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IssuesArchive of Issues2009-4pp.411-420

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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 http://www.sciencedirect.com/science/journal/00218928
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