| Title:
|
A simple definition of hidden modes, poles and zeros (English) |
| Author:
|
Fliess, Michel |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
27 |
| Issue:
|
3 |
| Year:
|
1991 |
| Pages:
|
186-189 |
| . |
| Category:
|
math |
| . |
| MSC:
|
93B05 |
| MSC:
|
93B07 |
| MSC:
|
93B55 |
| MSC:
|
93C05 |
| MSC:
|
93C35 |
| idZBL:
|
Zbl 0746.93037 |
| idMR:
|
MR1116832 |
| . |
| Date available:
|
2009-09-24T18:24:44Z |
| Last updated:
|
2012-06-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125809 |
| . |
| Reference:
|
[1] H. Blomberg, R. Ylinen: Algebraic Theory of Multivariate Linear Systems.Academic Press, London 1983. MR 0752519 |
| Reference:
|
[2] F. M. Callier, C A. Desoer: Multivariable Feedback Systems.Springer-Verlag, New York 1982. |
| Reference:
|
[3] G. Conte, A. M. Perdon: Zeros, poles and modules in linear system theory.In: Three Decades of Mathematical System Theory - A Collection of Surveys at the Occasion of the 50th Birthday of J. C Willems (H. Nijmeijer and J. M. Schumacher, eds.; Lecture Notes Control Inform. Sci. 135), Springer-Verlag, Berlin -Heidelberg-New York, 1989, pp. 79-100. Zbl 0701.93016, MR 1025787 |
| Reference:
|
[4] M. Fliess: Automatique et corps differentiels.Forum Math. 1 (1989), 227-238. Zbl 0701.93048, MR 1005424 |
| Reference:
|
[5] M. Fliess: Generalized linear systems with lumped or distributed parameters.Internat. J. Control 49 (1989), 1989-1999. Zbl 0684.93001, MR 1007694 |
| Reference:
|
[6] M. Fliess: Commandabilite, matrices de transfert et modes caches.C R. Acad. Sci. Paris Ser. I. Math. 1-309 (1989), 847-851. Zbl 0685.93009 |
| Reference:
|
[7] M. Fliess: Geometric interpretation of the zeros and of the hidden modes of a constant linear system via a renewed realization theory.Proc. IFAC Workshop "System Structure and Control: State-space and Polynomial Methods", Prague 1989, pp. 209-213. |
| Reference:
|
[8] M. Fliess: Some basic structural properties of generalized linear systems.Systems Control Lett. 75 (1990), 391-396. Zbl 0727.93024, MR 1084580 |
| Reference:
|
[9] B. A. Francis, W. M. Wonham: The role of transmission zeros in linear multivariable regulators.Internat. J. Control 22 (1975), 657-681. Zbl 0321.93016, MR 0456674 |
| Reference:
|
[10] T. Kailath: Linear Systems.Prentice-Hall, Englewood-Cliffs, N. J. 1980. Zbl 0454.93001, MR 0569473 |
| Reference:
|
[11] S. Lang: Algebra.Addison-Wesley, Reading, MA 1965. Zbl 0193.34701, MR 0197234 |
| Reference:
|
[12] A. G. J. MacFarlane, N. Karkanias: Poles and zeros of linear multivariable systems: A survey of the algebraic, geometric and complex variable theory.Internat. J. Control 24 (1976), 33-74. MR 0418989 |
| Reference:
|
[13] H. H. Rosenbrock: State Space and Multivariable Theory.Nelson, London 1970. Zbl 0246.93010, MR 0325201 |
| Reference:
|
[14] C E. Schrader, M. K. Sain: Research on system zeros: A survey.Interr.at. J. Control 50 (1989), 1407-1433. Zbl 0686.93036, MR 1028424 |
| Reference:
|
[15] W. M. Wonham: Linear Multivariable Control: A Geometric Approach.Third edition. Springer-Verlag, New York-Berlin-Heidelberg 1985. Zbl 0609.93001, MR 0770574 |
| Reference:
|
[16] B. F. Wyman, M. K. Sain: Module theoretic zero structures for system matrices.SIAM J. Contiol Optim. 25 (1787), 86-99. Zbl 0617.93010, MR 0872453 |
| . |
