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Аграчев Андрей Александрович
(публикации за последние годы)
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2018 |
1. |
Andrei A. Agrachev, Carolina Biolo, “Switching in time-optimal problem with control in a ball”, SIAM J. Control Optim., 156:1 (2018), 183–200 |
2. |
A. Agrachev, D. Barilari, E. Paoli, “Volume geodesic distorsion and Ricci curvature for Hamiltonian dynamics”, Annales de l'Institut Fourier, 2018 (to appear) |
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2017 |
3. |
Andrei Agrachev, Davide Barilari, Luca Rizzi, “Sub-Riemannian curvature in contact geometry”, J. Geom. Anal., 27:1 (2017), 366–408 , arXiv: 1505.04374 (cited: 1) (cited: 2) (cited: 3) |
4. |
Andrei A. Agrachev, Carolina Biolo, “Switching in Time-Optimal Problem: the 3D Case with 2D Control”, J. Dyn. Control Syst., 23:3 (2017), 577–595 , arXiv: 1605.05232 (cited: 1) (cited: 1) |
5. |
Ugo Boscain, Andrei Agrachev, Robert Neel, Luca Rizzi, “Intrinsic random walks in Riemannian and sub-Riemannian geometry via volume sampling”, ESAIM: COCV, 2017 (to appear) |
6. |
Andrey A. Agrachev, I. Yu. Beschastnyi, “Symplectic geometry of constrained optimization”, Regul. Chaotic Dyn., 22:6 (2017), 750–770 |
7. |
Andrei A. Agrachev, Francesco Boarotto, Antonio Lerario, “Homotopically invisible singular curves”, 56, 2017, 105, 34 pp. (cited: 1) |
8. |
Andrei Agrachev, Ugo Boscain, Jean-Paul Gauthier, Mario Sigalotti, “A note on time-zero controllability and density of orbits for quantum systems”, Proceed. 56th IEEE Conference on Decision and Control, Melbourne, Australia, December 2017, IEEE Conf. Decis. Control, 56, 2017, 5535–5538 |
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2016 |
9. |
A. A. Agrachev, “Tangent hyperplanes to subriemannian balls”, J. Dyn. Control Syst., 22:4 (2016), 683–692 (cited: 1) (cited: 2) (cited: 2) |
10. |
Andrei Agrachev, Yuliy Baryshnikov, Andrey Sarychev, “Ensemble controllability by Lie algebraic methods”, ESAIM: COCV, 22:4 (2016), 921–938 , arXiv: 1603.07133 (cited: 3) |
11. |
Andrei Agrachev, Davide Barilari, Ugo Boscain, “Introduction to geodesics in sub-Riemannian geometry”, Geometry, Analysis and Dynamics on sub-Riemannian manifolds, v. II, EMS Ser. Lect. Math., Eur. Math. Soc., Zürich, Switzerland, 2016, 1–83 |
12. |
А. А. Аграчев, “Некоторые вопросы субримановой геометрии”, УМН, 71:6(432) (2016), 3–36 ; A. A. Agrachev, “Topics in sub-Riemannian geometry”, Russian Math. Surveys, 71:6 (2016), 989–1019 |
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2015 |
13. |
Andrei Agrachev, Luca Rizzi, Pavel Silveira, “On conjugate times of LQ optimal control problems”, J. Dyn. Control Syst., 21:4 (2015), 625–641 (cited: 3) (cited: 2) (cited: 2) (cited: 2) |
14. |
A. A. Agrachev, “Quadratic cohomology”, Arnold Math. J., 1:1 (2015), 37–58 , arXiv: 1301.2059 |
15. |
A. Agrachev, P. W. Y. Lee, “Bishop and Laplacian comparison theorems on three-dimensional contact sub-Riemannian manifolds with symmetry”, J. Geom. Anal., 25 (2015), 512–535 (cited: 1) (cited: 5) (cited: 5) |
16. |
A. Agrachev, D. Barilari, L. Rizzi, Curvature: a variational approach, Mem. Amer. Math. Soc., Amer. Math. Soc., Providence, RI, 2015 (to appear) , 120 pp., arXiv: 1306.5318 |
17. |
A. A. Agrachev, A. Gentile, A. Lerario, “Geodesics and horizontal-path spaces in Carnot Groups”, Geom. Topol., 19:3 (2015), 1569–1630 (cited: 2) (cited: 5) (cited: 5) |
