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International Journal of Control Volume 15, 1972 - Issue 2
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Original Articles

Bayesian approach to distributed-parameter filtering and smoothingFootnote†

S. G. TZAFESTAS Electronic Computers Department, Nuclear Research Center ‘Democritus’, Aghia Paraskevi Attikis, Athens, Greece
Pages 273-295 | Received 29 Mar 1971, Published online: 02 Apr 2007

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K. S. LEE & K. S. CHANG. (1991) State estimation of a non-linear stochastic distributed parameter system by discrete-time models. International Journal of Systems Science 22:10, pages 1807-1828.
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K. S. LEE & K. S. CHANG. (1988) Discrete-time modelling of distributed parameter systems for state estimator design. International Journal of Control 48:3, pages 929-948.
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J. KORBICZ, M. Z. ZGUROVSKY & A. N. NOVIKOV. (1988) Suboptimal sensors location in the state estimation problem for stochastic non-linear distributed parameter systems. International Journal of Systems Science 19:9, pages 1871-1882.
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JOZEF KORBICZ. (1986) Suboptimal state estimation algorithm for non-linear discrete-time distributed-parameter systems. International Journal of Systems Science 17:5, pages 725-734.
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SIGERU OMATU & JOHNH. SEINEELD. (1981) A unified approach to discrete-time distributed parameter estimation by the least-squares method. International Journal of Systems Science 12:6, pages 665-686.
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KEIGO WATANABE, TOSHIO YOSHIMURA & TAKASHI SOEDA. (1980) Optimal non-linear estimation for distributed-parameter systems via the partition theorem. International Journal of Systems Science 11:9, pages 1113-1130.
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TOSHIO YOSHIMURA, KOZO HIRATA & TAKASHI SOEDA. (1980) Filter implementation for a linear stochastic distributed-parameter system with a moving boundary. International Journal of Systems Science 11:6, pages 731-741.
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H. NAGAMINE, S. OMATU & T. SOEDA. (1979) The optimal filtering problem for a discrete-time distributed parameter system. International Journal of Systems Science 10:7, pages 735-749.
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K. S. Reddy & V. S. Rajamani. (1977) A Review of the State and Parameter Estimation Theory in Distributed Systems. IETE Journal of Research 23:12, pages 689-700.
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S. G. TZAFESTAS & J. M. NIGHTINGALE. (1976) Stochastic distributed filtering approach to gamma-ray imaging† . International Journal of Systems Science 7:11, pages 1249-1274.
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J. K. WONG & A. C. SOUDACK. (1975) Stochastic optitrial pointwise regulation control for linear discrete-time distributed parameter systems. International Journal of Control 22:5, pages 593-609.
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Articles from other publishers (28)

Maxwell M. Varley, Timothy L. Molloy & Girish N. Nair. (2022) Kalman Filtering for Discrete-Time Linear Systems with Infinite-Dimensional Observations. Kalman Filtering for Discrete-Time Linear Systems with Infinite-Dimensional Observations.
Evgeniy Butyrskiy. 2020. Methods for modeling and estimating random variables and processes. Methods for modeling and estimating random variables and processes.
Ryoichi Takahashi & Akio Arakawa. (1984) Real time application of simultaneous estimation theory for parameters and state to one-dimensional heat conduction. Nuclear Engineering and Design 81:3, pages 437-449.
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S.G. Tzafestas & P. Stavroulakis. (1983) Recent advances in the study of distributed parameter systems. Journal of the Franklin Institute 315:5-6, pages 285-305.
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DAVID F. LIANG. 1983. Nonlinear and Kalman Filtering Techniques, Part 1 of 3. Nonlinear and Kalman Filtering Techniques, Part 1 of 3 1 80 .
G. Jumarie. 1982. Distributed Parameter Control Systems. Distributed Parameter Control Systems 119 146 .
S. Omatu. 1982. Distributed Parameter Control Systems. Distributed Parameter Control Systems 87 117 .
S. Omatu & T. Soeda. (1981) An Application of the Discrete-Time Distributed Parameter Filtering to Environmental Data Processing. IFAC Proceedings Volumes 14:2, pages 195-200.
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Sigeru Omatu & John H. Seinfeld. (1981) Filtering and Smoothing for Linear Discrete-Time Distributed Parameter Systems Based on Wiener-Hopf Theory with Application to Estimation of Air Pollution. IEEE Transactions on Systems, Man, and Cybernetics 11:12, pages 785-801.
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Sigeru Omatu, Syunichiro Ohe & Takasi Soeda. (1980) Fixed-lag smoothing estimator for a linear distributed parameter system. Information and Control 44:1, pages 1-15.
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Masato Koda & John H. Seinfeld. (1978) Estimation of urban air pollution. Automatica 14:6, pages 583-595.
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. (1978) Discussion of Dr O'Hagan's Paper. Journal of the Royal Statistical Society: Series B (Methodological) 40:1, pages 24-42.
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. 1978. Infinite Dimensional Linear Systems Theory. Infinite Dimensional Linear Systems Theory 158 193 .
John H. Seinfeld & Masato Koda. 1978. Distributed Parameter Systems: Modelling and Identification. Distributed Parameter Systems: Modelling and Identification 42 69 .
S. Omatu, Y. Tomita & T. Soeda. (1977) Fixed-point smoothing in Hilbert spaces. Information and Control 34:4, pages 324-338.
Crossref
S. Omatu, T. Soeda & Y. Tomita. (1977) Linear fixed-point smoothing by using functional analysis. IEEE Transactions on Automatic Control 22:1, pages 9-18.
Crossref
W.H. Ray. 1977. Control Theory of Systems Governed by Partial Differential Equations. Control Theory of Systems Governed by Partial Differential Equations 231 263 .
Shigeru Omatsu, Yutaka Tomita & Takashi Soeda. (2007) Smoothing problems of distributed parameter systems with fixed point observations. Electrical Engineering in Japan 97:3, pages 110-117.
Crossref
S.G. Tzafestas. (1976) Nonlinear distributed-parameter filtering using The Forker-Planck equation approach. Journal of the Franklin Institute 301:5, pages 429-449.
Crossref
R. Sahgal & R.P. Webb. (1976) Smoothing algorithms for nonlinear distributed parameter systems. Automatica 12:3, pages 237-244.
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M.P. Polis & R.E. Goodson. (1976) Parameter identification in distributed systems: A synthesizing overview. Proceedings of the IEEE 64:1, pages 45-61.
Crossref
M.B Ajinkya, M Köhne, H.F Mäder & W.H Ray. (1975) The experimental implementation of a distributed parameter filter. Automatica 11:6, pages 571-577.
Crossref
W.H. Ray & J.H. Seinfeld. (1975) Filtering in distributed parameter systems with moving boundaries. Automatica 11:5, pages 509-515.
Crossref
Raymond E. Goodson & Michael p. Polis. (1975) A Survey of Parameter Identification in Distributed Systems. IFAC Proceedings Volumes 8:1, pages 50-61.
Crossref
W.H. Ray. (1975) Distributed Parameter State Estimation Algorithms and Applications - A Survey. IFAC Proceedings Volumes 8:1, pages 40-49.
Crossref
Ruth Curtain. (1975) A Survey of Infinite-Dimensional Filtering. SIAM Review 17:3, pages 395-411.
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T. Yu, J. Seinfeld & W. Ray. (1974) Filtering in nonlinear time delay systems. IEEE Transactions on Automatic Control 19:4, pages 324-333.
Crossref
R. Sahgal & R. Webb. (1972) Nønlinear distributed parameter estimatiøn. Nønlinear distributed parameter estimatiøn.

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