Model reduction of singular systems

International Journal of Systems Science

Volumn 32, Issue 10, 2001, Pages 1205-1215

  Liu, W Q ^a   Sreeram, V ^a  

^a CURTIN UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; CONTROLLABILITY; OBSERVABILITY;

LAURENT EXPANSIONS; MODEL REDUCTION; SINGULAR SYSTEMS;

SYSTEMS ANALYSIS;

EID: 0035496933     PISSN: 00207721     EISSN: None     Source Type: Journal    
DOI: 10.1080/00207720110034922     Document Type: Article

References (12)

1. Bender, D.J., 1987, Lyapunov-like equations and reachability/observability Gramians for descriptor systems. IEEE Transactions on Automatic and Control, 32, 343-348.
2. Cobb, J. D., 1984, Controllability, observability and duality in singular systems. IEEE Transactions on Automatic Control, 29, 1076-1082.
3. Dai, L., 1989, Singular Control Systems (New York: Springer-Verlag).
4. Gray, W. S., and Verriest, E. I., 1989, On the sensitivity of generalized state space systems. Proceedings on the 28th IEEE Conference on Decision and Control, Tampa, Florida, USA, 1989 (New York: IEEE), pp. 1337-1342.
5. Jamshidi, M., 1983, Large Scale Systems: Modeling and Control (Amsterdam: North-Holland).
6. Kootsookos, P. J., and Bitmead, R. R., 1998, The Nehari shuffle and minimax FIR filter design. Control and Dynamic Systems, 64, 239-298.
7. Doyle, J., Francis, B., and Tannenbaum, A., 1990, Feedback Control Theory (London: Macmillan).
8. Lewis, F. L., Christodoulou, M. A., Mertzios, B. G., and Ozcaldiran, K., 1989, Chained aggregation of singular system. IEEE Transactions on Automatic and Control, 34, 1007-1012.
9. Moore, B. C., 1981, Principle component analysis in linear system: controllability, observability and model reduction. IEEE Transactions on Automatic and Control, 26, 17-31.
10. Perev, K., and Shafai, B., 1994, Balanced realization and model reduction of singular systems. International Journal of Systems Science, 25, 1039-1052.
11. Pernebo, L., and Silverman, L. M., 1982, Model reduction via balanced state space representations. IEEE Transactions Automatic Control, 27, 382-387.
12. Verghese, G. C., Levy, B. C., and Kailath, T., 1981, A generalized state space for singular systems. IEEE Transactions on Automatic Control, 26, 811-831.