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Volumn 28, Issue 9, 1983, Pages 897-906

Recursive Input-Output and State-Space Solutions for Continuous-Time Linear Estimation Problems

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEMS - ESTIMATION;

EID: 0020809675     PISSN: 00189286     EISSN: 15582523     Source Type: Journal    
DOI: 10.1109/TAC.1983.1103352     Document Type: Article
Times cited : (7)

References (30)
  • 2
    • 0018008220 scopus 로고
    • On a generalized Szego-Levinson realization algorithm for optimal linear prediction based on a network synthesis approach
    • Sept.
    • P. Dewilde, A. Vieira, and T. Kailath, “On a generalized Szego-Levinson realization algorithm for optimal linear prediction based on a network synthesis approach,” IEEE Trans. Circuits Syst., vol. CAS-25, pp. 663–675, Sept. 1978.
    • (1978) IEEE Trans. Circuits Syst. , vol.25 CAS , pp. 663-675
    • Dewilde, P.1    Vieira, A.2    Kailath, T.3
  • 4
    • 0015680499 scopus 로고
    • Some new algorithms for recursive estimation in constant linear systems
    • Nov.
    • T. Kailath, “Some new algorithms for recursive estimation in constant linear systems,” IEEE Tram. Inform. Theory, vol. IT-19, pp. 750–760, Nov. 1973.
    • (1973) IEEE Tram. Inform. Theory , vol.19 IT , pp. 750-760
    • Kailath, T.1
  • 5
    • 84912780059 scopus 로고
    • A scattering theory framework for fast least-squares algorithms
    • P.R. Krishnaiah, Ed. Amsterdam, The Netherlands: North-Holland
    • T. Kailath and L. Ljung, “A scattering theory framework for fast least-squares algorithms,” in Multivariate Analysis - IV, P.R. Krishnaiah, Ed. Amsterdam, The Netherlands: North-Holland, 1977, pp. 387–406.
    • (1977) Multivariate Analysis , vol.IV , pp. 387-406
    • Kailath, T.1    Ljung, L.2
  • 7
    • 0011332306 scopus 로고
    • Spectral analysis of non-self adjoint operators and intermediate systems
    • also Transl. Amer. Math. Soc, vol. 2, no. 13, pp. 265-346, 1960
    • M.S. Brodskii and M.S. Livsic, “Spectral analysis of non-self adjoint operators and intermediate systems,” Uspekhi Mat. Nauk, vol. 13, no. 1, pp. 3-85, 1958; also Transl. Amer. Math. Soc, vol. 2, no. 13, pp. 265–346, 1960.
    • (1958) Uspekhi Mat. Nauk , vol.13 , Issue.1 , pp. 3-85
    • Brodskii, M.S.1    Livsic, M.S.2
  • 9
    • 0003423944 scopus 로고
    • Analyse harmonique des operateurs de l'espace de Hilbert
    • Paris, France: Masson
    • B. Sz.-Nagy and C. Foias, “Analyse harmonique des operateurs de l'espace de Hilbert,” Akad. Kiado, Paris, France: Masson, 1967.
    • (1967) Akad. Kiado
    • -Nagy, B.Sz.1    Foias, C.2
  • 14
    • 0001397011 scopus 로고
    • The continuous analogs of theorems on polynomials orthogonal on the unit circle
    • M.G. Krein, “The continuous analogs of theorems on polynomials orthogonal on the unit circle,” Dokl. Akad. Nauk, USSR, vol. 104, pp. 637–640, 1955.
    • (1955) Dokl. Akad. Nauk, USSR , vol.104 , pp. 637-640
    • Krein, M.G.1
  • 15
    • 0016125698 scopus 로고
    • Development of new estimation algorithms by innovations analysis and shift-invariance properties
    • G.S. Sidhu and T. Kailath, “Development of new estimation algorithms by innovations analysis and shift-invariance properties,” IEEE Trans. Inform. Theory, vol. IT-20, no. 6, pp. 759–762, 1974.
    • (1974) IEEE Trans. Inform. Theory , vol.20 IT , Issue.6 , pp. 759-762
    • Sidhu, G.S.1    Kailath, T.2
  • 16
    • 33746994270 scopus 로고
    • On Fredholm integral equations, Toeplitz equations and Kalman-Bucy filtering
    • A. Lindquist, “On Fredholm integral equations, Toeplitz equations and Kalman-Bucy filtering,” Appl. Math. Optimiz., vol. 1, pp. 355–373, 1975.
    • (1975) Appl. Math. Optimiz. , vol.1 , pp. 355-373
    • Lindquist, A.1
  • 17
    • 84910527630 scopus 로고
    • Generalized Krein-Levinson equations for efficient calculation of fredholm resolvents of nondis- placement kernels
    • Essays Dedicated to M.G. Krein, I. Gohberg and M. Kac, Eds. New-York: Academic
