Vladimir Petukhov

    Pereslavl-Zalessky, Yaroslavl Region, 152020 Russia
    vladimir@sycore.org
    Ailamazyan Program Systems Institute, Russian Academy of Sciences

    Publications:

    Petukhov V. S., Sachkov Y. L.
    The Lorentzian Problem on 2-Dimensional de Sitter Space
    2024, Vol. 20, no. 4, pp.  619-633
    Abstract
    This paper considers the Lorentzian optimal control problem on two-dimensional de Sitter space. Normal and abnormal optimal trajectories are studied using the Pontryagin maximum principle. Attainable sets, spheres and distance in the Lorentzian metric are computed. Killing vector fields and isometries are described.
    Keywords: Lorentzian geometry, de Sitter space, optimal control
    Citation: Petukhov V. S., Sachkov Y. L.,  The Lorentzian Problem on 2-Dimensional de Sitter Space, Rus. J. Nonlin. Dyn., 2024, Vol. 20, no. 4, pp.  619-633
    DOI:10.20537/nd241103

    Back to the list