Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2018, Volume 148, Pages 25–31 (Mi into300)  
Pursuit Problem of Low-Maneuverable Objects with a Ring-Shape Terminal Set

I. V. Izmest'ev, V. I. Ukhobotov

Chelyabinsk State University
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Abstract: In this paper, we consider a pursuit problem for two moving objects, a pursuer and an evader. The objects move in the same plane under the influence of controlled forces directed always perpendicular to their velocities. The laws of variation of these forces are determined by first-order controllers. The capture is determined by the condition that the relative distance between the objects belongs to a segment with positive endpoints. For the problem considered, we construct a control of the pursuer that guarantees the catch.
Keywords: pursuit problem, control, terminal set.
English version:
Journal of Mathematical Sciences, 2020, Volume 248, Issue 4, Pages 397–403
DOI: https://doi.org/10.1007/s10958-020-04880-4
Bibliographic databases:
Document Type: Article
UDC: 517.977
MSC: 49N75, 91A23
Language: Russian
Citation: I. V. Izmest'ev, V. I. Ukhobotov, “Pursuit Problem of Low-Maneuverable Objects with a Ring-Shape Terminal Set”, Proceedings of the International Conference “Geometric Methods in Control Theory and Mathematical Physics: Differential Equations, Integrability, and Qualitative Theory,” Ryazan, September 15–18, 2016, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 148, VINITI, M., 2018, 25–31; Journal of Mathematical Sciences, 248:4 (2020), 397–403
Citation in format AMSBIB
\Bibitem{IzmUkh18}
\by I.~V.~Izmest'ev, V.~I.~Ukhobotov
\paper Pursuit Problem of Low-Maneuverable Objects with a Ring-Shape Terminal Set
\inbook Proceedings of the International Conference ``Geometric Methods in Control Theory and Mathematical Physics: Differential Equations, Integrability, and Qualitative Theory,'' Ryazan, September 15--18, 2016
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2018
\vol 148
\pages 25--31
\publ VINITI
\publaddr M.
\mathnet{http://mi.mathnet.ru/into300}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3847705}
\transl
\jour Journal of Mathematical Sciences
\yr 2020
\vol 248
\issue 4
\pages 397--403
\crossref{https://doi.org/10.1007/s10958-020-04880-4}
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