| Title:
|
On generic properties of linear systems: An overview (English) |
| Author:
|
Tchoń, Krzysztof |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
19 |
| Issue:
|
6 |
| Year:
|
1983 |
| Pages:
|
467-474 |
| . |
| Category:
|
math |
| . |
| MSC:
|
93B05 |
| MSC:
|
93B07 |
| MSC:
|
93B25 |
| MSC:
|
93Bxx |
| MSC:
|
93C05 |
| MSC:
|
93C35 |
| MSC:
|
93C99 |
| MSC:
|
93D15 |
| idZBL:
|
Zbl 0546.93020 |
| idMR:
|
MR734833 |
| . |
| Date available:
|
2009-09-24T17:37:12Z |
| Last updated:
|
2012-06-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/124704 |
| . |
| Reference:
|
[1] R. W. Brockett: The geometry of the set of controllable linear systems.Res. Rep. Aut. Contr. Lab., Nagoya University 24 (1977), 1 - 7. |
| Reference:
|
[2] R. W. Brockett, M. D. Mesarović: The reproducibility of multivariable systems.J. Math. Anal. Appl. 11 (1965), 548-563. MR 0184743 |
| Reference:
|
[3] P. Brunovský: A classification of linear controllable systems.Kybernetika 6 (1970), 3, 173-187. MR 0284247 |
| Reference:
|
[4] L. E. Dickson: Theory of Numbers.Vol. II. Chelsea, New York 1971. |
| Reference:
|
[5] G. H. Hardy, S. Ramanujan: Asymptotic formulae in combinatory analysis.Proc. London Math. Soc. 17 (1918), 75-115. MR 1575586 |
| Reference:
|
[6] R. Hermann, C. Martin: Algebro-Geometric and Lie-Theoretic Techniques in Systems Theory. Part A.Math. Sci. Press, Brookline 1977. Zbl 0362.93002, MR 0490123 |
| Reference:
|
[7] R. E. Kalman: Algebraic geometric description of the class of linear systems of constant dimension.Proc. 8th Annual Princeton Conf. on Inform. Sci. and Systems, Princeton 1974. |
| Reference:
|
[8] A. W. Olbrot: Genericity and non-genericity of properties of mathematical models.Arch. Automat. Telemech. 5 (1980), 4, 473-481 (in Polish). MR 0626086 |
| Reference:
|
[9] J. Palis, Jr., W. de Melo: Geometric Theory of Dynamical Systems.Springer-Verlag, Berlin 1982. Zbl 0491.58001, MR 0669541 |
| Reference:
|
[10] M. K. Sain, J. L. Massey: Invertibility of linear time-invariant systems.IEEE Trans. Automat. Control AC-15 (1969), 141-149. MR 0246664 |
| Reference:
|
[11] K. Tchoń: On some operations preserving generic properties of systems.Internat. J. Gen. Systems 9 (1983), 89-94. MR 0705713 |
| Reference:
|
[12] R. Thom: Structural Stability and Morphogenesis.Benjamin, New York 1975. Zbl 0303.92002, MR 0488156 |
| Reference:
|
[13] F. W. Warner: Foundations of Differentiable Manifolds and Lie Groups.Scott-Foresman, Glenview 1971. Zbl 0241.58001, MR 0295244 |
| Reference:
|
[14] J. C. Willems: Topological classification and structural stability of linear systems.J. Differential Equations 35 (1980), 306 - 318. Zbl 0394.93024, MR 0563384 |
| Reference:
|
[15] J. C. Willems, W. H. Hesselink: Generic properties of the pole placement problem.Proc. 1978 IFAC Congress, Helsinki, Finland, 1725-1729. |
| Reference:
|
[16] W. M. Wonham: Linear Multivariable Control: A Geometric Approach.Second Edition. Springer-Verlag, Berlin 1979. Zbl 0424.93001, MR 0569358 |
| . |
