Stochastic subspace identification via "LQ decomposition"

Proceedings of the IEEE Conference on Decision and Control

Volumn 4, Issue , 2003, Pages 3467-3472

  Tanaka, Hideyuki ^a   Katayama, Tohru ^a  

^a KYOTO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; COMPUTER SIMULATION; MARKOV PROCESSES; MATHEMATICAL MODELS; MATRIX ALGEBRA; PROBLEM SOLVING; RICCATI EQUATIONS; WHITE NOISE;

FINITE-INTERVAL REALIZATION; STOCAHSTIC SUBSPACE IDENTIFICATION;

STOCHASTIC CONTROL SYSTEMS;

EID: 1542379157     PISSN: 01912216     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (11)

1. H. Akaike, "Markovian representation of stochastic processes by canonical variables," SIAM J. Control, vol. 13, no. 1, pp. 162-173, 1975.
2. M. Aoki, State Space Modeling of Time Series, Springer, Berlin, 1987.
3. U. B. Desai, D. Pal and R. D. Kirkpatrick, "A realization approach to stochastic model reduction," International J. Control, vol. 42, no. 4, pp. 821-838, 1985.
4. P. L. Faurre, "Stochastic realization algorithms," In System Identification: Advances and Case Studies (R. K. Mehra and D. G. Lainiotis, eds.), Academic Press, pp. 1-25, 1976.
5. G. H. Golub and C. F. Van Loan, Matrix computations (3rd ed.), Johns Hopkins University Press, 1996.
6. A. Lindquist and G. Picci, "Geometric methods for state space identification," In Identification, Adaptation, Learning: The Science of Learning Models from Data (S. Bittanti and G. Picci, eds.), Springer, pp. 1-69, 1996.
7. A. Lindquist and G. Picci, "Canonical correlation analysis, approximate covariance extension, and identification of stationary time series," Automatica, vol. 32, no. 5, pp. 709-733, 1996.
8. H. Tanaka and T. Katayama, "A stochastic realization in a Hilbert space based on "LQ decomposition" with application to subspace identification," SYSID2003, Rotterdam (to appear).
9. H. Tanaka and T. Katayama, "Stochastic realization on a finite interval via "LQ Decomposition" in Hubert space," ECC2003, Cambridge (to appear).
10. P. Van Overschee and B. De Moor, "Subspace algorithms for the stochastic identification problem," Automatica, vol. 29, no. 3, pp. 649-660, 1993.
11. P. Van Overschee and B. De Moor. Subspace Identification for Linear Systems, Kluwer Academic Pub., 1996.