Geodesic
The problem of trajectories avoiding a sparse terminal set
Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 495 (2020), pp. 107-111 Cet article a éte moissonné depuis la source Math-Net.Ru

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The problem of avoidance (evasion) in conflict-controlled processes in L.S. Pontryagin and E.F. Mishchenko’s statement is considered. The terminal set has a special discrete (sparse) structure. In contrast to other works, it consists of a countable number of points with distances not limited from below by a fixed positive constant. New sufficient conditions and an evasion method are obtained which make it possible to solve a number of avoiding trajectory problems for oscillatory systems, including the problem of swinging a generalized mathematical pendulum.
Keywords: avoiding, pursuer, evader, control, discrete sparse terminal set, pendulum.
Mots-clés : evasion 
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L. P. Yugai. The problem of trajectories avoiding a sparse terminal set. Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 495 (2020), pp. 107-111. http://geodesic.mathdoc.fr/item/DANMA_2020_495_a21/

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