 | | Journal of Applied
Mathematics and Mechanics
Russian Academy of Sciences | | Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version) |
Archive of Issues
| Total articles in the database: | | 10522 |
| In Russian (ΟΜΜ): | | 9723
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| In English (J. Appl. Math. Mech.): | | 799 |
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| S.A. Ganebnyi, S.S. Kumkov, and V.S. Patsko, "Extremal aiming in problems with an unknown level of dynamic disturbance," J. Appl. Math. Mech. 73 (4), 411-420 (2009) |
| Year |
2009 |
Volume |
73 |
Issue |
4 |
Pages |
411-420 |
| Title |
Extremal aiming in problems with an unknown level of dynamic disturbance |
| Author(s) |
S.A. Ganebnyi (Ekaterinburg, Russia)
S.S. Kumkov (Ekaterinburg, Russia)
V.S. Patsko (Ekaterinburg, Russia, patsko@imm.uran.ru) |
| Abstract |
The method of extremal aiming, well-known in the theory of differential games, is applied to problems in which the level of dynamic disturbance is not stipulated in advance. Problems with linear dynamics, a fixed termination time and a geometric constraint on the effective control are considered. The aim of the control is to bring the system into a specified terminal set at the instant of termination. A feedback control method is proposed which ensures successful completion if the disturbance does not exceed a certain critical level. Here, "weak" disturbance is countered by a "weak" effective control. A guarantee theorem is formulated and proved. An illustrative example is considered. |
| Received |
23 December 2008 |
| Link to Fulltext |
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