Geodesic
Computing the reachable set bounda for an abstract control system: revisited
Ural mathematical journal, Tome 9 (2023) no. 2, pp. 99-108

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A control system can be treated as a mapping that maps a control to a trajectory (output) of the system. From this point of view, the reachable set, which consists of the ends of all trajectories at a given time, can be considered an image of the set of admissible controls into the state space under a nonlinear mapping. The paper discusses some properties of such abstract reachable sets. The principal attention is paid to the description of the set boundary.
Keywords: Reachable set, nonlinear mapping, control system, extremal problem, maximum principle. 
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     author = {Mikhail I. Gusev},
     title = {Computing the reachable set bounda for an abstract control system: revisited},
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     year = {2023},
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     url = {http://geodesic.mathdoc.fr/item/UMJ_2023_9_2_a7/}
}
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Mikhail I. Gusev. Computing the reachable set bounda for an abstract control system: revisited. Ural mathematical journal, Tome 9 (2023) no. 2, pp. 99-108. http://geodesic.mathdoc.fr/item/UMJ_2023_9_2_a7/