Abstract
The objective of this paper is to show how recent work on nonlinear filtering can give qualitative insight into practical nonlinear filtering and suggest approximation schemes for optimal nonlinear filters.
This Research was supported by the Air Force Office of Scientific Research under Grant No. AF-AFOSR 82-0135.
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References
Bensoussan, A.: 1982, Unpublished Manuscript on Nonlinear Filtering.
Bobrovsky, B.Z., Zakai, M.: 1976, A Lower Bound on the Estimation Error for Certain Diffusion Processes, IEEE Trans, on Information Theory, Vol., IT-2, No. 1, pp. 45–51.
Clark, J.M.C.: 1978, The Design of Robust Approximations to the Stochastic Differential Equations of Nonlinear Filtering in Communication Systems and Random Process Theory, ed. J.K. Skwirzynski, Sijthoff and Noordhoff.
Fleming, W.: 1971, Stochastic Control for Small Noise Intensities, SIAM Journal on Control.
Fleming,W.H., Mitter, S.K.: 1982, Optimal Control and Nonlinear Filtering for Nondegenerate Diffusion Processes, to appear Stochastics.
Galdos, J.: 1975, Information and Distortion in Filtering Theory, Doctoral Dissertation, M.I.T.
Milnor, J.: 1963, Morse Theory, Princeton University Press, Princeton, NJ.
Mitter, S.K.: 1982, Lectures on Nonlinear Filtering and Stochastic Control, Proceedings of CIME School on Nonlinear Filtering, and Stochastic Control, July 1981, proceedings to be published by Springer-Verlag.
Ocone, D.: 1980, Topics in Nonlinear Filtering Theory, Doctoral Dissertation, M.I.T.
Pardoux, E.: 1981, Nonlinear Filter as a Likelihood Function, proceedings Decision and Control Conference, San Diego, CA.
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© 1983 D. Reidel Publishing Company
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Mitter, S.K. (1983). Approximations for Nonlinear Filtering. In: Bucy, R.S., Moura, J.M.F. (eds) Nonlinear Stochastic Problems. NATO ASI Series, vol 104. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-7142-4_25
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DOI: https://doi.org/10.1007/978-94-009-7142-4_25
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