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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
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Category: math
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MSC: 49E15
MSC: 58F12
MSC: 93B05
idZBL: Zbl 0525.93009
idMR: MR699018
DOI: 10.21136/CMJ.1983.101870
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Date available: 2008-06-09T14:53:47Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/101870
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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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