Geodesic
To solution of control problems of nonlinear systems on a finite time interval
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 46 (2015) no. 2, pp. 202-215

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A nonlinear controlled system on a finite time interval is under consideration. The problem of rapprochement to a target set in the phase space in this period of time is studied. The scheme of approximate calculation of solvability sets based on the use of retrograde step by step procedures is proposed.
Keywords: control system, movement, reachability set, integral funnel, control, solvability set.
Mots-clés : problem of rapprochement 
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V. N. Ushakov; A. R. Matviychuk. To solution of control problems of nonlinear systems on a finite time interval. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 46 (2015) no. 2, pp. 202-215. http://geodesic.mathdoc.fr/item/IIMI_2015_46_2_a25/