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.
A. V. Podobryaev, “Symmetries in left-invariant optimal control problems”, Sb. Math., 211:2 (2020), 275–290 , arXiv: 1807.09145
6.
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
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, “Construction of Maxwell Points in Left-Invariant Optimal Control Problems”, Proc. Steklov Inst. Math., 315 (2021), 190–197
11.
A. V. Podobryaev, “Coadjoint orbits of three-step free nilpotent Lie groups and time-optimal control problem”, Doklady Mathematics, 102:1 (2020), 293–295
12.
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
14.
A .V. Podobryaev, “Sub-Lorentzian Extremals Defined by an Antinorm”, Differential Equations, 60:3 (2024), 361–373 , arXiv: 2402.04687
15.
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
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
18.
D. N. Stepanov, A. V. Podobryaev, “Numerical Solution of a Left-Invariant Sub-Riemannian Problem on the Group $SO(3)$”, Rus. J. Nonlin. Dyn., 20:4 (2024), 635–670;
19.
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
20.
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
21.
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
