Geodesic
On the construction of resolving control in the problem of getting close at a fixed time moment
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 58 (2021), pp. 73-93

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The problem of getting close of a controlled system with a compact space in a finite-dimensional Euclidean space at a fixed time is studied. A method of constructing a solution to the problem is proposed which is based on the ideology of the maximum shift of the motion of the controlled system by the solvability set of the getting close problem.
Keywords: control, controlled system, getting close problem, reachable set, integral funnel, dual controlled system. 
@article{IIMI_2021_58_a4,
     author = {V. N. Ushakov and A. V. Ushakov and O. A. Kuvshinov},
     title = {On the construction of resolving control in the problem of getting close at a fixed time moment},
     journal = {Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta},
     pages = {73--93},
     publisher = {mathdoc},
     volume = {58},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IIMI_2021_58_a4/}
}
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V. N. Ushakov; A. V. Ushakov; O. A. Kuvshinov. On the construction of resolving control in the problem of getting close at a fixed time moment. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 58 (2021), pp. 73-93. http://geodesic.mathdoc.fr/item/IIMI_2021_58_a4/