Geodesic
Convergence of conflict-controlled systems over a finite period of time
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 64 (2024), pp. 70-96

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A nonlinear conflict-controlled system is considered over a finite period of time and in a finite-dimensional Euclidean space. The problem of convergence with a compact target set at a fixed point in time is studied. Within the framework of the convergence problem, one of the key issues is investigated — the approximate construction of sets of solvability of the problem. An approach to approximate construction is discussed, the basis of which is a model that complements N.N. Krasovsky's unification method in the theory of differential games.
Keywords: control, conflict-controlled system, target set, differential inclusion, saddle point in a small game, convergence problem, solvability set of the convergence problem, maximum minimax $u$-stable bridge, maximum minimax $u$-stable path 
@article{IIMI_2024_64_a5,
     author = {V. N. Ushakov and A. V. Ushakov and O. A. Kuvshinov},
     title = {Convergence of conflict-controlled systems over a finite period of time},
     journal = {Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta},
     pages = {70--96},
     publisher = {mathdoc},
     volume = {64},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IIMI_2024_64_a5/}
}
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V. N. Ushakov; A. V. Ushakov; O. A. Kuvshinov. Convergence of conflict-controlled systems over a finite period of time. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 64 (2024), pp. 70-96. http://geodesic.mathdoc.fr/item/IIMI_2024_64_a5/