Geodesic
Optimal trajectory of an observer tracking the motion of an object equipped with a striking device
Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 499 (2021), pp. 73-77

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An object $t$ equipped with a high-speed striking device moves along a given trajectory $\mathscr{T}$. The object is tracked by a spatial observer $f$, which has to hide behind convex fragments of the environment. A method is proposed for constructing an observer trajectory $\mathscr{T}_f$ that makes it possible to track the motion of the object on as long a segment of $\mathscr{T}$ as possible. Under the assumption that the observer leaves for a shelter along $\mathscr{T}_f$ at a constant maximum speed, the object $t$ chooses an optimal mode of speed on its trajectory.
Keywords: navigation, autonomous object, trajectory, observer. 
@article{DANMA_2021_499_a15,
     author = {V. I. Berdyshev},
     title = {Optimal trajectory of an observer tracking the motion of an object equipped with a striking device},
     journal = {Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleni\^a},
     pages = {73--77},
     publisher = {mathdoc},
     volume = {499},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DANMA_2021_499_a15/}
}
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V. I. Berdyshev. Optimal trajectory of an observer tracking the motion of an object equipped with a striking device. Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 499 (2021), pp. 73-77. http://geodesic.mathdoc.fr/item/DANMA_2021_499_a15/