[1] A. Albert:
Regression and the Moore-Penrose Pseudoinverse. Academic Press, New York 1972.
MR 0331659 |
Zbl 0253.62030
[2] D. L. Alspach, H. W. Sorenson:
Nonlinear Bayesian estimation using Gaussian sum approximations. IEEE Trans. Automat. Control AC-17 (1972), 4, 439-448.
Zbl 0264.93023
[3] B. D. O. Anderson, J. B. Moore:
Optimal Filtering. Prentice-Hall, Englewood Cliffs, NJ 1979.
Zbl 0688.93058
[4] G. P. Box, G. M. Jenkins:
Time Series Analysis. Holden-Day, San Francisco 1970.
Zbl 0249.62009
[5] R. S. Bucy, al: An Engineer's Guide to Building Nonlinear Filters. F. J. Seiler Research Lab., Project 7904-00-37, May 1972.
[6] G. Chavent:
On the uniqueness of local minima for general abstract nonlinear least squares problems. Inverse Problems 4 (1988), 417-433.
MR 0954901 |
Zbl 0658.65055
[7] G. C. Goodwin, K. S. Sin: Adaptive Filtering and Control. Prentice-Hall, Englewood Cliffs, NJ 1984.
[8] S. Hoang R. Baraille O. Talagrand L. Nguyen, P. DeMey:
Approximation approach for nonlinear filtering problem with time dependent noises. Part II: Stable nonlinear filters. Kybernetika 33 (1997), No. 5 (to appear).
MR 1603969
[9] S. Hoang P. DeMey O. Talagrand, R. Baraille:
A new reduced-order adaptive filter for state estimation in high dimensional systems. In: Proc. IFAC Internat. Symp. Adaptive Systems in Control and Signal Processings (Cs. Banyasz, ed.), Budapest 1995, pp. 153-158, to appear in Automatica 33 (1997), No. 8.
MR 1470055
[11] A. H. Jazwinski:
Stochastic Processes and Filtering Theory. Academic Press, New York 1970.
Zbl 0203.50101
[12] V. V. Kondrachev, A. A. Kocheshkov: Filtering and analysis of linear sample-data control systems with nonparametric specification of correlated noises. Avtomat. i Telemekh. (1985), No. 6, 67-76. (In Russian.)
[13] A. Kowalski, D. Szynal:
Filtering in discrete-time systems with state and observation noises correlated on a finite time interval. IEEE Trans. Automat. Control AC-31 (1986), 4, 381-384.
Zbl 0592.93062
[14] I. E. Kazakov, X. V. Malchikov: Approximate design of Pugachev's filters of specified complexity. Automat. Remote Control 42 (1981), 1309.
[16] C. J. Masreliez, D. Martin:
Robust Bayesian estimation for the linear model and robustifying the Kalman filter. IEEE Trans. Automat. Control AC-22 (1977), 3, 361-371.
MR 0453124 |
Zbl 0354.93054
[17] T. L. Nguyen, S. Hoang:
On optimal filtering with correlated noises and singular correlation matrices. Automat. Remote Control 43 (1982), 5 (2), 660-669.
MR 0687118
[18] T. L. Nguyen, S. Hoang: Optimal adaptive smoothing with correlated noises. Automat. Remote Control 43 (1982), 7 (1), 887-895.
[19] T. L. Nguyen, S. Hoang:
On one model of non-Markovian random process and its application to optimal estimation theory. Automat. Remote Control 43 (1982), 8 (1), 1021-1032.
MR 0688867
[20] T. L. Nguyen, S. Hoang: On solution of ill-posed optimal linear filtering with correlated noises. Automat. Remote Control 44 (1983), 4 (1), 453-466.
[21] B. T. Polyak, Ja. Z. Tsypkin:
Robust identification. Automatica 16 (1980), 1, 53-63.
MR 0571554
[22] V. S. Pugachev:
Estimation of variables and parameters in discrete-time nonlinear systems. Automat. Remote Control 40 (1979), 512-521.
MR 0545519 |
Zbl 0421.93068
[23] V. S. Pugachev:
Conditionally optimal estimation in stochastic differential systems. Automatica 18 (1982), 685-696.
MR 0693492 |
Zbl 0526.60054
[24] V. S. Pugachev:
Probability Theory and Mathematical Statistics for Engineers. Pergamon Press, New York 1984.
MR 0746794 |
Zbl 0533.60001
[25] V. S. Pugachev I. N. Sinitsyn, V. I. Shin:
A software method of normal approximation in analysis of nonlinear stochastic systems. Avtomat. i Telemekh. (1987), No. 2, 62-67. (In Russian.)
MR 0893520
[26] G. T. Schmidt:
Linear and nonlinear filtering techniques. In: Control and Dynamical Systems (C. T. Leondes, ed.), Academic Press, New York 1976.
MR 0398580 |
Zbl 0331.93060
[27] H. W. Sorenson:
Survey on filtering techniques and stochastic control in dynamical systems. In: Control and Dynamical Systems (C. T. Leondes, ed.), Academic Press, New York 1976.
MR 0398635
[28] J. Sternby:
On consistency for the method of least squares using martingale theory. IEEE Trans. Automat. Control AC-22 (1977), 3, 346-352.
MR 0456844 |
Zbl 0354.93062