Journal of Applied Mathematics and Mechanics (about journal) 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
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IssuesArchive of Issues2012-3pp.284-292

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A.N. Kvitko, "A method of solving boundary-value problems for a non-linear control system allowing for delay in the control action," J. Appl. Math. Mech. 76 (3), 284-292 (2012)
Year 2012 Volume 76 Issue 3 Pages 284-292
Title A method of solving boundary-value problems for a non-linear control system allowing for delay in the control action
Author(s) A.N. Kvitko (St Petersburg, Russia, alkvit46@mail.ru)
Abstract An algorithm is developed for constructing a control function that guarantees that a wide class of non-linear control systems, described by ordinary differential equations, is transferred from an initial state into a specified final state, allowing for constraints on the system and a delay in the control signal. A constructive criterion is found for the choice of the final states and the value of the delay in the control signal for which the above transfer is possible. An interorbital flight problem is studied as an example and is modelled numerically.
Received 06 April 2010
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