A Schur Method for Balanced-Truncation Model Reduction

IEEE Transactions on Automatic Control

Volumn 34, Issue 7, 1989, Pages 729-733

  Safonov, M G ^a   Chiang, R Y ^a  

^a UNIVERSITY OF SOUTHERN CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL TECHNIQUES--STATE SPACE METHODS;

BALANCED-TRUNCATION MODEL REDUCTION; EIGENSPACES; MOORE REDUCED MODEL; REACHABILITY/CONTROLLABILITY GRAMMIANS; SCHUR METHOD;

CONTROL SYSTEMS;

EID: 0024700032     PISSN: 00189286     EISSN: 15582523     Source Type: Journal    
DOI: 10.1109/9.29399     Document Type: Article

References (10)

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3. A. J. Laub, “A Schur method for solving algebraic Riccati equations,” IEEE Trans. Automat. Contr., vol. AC-24, pp. 913-921, 1979.
4. —, “Computation of balancing transformations,” in Proc. Joint Automat. Contr. Conf., San Francisco, CA, Aug. 13-15, 1980.
5. A. J. Laub, M. T. Heath, C. C. Page, and R. C. Ward, “Computation of balancing transformations and other applications of simultaneous diagonalization algorithms, IEEE Trans. Automat. Contr., vol. AC-32, pp. 115-122, 1987.
6. G. H. Golub and C. F. Van Loan, Matrix Computations. Baltimore, MD: Johns Hopkins University Press, 1983.
7. S. J. Hammarling, “Numerical solution of The stable, non-negative definite Lyapunov equation,” IMA J. Numer. Anal., vol. 2, pp. 303-323, 1982.
8. M. S. Tombs and I. Postlethwaite, “Truncated balanced realization of a stable non-minimal state space system,” Dep. Eng., Oxford Univ., Oxford, England, Rep. OUEL 1647/86, Dec. 1986.
9. G. W. Stewart, Introduction to Matrix Computations. New York: Academic, 1973, pp. 278-304.
10. D. Enns, “Model reduction for control system design,” Ph.D. dissertation, Stanford Univ., Stanford, CA, 1984.