Generalized transfer functions and input-output equivalence

International Journal of Control

Volumn 68, Issue 5, 1997, Pages 1163-1178

  Hou, M ^a   Pugh, A C ^a   Hayton, G E ^b  

^a LOUGHBOROUGH UNIVERSITY   (United Kingdom)

^b LEEDS METROPOLITAN UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EQUIVALENCE CLASSES; INTEGRODIFFERENTIAL EQUATIONS; LINEAR ALGEBRA; TRANSFER FUNCTIONS;

INPUT OUTPUT EQUIVALENCE;

LINEAR CONTROL SYSTEMS;

EID: 0031269957     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/002071797223262     Document Type: Article

References (21)

1. Callier, F. M., and Desoer, C. A., 1982, Multivariable Feedback Systems (New York: Springer-Verlag).
2. Chua, L. O., and Lin, P.-M., 1975, Computer-Aided Analysis of Electronic Circuits (New Jersey: Prentice-Hall).
3. Emre, E., and Hautus, M. L. J., 1980, A polynomial characterization of (a, b)-invariant and reachability subspaces. SIAM Journal of Control, 18, 420-436.
4. Fuhrmann, P. A., 1977, On strict system equivalence and similarity. International Journal of Control, 25, 5-10.
5. Geerts, A. H. W., and Schumacher, J. M., 1996 a, Impulsive-smooth behaviour in multimode systems. Part I: State-space and polynomial representations. Automatica, 32, 747-758; 1996 b, Impulsive-smooth behaviour in multimode systems. Part II: Minimality and equivalence., 32, 819-832.
6. Greenwood, D. T., 1988, Principles of Dynamics (New Jersey: Prentice-Hall).
7. Hayton, G. E., Fretwell, P., and Pugh, A. G., 1986, Fundamental equivalence of generalised state-space systems. IEEE Transactions on Automatic Control, 31, 431-439.
8. Kailath, T., 1980, Linear Systems (New Jersey: Prentice-Hall).
9. Kuijper, M., and Schumacher, J. M., 1993, Input-output structure of linear differential/ algebraic systems. IEEE Transactions on Automatic Control, 38, 404-414.
10. Lewis, F. L., 1992, A tutorial on the geometric analysis of linear time-invariant implicit system. Automatica, 28, 119-137.
11. Luenberger, D. G., 1978, Time-invariant descriptor systems. IEEE Transactions on Automatic Control, 23, 437-380.
12. Pernebo, L., 1977, Notes on strict system equivalence. International Journal of Control, 25, 21-38.
13. Pugh, A. C., Hayton, G. E., and Walker, A. B., 1990, System matrix characterization of input-output equivalence. International Journal of Control, 51, 1319-1326.
14. Pugh, A. C., Karampetakis, N. P., Vardulakis, A. I. G., and Hayton, G. E., 1994, A fundamental notion of equivalence for linear multivariable systems. IEEE Transactions on Automatic Control, 39, 1141-1145.
15. Rao, C. R., and Mitra, S. K., 1971, Generalized Inverse of Matrices and its Applications (New York: John Wiley).
16. Rosenbrock, H. H., 1970, State Space and Multivariable Theory (London: Nelson-Wiley); 1977, The transformation of strict system equivalence. International Journal of Control, 25, 11-19.
17. Schumacher, J. M., 1988, Transformations of linear systems under external equivalence. Linear Algebra Applications, 102, 1-33.
18. Verghese, G. C., Le'vy, B. C., and Kailath, T., 1981, A generalized state-space for singular system. IEEE Transactions on Automatic Control, 26, 811-831.
19. Vidyasagar, M., 1985, Control System Synthesis: A Factorization Approach (Cambridge: MIT Press).
20. Wang, Y., 1996, Generalized input-output equations and nonlinear realizability. International Journal of Control, 64, 615-629.
21. Willems, J. C., 1991, Paradigms and puzzles in the theory of dynamical systems. IEEE Transactions on Automatic Control, 36, 259-294.