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2014 |
18. |
A. A. Agrachev, P. Lee, “Generalized Ricci curvature bounds for three dimensional contact subriemannian manifolds”, Math. Ann., 360:1-2 (2014), 209–253 (cited: 13) (cited: 13) (cited: 4) (cited: 12) |
19. |
A. Agrachev, “Some open problems”, Geometric Control Theory and Sub-Riemannian Geometry, Springer INDAM Series, 5, 2014, 1–13 |
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2012 |
20. |
A. Agrachev, D. Barilari, U. Boscain, “On the Hausdorff volume in sub-Riemannian geometry”, Calc. Var. Partial Differential Equations, 43 (2012), 355–388 (cited: 19) (cited: 30) (cited: 16) (cited: 29) |
21. |
A. Agrachev, D. Barilari, “Sub-Riemannian structures in 3D Lie groups”, J. Dyn. Control Syst., 18 (2012), 21–44 (cited: 29) (cited: 34) (cited: 29) (cited: 37) |
22. |
A. A. Agrachev, Yu. Baryshnikov, D. Liberzon, “On robust Lie-algebraic stability conditions for switched linear systems”, Systems Control Lett., 61 (2012), 347–353 (cited: 7) (cited: 14) (cited: 3) (cited: 14) |
23. |
A. Agrachev, L. Lerario, “Systems of quadratic inequalities”, Proc. Lond. Math. Soc. (3), 105:3 (2012), 622–660 (cited: 8) (cited: 9) (cited: 11) |
24. |
A. Agrachev, D. Barilari, U. Boscain, Introduction to Riemannian and sub-Riemannian geometry, http://hdl.handle.net/1963/5877, SISSA, Триест, Италия, 2012 , 179 с. |
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2011 |
25. |
А. А. Аграчев, Р. В. Гамкрелидзе, “Геометрия принципа максимума”, Тр. МИАН, 273 (2011), 5–27 (цит.: 3) (цит.: 2) (цит.: 1); A. A. Agrachev, R. V. Gamkrelidze, “The geometry of maximum principle”, Proc. Steklov Inst. Math., 273 (2011), 1–22 (cited: 3) |
26. |
А. А. Аграчев, “О пространствах симметричных операторов с кратными основными состояниями”, Функц. анализ и его прил., 45:4 (2011), 1–15 (цит.: 2) (цит.: 2) (цит.: 1); A. A. Agrachev, “On the space of symmetric operators with multiple ground states”, Funct. Anal. Appl., 45:4 (2011), 241–251 (cited: 4) (cited: 2) (cited: 4) |
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2010 |
27. |
А. А. Аграчев, “Корректные вариационные задачи с бесконечным горизонтом на компактном многообразии”, Дифференциальные уравнения и топология. I, Сборник статей. К 100-летию со дня рождения академика Льва Семеновича Понтрягина, Тр. МИАН, 268, МАИК, М., 2010, 24–39 (цит.: 1) (цит.: 1) ; A. A. Agrachev, “Well-posed infinite horizon variational problems on a compact manifold”, Proc. Steklov Inst. Math., 268 (2010), 17–31 (cited: 1) (cited: 1) (cited: 1) |
28. |
А. А. Аграчев, “Инвариантные лагранжевы подмногообразия диссипативных систем”, УМН, 65:5(395) (2010), 185–186 (цит.: 1) (цит.: 1) ; A. A. Agrachev, “Invariant Lagrangian submanifolds of dissipative systems”, Russian Math. Surveys, 65:5 (2010), 977–978 |
29. |
A. Agrachev, P. W. Y. Lee, “Continuity of optimal control costs and its application to weak KAM theory”, Calc. Var. Partial Differential Equations, 39:1-2 (2010), 213–232 (cited: 3) (cited: 4) (cited: 3) (cited: 4) |
30. |
A. A. Agrachev, M. Caponigro, “Dynamics control by a time-varying feedback”, J. Dyn. Control Syst., 16:2 (2010), 149–162 (cited: 1) |
31. |
A. A. Agrachev, U. Boscain, G. Charlot, R. Ghezzi, M. Sigalotti, “Two-dimensional almost-Riemannian structures with tangency points”, Ann. Inst. H. Poincaré Anal. Non Linéaire, 27:3 (2010), 793–807 (cited: 14) (cited: 16) (cited: 16) |
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