Abstract

MSC: 93C10, 93B03, 93B35 DOI: 10.21538/0134-4889-2022-28-3-274-284 The control systems described by nonlinear differential equations and integral constraints on the control functions are studied. Admissible control functions are chosen from a closed ball of the space $L_p,$ $p\in (1,\infty]$, with radius $r$ and centered at the origin. It is proved that the set of trajectories

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