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White noise models in non-linear filtering and control

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Stochastic Control Theory and Stochastic Differential Systems

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 16))

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References

  1. R.S. Lipster and A.N. Shiryayev: "Statistics of Random Processes," Springer-Verlag, New York, 1978.

    Google Scholar 

  2. L. Gross: Harmonic Analysis on Hilbert Space, Memoirs of the American Mathmatical Society, 1963.

    Google Scholar 

  3. V. Sazonov: A Remark on Characteristic Functions, Theory of Probability and Applications, 1958.

    Google Scholar 

  4. A.V. Balakrishnan: On Stochastic Bang-Bang Control, Int. Symp. on Stochastic Differential Systems, Vilnius, August, 1978, Proceedings (to be published by Springer-Verlag, 1979).

    Google Scholar 

  5. A.V. Balakrishnan: Stochastic Bilinear Partial Differential Equations, in "Variable Structure Systems," edited by R. Mohler and A. Ruberti, Springer-Verlag, 1975.

    Google Scholar 

  6. A.V. Balakrishnan: Radon-Nikodym Derivatives of a Class of Weak Distributions of Hilbert Spaces, Journal of Applied Mathematics and Optimization, vol. 3, 1977, 209–225.

    Google Scholar 

  7. I.M. Gelfand and N. Ya. Vilenkin: "Generalized Functions, Vol. IV", Academic Press, 1964.

    Google Scholar 

  8. A.V. Balakrishnan: Likelihood Ratios for Signals in Additive White Gaussian Noise, Journal of Applied Mathematics and Optimization, vol.3, 1977, 341–356.

    Google Scholar 

  9. K.W. Iliff: "Identification and Stochastic Control with Application to Flight Control in Turbulence," Dissertation UCLA, 1973 (UCLA-ENG-7340, 1973).

    Google Scholar 

  10. A.V. Balakrishnan: Non-Linear White Noise Theory, in "Multivariate Analysis V," edited by P.R. Krishnaiah, Academic Press, 1979.

    Google Scholar 

  11. I. Gikhman and A.V. Skhorokhod: "Stochastic Differential Equations," Springer-Verlag, 1970.

    Google Scholar 

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M. Kohlmann W. Vogel

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© 1979 Springer-Verlag

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Balakrishnan, A.V. (1979). White noise models in non-linear filtering and control. In: Kohlmann, M., Vogel, W. (eds) Stochastic Control Theory and Stochastic Differential Systems. Lecture Notes in Control and Information Sciences, vol 16. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0009373

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  • DOI: https://doi.org/10.1007/BFb0009373

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09480-7

  • Online ISBN: 978-3-540-35211-2

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