Title:
|
Every normal linear system has a regular time-optimal synthesis (English) |
Author:
|
Brunovský, Pavol |
Language:
|
English |
Journal:
|
Mathematica Slovaca |
ISSN:
|
0139-9918 |
Volume:
|
28 |
Issue:
|
1 |
Year:
|
1978 |
Pages:
|
81-100 |
. |
Category:
|
math |
. |
MSC:
|
49K15 |
MSC:
|
93C05 |
idZBL:
|
Zbl 0369.49013 |
idMR:
|
MR527776 |
. |
Date available:
|
2009-09-25T08:53:54Z |
Last updated:
|
2012-07-31 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/131900 |
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Related article:
|
http://dml.cz/handle/10338.dmlcz/129353 |
. |
Reference:
|
[1] ABRAHAM R., ROBBIN J.: Tгansveгsal mappings and flows.Benjamin, New Yoгk and Amsteгdam 1967. MR 0240836 |
Reference:
|
[2] БOЛTЯHCKИЙ B. Г.: Дocтaтoчныe ycлoвия oптимaльнocги и oбocнoвaниe мeтoдa динaмичecкoгo пpoгpaммиpoвaния.Извecтия AH CCCP, cep. мaт., 28, 1968, 481-514. |
Reference:
|
[3] БOЛTЯHCKИЙ B. Г.: Maтeмaтичecкиe мeтoды oптимaльнoгo yпpaвлeния.Hayкa, Mocквa 1969. |
Reference:
|
[4] BRUNOVSKÝ P.: The closed-loop time-optimal contгol I: Optimality.SIAM J. Contг., 12, 1974, 624-634. MR 0355719 |
Reference:
|
[5] BRUNOVSKÝ P., MIRICA S.: Classical and Filippov solutions of the diffeгential equation defined by the time-optimal feedback contгol.Rev. Roum. Math. Puгes Appl., 20, 1975, 873-883. MR 0377665 |
Reference:
|
[6] HERMES H.: Discontinuous vectoг fields and feedback contгol.In: Diffeгential equations and Dynamical systems, J. K. Hale and J. P. LaSalle editoгs, Academic Pгess, New Yoгk and London 1967, 155-165. MR 0222424 |
Reference:
|
[7] HERMES H., LASALLE J. P.: Functional analysis and time-optimal contгol.Academic Press, New Yoгk and London 1969. MR 0420366 |
Reference:
|
[8] HIRONAKA H.: Introduction aux ensembles sous-analytiques.Asteгisque, 7-8, 1973, 13-20. MR 0355094 |
Reference:
|
[9] KRENER A. J.: A generalization of Chow's Theoгem and the bang-bang theoгem to nonlinear contгol pгoblems.SIAM J. Contг., 12, 1974, 43-52. MR 0383206 |
Reference:
|
[10] LEE E. B, MARKUS L.: Foundations of optimal control theoгy.Wiley, New York 1967. MR 0220537 |
Reference:
|
[11] MAЗEP, Дж. H. (MATHER J.): Cтpaтификaции и oтoбpaжeния.Уcпexи мaт нayк 27, 1972, 85-118 MR 0385917 |
Reference:
|
[12] SANSONE G.: Equazioni differenziale nel campo reale.Bologna 1948, Russian translation Moskva 1953. |
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