Vladimir Petukhov
Pereslavl-Zalessky, Yaroslavl Region, 152020 Russia
Ailamazyan Program Systems Institute, Russian Academy of Sciences
Publications:
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Petukhov V. S., Sachkov Y. L.
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.
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