Topological and geometrical properties of spaces with symmetric and nonsymmetric f-quasimetrics AV Arutyunov, AV Greshnov, LV Lokutsievskii, KV Storozhuk Topology and its Applications 221, 178-194, 2017 | 48 | 2017 |
Reachable sets for two-level open quantum systems driven by coherent and incoherent controls L Lokutsievskiy, A Pechen Journal of Physics A: Mathematical and Theoretical 54 (39), 395304, 2021 | 36 | 2021 |
Convex trigonometry with applications to sub-Finsler geometry LV Lokutsievskiy arXiv preprint arXiv:1807.08155, 2018 | 28 | 2018 |
Liouville integrability of sub-Riemannian problems on Carnot groups of step 4 or greater LV Lokutsievskiy, YL Sachkov Sbornik: Mathematics 209 (5), 672, 2018 | 25 | 2018 |
Geometry of neighborhoods of singular trajectories in problems with multidimensional control MI Zelikin, LV Lokutsievskiy, R Hildebrand Proceedings of the Steklov Institute of Mathematics 277 (1), 67-83, 2012 | 19 | 2012 |
Геометрия окрестностей особых экстремалей в задачах с многомерным управлением МИ Зеликин, ЛВ Локуциевский, РФ Хильдебранд Труды Математического института имени ВА Стеклова 277 (0), 74-90, 2012 | 15 | 2012 |
Об интегрируемости по Лиувиллю субримановых задач на группах Карно глубины 4 и больше ЛВ Локуциевский, ЮЛ Сачков Математический сборник 209 (5), 74-119, 2018 | 12 | 2018 |
On optimal harvesting of a resource on a circle MI Zelikin, LV Lokutsievskiy, SV Skopincev Mathematical notes 102, 521-532, 2017 | 12 | 2017 |
Explicit Formulae for Geodesics in Left–Invariant Sub–Finsler Problems on Heisenberg Groups via Convex Trigonometry LV Lokutsievskiy Journal of Dynamical and Control Systems 27, 661-681, 2021 | 11 | 2021 |
When is a monotone function cyclically monotone? AI Kushnir, LV Lokutsievskiy Theoretical Economics 16 (3), 853-879, 2021 | 11 | 2021 |
Extremals for a series of sub-Finsler problems with 2-dimensional control via convex trigonometry AA Ardentov, LV Lokutsievskiy, YL Sachkov ESAIM: Control, Optimisation and Calculus of Variations 27, 32, 2021 | 11 | 2021 |
Generic fractal structure of finite parts of trajectories of piecewise smooth Hamiltonian systems R Hildebrand, LV Lokutsievskiy, MI Zelikin Russian Journal of Mathematical Physics 20 (1), 25-32, 2013 | 11 | 2013 |
Выпуклая тригонометрия с приложениями к субфинслеровой геометрии ЛВ Локуциевский Математический сборник 210 (8), 120-148, 2019 | 10 | 2019 |
The analytical solution of Newton’s aerodynamic problem in the class of bodies with vertical plane of symmetry and developable side boundary LV Lokutsievskiy, MI Zelikin ESAIM: Control, Optimisation and Calculus of Variations 26, 15, 2020 | 9 | 2020 |
Оптимальное управление и теория Галуа МИ Зеликин, ДД Киселев, ЛВ Локуциевский Математический сборник 204 (11), 83-98, 2013 | 8 | 2013 |
Hessian measures in the aerodynamic Newton problem LV Lokutsievskiy, MI Zelikin Journal of Dynamical and Control Systems 24, 475-495, 2018 | 7 | 2018 |
Explicit solutions for a series of optimization problems with 2-dimensional control via convex trigonometry AA Ardentov, LV Lokutsievskiy, YL Sachkov Doklady Mathematics 102 (2), 427-432, 2020 | 6 | 2020 |
Решение серии задач оптимального управления с 2-мерным управлением на основе выпуклой тригонометрии АА Ардентов, ЛВ Локуциевский, ЮЛ Сачков Доклады Российской академии наук. Математика, информатика, процессы …, 2020 | 6 | 2020 |
Гамильтоновость потока особых траекторий ЛВ Локуциевский Математический сборник 205 (3), 133-160, 2014 | 6 | 2014 |
Optimal control and Galois theory MI Zelikin, DD Kiselev, LV Lokutsievskiy Sbornik: Mathematics 204 (11), 1624-1638, 2013 | 6 | 2013 |