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Title: Polynomial matrix solution to the discrete fixed-LAG smoothing problem (English)
Author: Grimble, Mike J.
Language: English
Journal: Kybernetika
ISSN: 0023-5954
Volume: 27
Issue: 3
Year: 1991
Pages: 190-201
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Category: math
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MSC: 93C05
MSC: 93E11
MSC: 94A12
idZBL: Zbl 0755.93025
idMR: MR1116833
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Date available: 2009-09-24T18:24:51Z
Last updated: 2012-06-05
Stable URL: http://hdl.handle.net/10338.dmlcz/125811
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Reference: [1] G. C. Goodwin, K. S. Sin: Adaptive Filtering, Prediction and Control.Prentice-Hall, New Jersey 1984. Zbl 0653.93001
Reference: [2] T. J. Moir: Optimal deconvolution smoother.IEE Proc. Pt. D 133 (1986), 1, 13-18. Zbl 0588.93067
Reference: [3] V. Kučera: Discrete Linear Control.J. Wiley, Chichester 1979. MR 0573447
Reference: [4] T. J. Moir, M. J. Grimble: Optimal self-tuning filtering prediction and smoothing for discrete multivariable processes.IEEE Trans. Automat. Control AC-29 (1984), 2, 128-137. Zbl 0537.93063
Reference: [5] U. Shaked: Transfer function approach to the fixed-point continuous smoothing problem.IEEE Trans. Automat. Control AC-23 (1978), 5, 945-948. Zbl 0396.93050
Reference: [6] M. J. Grimble: A new finite-time linear smoothing filter.Internat. J. Systems Sci. 11 (1980), 10, 1189-1212. Zbl 0456.93058
Reference: [7] T. J. Moir, M. J. Grimble: Finite interval smoothing for discrete-time systems.Systems Sci. 8 (1982), 1, 53-74. Zbl 0547.93073, MR 0730756
Reference: [8] M. J. Grimble: $H_{\infite}$ design of optimal linear filters.In: Linear Circuits, Systems and Signal Processing: Theory and Application, MTNS Conf. Publication (C. I. Byrnes, C. F. Martin and R. E. Saeks, eds.), North-Holland, Amsterdam 1988, pp. 533-540. MR 1031072
Reference: [9] U. Shaked: A transfer function approach to the linear discrete stationary filtering and the steady-state discrete optimal control problems.Internat. J. Control 29 (1979), 2, 279-291. Zbl 0401.93045, MR 0527853
Reference: [10] V. Panuška: A new form of the extended Kalman filter for parameter estimation in linear systems with correlated noise.IEEE Trans. Automat. Control AC-25 (1980), 2, 229-235. MR 0567379
Reference: [11] P. T. K. Fung, M. J. Grimble: Dynamics ship positioning using a self-tuning Kalman filter.IEEE Trans. Automat. Control AC-28 (1983), 3, 339-350.
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