year = {1985}, pages = {37-62}, mrnumber = {889467}, zbl = {0555.60027}, language = {fr}, url = {http://dml.mathdoc.fr/item/SPS_1985__19__37_0} }
Haussmann, Ulrich G. L'équation de Zakai et le problème séparé du contrôle optimal stochastique. Séminaire de probabilités de Strasbourg, Tome 19 (1985) pp. 37-62. http://gdmltest.u-ga.fr/item/SPS_1985__19__37_0/
[1] Existence, uniqueness and asymptotic behavior of solutions to a class of Zakai equations with unbounded coefficients, IEEE Trans. A.C., 28(1983), 203-214. | MR 711678 | Zbl 0535.93063
, et .[2] Non linear filtering of diffusion processes, Proc. IFAC Congr., Kyoto, Japan, 1981. | Zbl 0522.93059
, et .[3] On the relation of Zakai's equation and Mortensen's equation, SIAM J. Control and Optimization, 21 (1983), 472 - 489. | MR 696909 | Zbl 0518.93062
et .[4] Maximum principle and dynamic programming approaches of the optimal control of partially observed diffusions, Stochastics, 9 (1983), 169 - 222. | MR 705471 | Zbl 0516.60072
.[5] Applications des Inéquations Variationnelles en Contrôle Stochastique, Dunod, Paris, 1978. | MR 513618 | Zbl 0411.49002
et .[6] The robust equation of non linear filtering, preprint, Dept. of Mathematics, Louisiana State University. | MR 788001
.[7] Deterministic and Stochastic Optimal Control, Springer-Verlag, New York, 1975. | MR 454768 | Zbl 0323.49001
et .[8] Optimal control of partially observed diffusions via the separation principle, Stochastic Differential Systems,Lecture Notes in Control and Information Sciences, Vol. 43 (1982), 302-311 . | MR 814127 | Zbl 0523.93065
.[9] A finitely additive white noise approach to nonlinear filtering, Appl.Math. Optim, 10 (1983), 159 - 185. | MR 707547 | Zbl 0525.93063
et .[10] Equation du filtrage non linéaire de la prédiction et du lissage, Stochastics, 6 (1982), 193 - 231. | MR 665400 | Zbl 0491.93062
.[11] Stochastic partial differential equations and filtering of diffusion processes, Stochastics, 3 (1979), 127 - 167. | MR 553909 | Zbl 0424.60067
.[12] Solutions of certain parabolic equations with unbounded coefficients and its application to nonlinear filtering, Stochastics, 10 (1983), 31 - 46. | MR 714706 | Zbl 0533.60068
.[13] Multidimensional Diffusion Processes, Springer - Verlag, 1979. | MR 532498 | Zbl 0426.60069
et .