Geodesic
A method for constructing a~resolving control in an approach problem based on attraction to the solvability set
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 19 (2013) no. 2, pp. 275-284

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The problem of approach of a nonlinear control system to a compact target set in the phase space at a fixed time is studied. An algorithm for constructing a solution of this problem based on maximum attraction of the system's motion to the solvability set is proposed.
Keywords: control system, game problem of approach, reachable set, solvability set, integral funnel, invariance, weak invariance. 
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     author = {V. N. Ushakov and A. R. Matviychuk and G. V. Parshikov},
     title = {A method for constructing a~resolving control in an approach problem based on attraction to the solvability set},
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V. N. Ushakov; A. R. Matviychuk; G. V. Parshikov. A method for constructing a~resolving control in an approach problem based on attraction to the solvability set. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 19 (2013) no. 2, pp. 275-284. http://geodesic.mathdoc.fr/item/TIMM_2013_19_2_a26/