Matematicheskaya Teoriya Igr i Ee Prilozheniya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Teor. Igr Pril.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Matematicheskaya Teoriya Igr i Ee Prilozheniya, 2023, Volume 15, Issue 2, Pages 89–104 (Mi mgta325)  
Reachable set of the Dubins car with an integral constraint on control

Valerii S. Patskoa, Georgii I. Trubnikovb, Andrey A. Fedotova

a N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of RAS
b Ural Federal University
Full-text PDF (571 kB)
References:
PDF
HTML
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. The control action is constrained by an integral quadratic constraint. 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 globally optimal Euler elastics. Simulation results are presented.
Keywords: Dubins car, integral constraint on control, three-dimensional reachable set, Pontryagin maximum principle, Euler elastics, numerical constructions.
Received: 01.05.2023
Revised: 17.05.2023
Accepted: 05.06.2023
Document Type: Article
UDC: 517.977
BBC: 22.18
Language: Russian
Citation: Valerii S. Patsko, Georgii I. Trubnikov, Andrey A. Fedotov, “Reachable set of the Dubins car with an integral constraint on control”, Mat. Teor. Igr Pril., 15:2 (2023), 89–104
Citation in format AMSBIB
\Bibitem{PatTruFed23}
\by Valerii~S.~Patsko, Georgii~I.~Trubnikov, Andrey~A.~Fedotov
\paper Reachable set of the Dubins car with an integral constraint on control
\jour Mat. Teor. Igr Pril.
\yr 2023
\vol 15
\issue 2
\pages 89--104
\mathnet{http://mi.mathnet.ru/mgta325}
Linking options:
  • https://www.mathnet.ru/eng/mgta325
  • https://www.mathnet.ru/eng/mgta/v15/i2/p89
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математическая теория игр и её приложения
    Statistics & downloads:
    Abstract page:128
    Full-text PDF :78
    References:29
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024