Stable laguerre-svd reduced-order modeling

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications

Volumn 50, Issue 4, 2003, Pages 576-579

  Knockaert, Luc ^a   De Zutter, Daniel ^a  

^a IMEC   (Belgium)

Author keywords

Laguerre basis; Reduced order modeling; Stability

Indexed keywords

ALGORITHMS; MATRIX ALGEBRA; THEOREM PROVING; TRANSFER FUNCTIONS; VECTORS;

SINGULAR VALUE DEPOSITION;

CONFORMAL MAPPING;

EID: 0037598598     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCSI.2003.809807     Document Type: Article

References (10)

1. B. C. Moore, "Principal component analysis in linear systems: Controllability, observability, and model reduction," IEEE Trans. Automat. Contr., vol. AC-26, pp. 17-31, Feb. 1981.
2. M. G. Safonov and R. Y. Chiang, "A Schur method for balanced-truncation model reduction," IEEE Trans. Automat. Contr., vol. 34, pp. 729-733, July 1989.
3. C. De Villemagne and R. E. Skelton, "Model reduction using a projection formulation," Int. J. Control, vol. 46, no. 6, pp. 2141-2169, 1987.
4. W. B. Gragg and A. Lindquist, "On the partial realization problem," Lin. Alg. Applicat., vol. 50, pp. 277-319, 1983.
5. R. W. Freund, "Reduced-order modeling techniques based on Krylov subspaces and their use in circuit simulation," Bell Laboratories, Murray Hill, NJ, Numerical Analysis Manuscript 98-3-02, Feb. 1998.
6. D. L. Boley, "Krylov space methods on state-space control models," Circuits Syst. Signal Processing, vol. 13, no. 6, pp. 733-758, 1994.
7. L. Knockaert and D. De Zutter, "Passive reduced order multiport modeling: The Padé-Laguerre, Krylov-Arnoldi-SVD connection," Int. J. Electron. Commun. (AEÜ), vol. 53, no. 5, pp. 254-260, 1999.
8. L. Knockaert and D. De Zutter, "Laguerre-SVD reduced-order modeling," IEEE Trans. Microwave Theory Tech., vol. 48, pp. 1469-1475, Sept. 2000.
9. L. Knockaert, "On orthonormal Müntz-Laguerre filters," IEEE Trans. Signal Processing, vol. 49, pp. 790-793, Apr. 2001.
10. D. M. Greig, Optimization. London, U.K.: Longman, 1980.