Title:
|
On genericity of complete controllability in the space of linear parametrized control systems (English) |
Author:
|
Medveď, Milan |
Language:
|
English |
Journal:
|
Czechoslovak Mathematical Journal |
ISSN:
|
0011-4642 (print) |
ISSN:
|
1572-9141 (online) |
Volume:
|
33 |
Issue:
|
2 |
Year:
|
1983 |
Pages:
|
167-175 |
. |
Category:
|
math |
. |
MSC:
|
49E15 |
MSC:
|
58F12 |
MSC:
|
93B05 |
idZBL:
|
Zbl 0525.93009 |
idMR:
|
MR699018 |
DOI:
|
10.21136/CMJ.1983.101870 |
. |
Date available:
|
2008-06-09T14:53:47Z |
Last updated:
|
2020-07-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101870 |
. |
Reference:
|
[1] R. Abraham J. Robbin: Transversal Mappings and Flows.Benjamin, New York 1967. MR 0240836 |
Reference:
|
[2] V. I. Arnold: Lectures on bifurcations and versal families.(Russian), Usp. Mat. Nauk 27, 5, (1972), 119-184. MR 0413191 |
Reference:
|
[3] J. Dauer: Perturbation of linear control systems.SIAM J. Control 9 (1971), 393 - 400. MR 0299300, 10.1137/0309029 |
Reference:
|
[4] M. Golubitsky V. Guillemin: Stable mappings and their singularities.New York 1973. MR 0341518 |
Reference:
|
[5] R. Kalman Y. С. Но K. S. Narendra: Controllability of linear dynamical systems.Contr. to Diff. Eqs. 1 (1962), 189-213. MR 0155070 |
Reference:
|
[6] E. B. Lee L. Markus: Foundations of optimal control theory.Russian translation, Nauka, Moscow 1972. MR 0354102 |
Reference:
|
[7] M. Medved: Generic properties of linear control systems depending on parameters.Annales Polonici Mathematici, XXXIV (1977), 23-29. |
Reference:
|
[8] R. Thom H. Levine: Singularities of differentiable mappings.Russian translation, Moscow, 1968. MR 0247632 |
Reference:
|
[9] R. Triggiani: Extension of rank conditions for controllability and observability to Banach space and unbounded operators.SIAM J. Control, 2 (1976), 313 - 338. MR 0479499, 10.1137/0314022 |
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