Standard

Reachable Set of the Dubins Car with an Integral Constraint on Control. / Patsko, V.; Trubnikov, G.; Fedotov, A.
In: Doklady Mathematics, Vol. 108, No. S1, 2023, p. S34-S41.

Research output: Contribution to journal › Article › peer-review

Harvard

Patsko, V, Trubnikov, G & Fedotov, A 2023, 'Reachable Set of the Dubins Car with an Integral Constraint on Control', Doklady Mathematics, vol. 108, no. S1, pp. S34-S41. https://doi.org/10.1134/S106456242360080X

APA

Patsko, V., Trubnikov, G., & Fedotov, A. (2023). Reachable Set of the Dubins Car with an Integral Constraint on Control. Doklady Mathematics, 108(S1), S34-S41. https://doi.org/10.1134/S106456242360080X

Vancouver

Patsko V, Trubnikov G, Fedotov A. Reachable Set of the Dubins Car with an Integral Constraint on Control. Doklady Mathematics. 2023;108(S1):S34-S41. doi: 10.1134/S106456242360080X

Author

Patsko, V. ; Trubnikov, G. ; Fedotov, A. / Reachable Set of the Dubins Car with an Integral Constraint on Control. In: Doklady Mathematics. 2023 ; Vol. 108, No. S1. pp. S34-S41.

BibTeX

@article{7b25aea256b448178b1dc7e3f20ef46a,
title = "Reachable Set of the Dubins Car with an Integral Constraint on Control",
abstract = "A three-dimensional reachable set for a nonlinear controlled object “Dubins car” is investigated. The control is the angular velocity of rotation of the linear velocity vector. An integral quadratic constraint is imposed on the control. Based on the Pontryagin maximum principle, a description of the motions generating the boundary of the reachable set is given. The motions leading to the boundary are optimal Euler elasticae. Simulation results are presented. {\textcopyright} Pleiades Publishing, Ltd. 2023.",
author = "V. Patsko and G. Trubnikov and A. Fedotov",
year = "2023",
doi = "10.1134/S106456242360080X",
language = "English",
volume = "108",
pages = "S34--S41",
journal = "Doklady Mathematics",
issn = "1064-5624",
publisher = "Pleiades Publishing",
number = "S1",

}

RIS

TY - JOUR

T1 - Reachable Set of the Dubins Car with an Integral Constraint on Control

AU - Patsko, V.

AU - Trubnikov, G.

AU - Fedotov, A.

PY - 2023

Y1 - 2023

N2 - A three-dimensional reachable set for a nonlinear controlled object “Dubins car” is investigated. The control is the angular velocity of rotation of the linear velocity vector. An integral quadratic constraint is imposed on the control. Based on the Pontryagin maximum principle, a description of the motions generating the boundary of the reachable set is given. The motions leading to the boundary are optimal Euler elasticae. Simulation results are presented. © Pleiades Publishing, Ltd. 2023.

AB - A three-dimensional reachable set for a nonlinear controlled object “Dubins car” is investigated. The control is the angular velocity of rotation of the linear velocity vector. An integral quadratic constraint is imposed on the control. Based on the Pontryagin maximum principle, a description of the motions generating the boundary of the reachable set is given. The motions leading to the boundary are optimal Euler elasticae. Simulation results are presented. © Pleiades Publishing, Ltd. 2023.

UR - http://www.scopus.com/inward/record.url?partnerID=8YFLogxK&scp=85186894026

UR - https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=tsmetrics&SrcApp=tsm_test&DestApp=WOS_CPL&DestLinkType=FullRecord&KeyUT=001176063500011

U2 - 10.1134/S106456242360080X

DO - 10.1134/S106456242360080X

M3 - Article

VL - 108

SP - S34-S41

JO - Doklady Mathematics

JF - Doklady Mathematics

SN - 1064-5624

IS - S1

ER -

ID: 54316688