01.01.02 (Differential equations, dynamical systems, and optimal control)
E-mail:
Main publications:
A. V. Podobryaev, Yu. L. Sachkov, “Cut locus of a left invariant Riemannian metric on SO(3) in the axisymmetric case”, Journal of Geometry and Physics, 110 (2016), 436–453 , arXiv: 1504.05472
A. V. Podobryaev, Yu. L. Sachkov, “Symmetric riemannian problem on the group of proper isometries of hyperbolic plane”, Journal of Dynamical and Control Systems, 24:3 (2018), 391–423 , arXiv: 1701.00825
A. V. Podobryaev, Yu. L. Sachkov, “Cut locus of a left invariant Riemannian metric on SO(3) in the axisymmetric case”, Journal of Geometry and Physics, 110 (2016), 436–453 , arXiv: 1504.05472
A. V. Podobryaev, “Diameter of the Berger Sphere”, Math. Notes, 103:5 (2018), 846–851 , arXiv: 1710.02945
3.
A. V. Podobryaev, Yu. L. Sachkov, “Symmetric riemannian problem on the group of proper isometries of hyperbolic plane”, Journal of Dynamical and Control Systems, 24:3 (2018), 391–423 , arXiv: 1701.00825
I. V. Trofimov, E. A. Suleymanova, N. A. Vlasova, A. V. Podobryaev, “Disambiguation between eventive and non-eventive meaning of nouns”, Program Systems: Theory and Applications, 9:4 (2018), 3–33
5.
N. A. Vlasova, A. V. Podobryaev, “To the noun phrase recognition problem in application to automatic information extraction from Russian texts”, Programmnye Sistemy: Teoriya i Prilozheniya, 7:1 (2016), 153–170
6.
A. V. Podobryaev, “Homogeneous geodesics in sub-Riemannian geometry”, ESAIM: Control, Optimisation and Calculus of Variations, 29 (2023), 11 , 17 pp. https://www.esaim-cocv.org/articles/cocv/abs/2023/01/cocv220030/cocv220030.html, arXiv: 2202.09085
A. Podobryaev, “Attainable Set for Rank 3 Step 2 Free Carnot Group with Positive Controls”, 16th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (Moscow, ICS RAS, June 1–3, 2022), IEEE, 2022, 1–4arXiv:2203.02267
A. V. Podobryaev, “Casimir functions of free nilpotent Lie groups of steps three and four”, Journal of Dynamical and Control Systems, 27 (2021), 625–644 , arXiv: 2006.00224
A. V. Podobryaev, “Symmetries in left-invariant optimal control problems”, Sb. Math., 211:2 (2020), 275–290 , arXiv: 1807.09145
10.
A. V. Podobryaev, “Coadjoint orbits of three-step free nilpotent Lie groups and time-optimal control problem”, Doklady Mathematics, 102:1 (2020), 293–295
11.
A. V. Podobryaev, “Symmetric Extremal Trajectories in Left-Invariant Optimal Control Problems”, Russian Journal of Nonlinear Dynamics, 15:4 (2019), 569–575
L. V. Lokutsievskiy, A. V. Podobryaev, “Existence theorem for sub-Lorentzian problems”, Journal of Dynamical and Control Systems, 30 (2024), 10 , 12 pp., arXiv: 2401.07975
13.
A .V. Podobryaev, “Sub-Lorentzian Extremals Defined by an Antinorm”, Differential Equations, 60:3 (2024), 361–373 , arXiv: 2402.04687
14.
A. Mashtakov, A. Podobryaev, “Geodesic Flow of the Sub-Riemannian Structure of Engel Type with Strictly Abnormal Extremals”, 16th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (Moscow, ICS RAS, June 1–3, 2022), IEEE, 2022, 1–3
15.
A. V. Podobryaev, “Antipodal Points and Diameter of a Sphere”, Russian Journal of Nonlinear Dynamics, 14:4 (2018), 579–581 http://nd.ics.org.ru/upload/iblock/aa0/nd180410.pdf
16.
A. V. Podobryaev, Yu. L. Sachkov, “Left-Invariant Riemannian Problems on the Groups of Proper Motions of Hyperbolic Plane and Sphere”, Doklady Mathematics, 95:2 (2017), 176–177
17.
A. V. Podobryaev, “Construction of Maxwell Points in Left-Invariant Optimal Control Problems”, Proc. Steklov Inst. Math., 315 (2021), 190–197
18.
N. A. Vlasova, A. V. Podobryaev, “Automatic noun phrases extraction using preliminary segmentation and CRF with semantic features”, Program Systems: Theory and Applications, 8:4 (2017), 21–30
19.
N. A. Vlasova, A. V. Podobryaev, “Complex time expressions recognition problem in application to automatic information extraction from Russian texts”, Programmnye Sistemy: Teoriya i Prilozheniya, 7:4 (2016), 177–195
20.
A. N. Vinogradov, N. A. Vlasova, E. P. Kurshev, A. V. Podobryayev, E. A. Suleymanova, “Specifics of ontology editor's user interface”, Programmnye Sistemy: Teoriya i Prilozheniya, 4:4 (2013), 33–44