    • T. Kailath, L. Ljung, and M. Morf, “Generalized Krein-Levinson equations for efficient calculation of fredholm resolvents of nondis- placement kernels,” in Surveys in Mathematical Analysis, Essays Dedicated to M.G. Krein, I. Gohberg and M. Kac, Eds. New-York: Academic, 1978.
    • (1978) Surveys in Mathematical Analysis
    • Kailath, T.1    Ljung, L.2    Morf, M.3
  • 18
    • 85024423711 scopus 로고
    • New results in linear filtering and prediction theory
    • R.E. Kalman and R.S. Bucy, “New results in linear filtering and prediction theory,” J. Basic Eng., vol. 83, no. 3, pp. 95–108, 1961.
    • (1961) J. Basic Eng. , vol.83 , Issue.3 , pp. 95-108
    • Kalman, R.E.1    Bucy, R.S.2
  • 20
    • 84941520502 scopus 로고    scopus 로고
    • Lattice filter parametrization and modeling of nonstationary processes
    • to be published.
    • H. Lev-Ari and T. Kailath, “Lattice filter parametrization and modeling of nonstationary processes,” IEEE Trans. Inform Theory, to be published.
    • IEEE Trans. Inform Theory
    • Lev-Ari, H.1    Kailath, T.2
  • 21
    • 0018005108 scopus 로고
    • Extended Levinson and Chandrasekhar equations for general discrete-time linear estimation problems
    • B. Friedlander, T. Kailath, M. Morf, and L. Ljung, “Extended Levinson and Chandrasekhar equations for general discrete-time linear estimation problems,” IEEE Trans. Automat. Contr., vol. AC-23, pp. 653–659, 1978.
    • (1978) IEEE Trans. Automat. Contr. , vol.23 AC , pp. 653-659
    • Friedlander, B.1    Kailath, T.2    Morf, M.3    Ljung, L.4
  • 23
    • 0019146429 scopus 로고
    • Doubling algorithms for Toeplitz and related equations
    • Apr.
    • M. Morf, “Doubling algorithms for Toeplitz and related equations,” in Proc. 1980 ICASSP, Denver, CO, Apr. 1980, pp. 954–959.
    • (1980) Proc. 1980 ICASSP, Denver, CO , pp. 954-959
    • Morf, M.1
  • 24
    • 0000081585 scopus 로고
    • Asymptotic fast solution of Toeplitz and related systems of linear equations
    • Dec.
    • R.R. Bitmead and B.D.O. Anderson, “Asymptotic fast solution of Toeplitz and related systems of linear equations,” Linear Algebra Appl., vol. 34, pp. 103–116, Dec. 1980.
    • (1980) Linear Algebra Appl. , vol.34 , pp. 103-116
    • Bitmead, R.R.1    Anderson, B.D.O.2
  • 26
    • 0002079557 scopus 로고
    • On matrix integral operators
    • I.C. Gohberg and G. Heinig, “On matrix integral operators,” Rev. Roum. Math., vol. 20, pp. 55–73, 1975.
    • (1975) Rev. Roum. Math. , vol.20 , pp. 55-73
    • Gohberg, I.C.1    Heinig, G.2
  • 27
    • 0016125645 scopus 로고
    • Optimal filtering of continuous-time stationary processes by means of the backward innovation processes
    • A. Lindquist, “Optimal filtering of continuous-time stationary processes by means of the backward innovation processes,” SIAM J. Contr., vol. 12, pp. 747–754, 1974.
    • (1974) SIAM J. Contr. , vol.12 , pp. 747-754
    • Lindquist, A.1
  • 28
    • 84915363871 scopus 로고
    • Linear least squares estimation of discrete-time stationary processes by means of backward innovations
    • (Lecture Notes in Economics and Mathematical Systems vol. 107), A. Benscussan and J.L. Lions, Eds. New York: Springer-Verlag
    • A. Lindquist, “Linear least squares estimation of discrete-time stationary processes by means of backward innovations,” in Control Theory, Numerical Methods and Computer Systems Modeling (Lecture Notes in Economics and Mathematical Systems, vol. 107), A. Benscussan and J.L. Lions, Eds. New York: Springer-Verlag, p. 61, 1975.
    • (1975) Control Theory, Numerical Methods and Computer Systems Modeling , pp. 61
    • Lindquist, A.1
  • 29
    • 84941526216 scopus 로고
    • The role of the stationary equation of least-squares linear filtering in spectral estimation and wave propagation
    • Quarterly Prog. Rep. 114, July
    • L.C. Pusey, “The role of the stationary equation of least-squares linear filtering in spectral estimation and wave propagation,” M.I.T. Res. Lab. of Electronics, Quarterly Prog. Rep. 114, July 1974, pp. 137–141.
    • (1974) M.I.T. Res. Lab. of Electronics , pp. 137-141
    • Pusey, L.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.