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Аграчев Андрей Александрович
(публикации за последние годы)
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2021 |
1. |
Andrei A. Agrachev, Francesco Boarotto, “Normal forms for the endpoint map near nice singular curves for rank-two distributions”, ESAIM: COCV, 27 (2021), S30 , 32 pp. ; |
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2020 |
2. |
A. Agrachev, D. Barilari, U. Boscain, A comprehensive introduction to sub-Riemannian geometry, Cambridge University Press, 2020 , 763 pp. |
3. |
Andrei Agrachev, Khazhgali Kozhasov, André Uschmajew, “Chebyshev polynomials and best rank-one approximation ratio”, SIAM J. Matrix Anal. Appl., 41:1 (2020), 308–331 (cited: 1); |
4. |
Andrei Agrachev, Ivan Beschastnyi, “Jacobi fields in optimal control: one-dimensional variations”, J. Dynamical and Control Systems, 26 (2020), 685–732 (cited: 1) (cited: 1) |
5. |
A. Agrachev, A. Sarychev, “Control in the space of ensembles of points”, SIAM J. on Control and Optimization, 58 (2020), 1579–1596 (cited: 2) (cited: 2) |
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2019 |
6. |
А. А. Аграчев, “Спектр второй вариации”, Оптимальное управление и дифференциальные уравнения, Сборник статей. К 110-летию со дня рождения академика Льва Семеновича Понтрягина, Тр. МИАН, 304, МИАН, М., 2019, 32–48 ; A. A. Agrachev, “Spectrum of the Second Variation”, Proc. Steklov Inst. Math., 304 (2019), 26–41 |
7. |
A. A. Agrachev, D. Barilari, E. Paoli, “Volume geodesic distortion and ricci curvature for Hamiltonian dynamics”, Ann. Inst. Fourier (Grenoble), 69:3 (2019), 1187–1228 , arXiv: 1602.08745 (cited: 3) (cited: 3); |
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2018 |
8. |
A. Agrachev, D. Barilari, L. Rizzi, Curvature: a variational approach, Mem. Amer. Math. Soc., 256, Amer. Math. Soc., Providence, RI, 2018 , 116 pp., arXiv: 1306.5318 (cited: 47) |
9. |
Andrei A. Agrachev, Carolina Biolo, “Switching in time-optimal problem with control in a ball”, SIAM J. Control Optim., 156:1 (2018), 183–200 (cited: 6) (cited: 6) |
10. |
Andrei Agrachev, Ugo Boscain, Robert Neel, Luca Rizzi, “Intrinsic random walks in Riemannian and sub-Riemannian geometry via volume sampling”, ESAIM: COCV, 24:3 (2018), 1075–1105 (cited: 3) (cited: 5) |
11. |
Andrei A. Agrachev, Carolina Biolo, “Optimality of broken extremals”, J. Dyn. Control Syst., 25:2 (2018), 289–307 (cited: 2) (cited: 2) |
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2017 |
12. |
Andrei Agrachev, Davide Barilari, Luca Rizzi, “Sub-Riemannian curvature in contact geometry”, J. Geom. Anal., 27:1 (2017), 366–408 , arXiv: 1505.04374 (cited: 15) (cited: 19) |
13. |
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: 7) (cited: 7) |
14. |
Andrey A. Agrachev, I. Yu. Beschastnyi, “Symplectic geometry of constrained optimization”, Regul. Chaotic Dyn., 22:6 (2017), 750–770 (cited: 1) (cited: 2) (cited: 2) |
15. |
Andrei A. Agrachev, Francesco Boarotto, Antonio Lerario, “Homotopically invisible singular curves”, Calc. Var. Partial Differential Equations, 56 (2017), 105 , 34 pp. (cited: 4) (cited: 4) |
16. |
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 (cited: 1) (cited: 2) |
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2016 |
17. |
A. A. Agrachev, “Tangent hyperplanes to subriemannian balls”, J. Dyn. Control Syst., 22:4 (2016), 683–692 (cited: 2) (cited: 2) |
18. |
Andrei Agrachev, Yuliy Baryshnikov, Andrey Sarychev, “Ensemble controllability by Lie algebraic methods”, ESAIM: COCV, 22:4 (2016), 921–938 , arXiv: 1603.07133 (cited: 14) (cited: 14) |
19. |
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 |
20. |
А. А. Аграчев, “Некоторые вопросы субримановой геометрии”, УМН, 71:6(432) (2016), 3–36 (цит.: 10) (цит.: 6) ; A. A. Agrachev, “Topics in sub-Riemannian geometry”, Russian Math. Surveys, 71:6 (2016), 989–1019 (cited: 6) (cited: 6) |
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2015 |
21. |
Andrei Agrachev, Luca Rizzi, Pavel Silveira, “On conjugate times of LQ optimal control problems”, J. Dyn. Control Syst., 21:4 (2015), 625–641 (cited: 7) (cited: 2) (cited: 9) |
22. |
A. A. Agrachev, “Quadratic cohomology”, Arnold Math. J., 1:1 (2015), 37–58 , arXiv: 1301.2059 (cited: 2) |
23. |
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: 11) |
24. |
A. A. Agrachev, A. Gentile, A. Lerario, “Geodesics and horizontal-path spaces in Carnot Groups”, Geom. Topol., 19:3 (2015), 1569–1630 (cited: 9) (cited: 9) |
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2014 |
25. |
A. A. Agrachev, P. Lee, “Generalized Ricci curvature bounds for three dimensional contact subriemannian manifolds”, Math. Ann., 360:1-2 (2014), 209–253 (cited: 26) (cited: 4) (cited: 25) |
26. |
A. Agrachev, “Some open problems”, Geometric Control Theory and Sub-Riemannian Geometry, Springer INDAM Series, 5, 2014, 1–13 (cited: 21) |
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2012 |
27. |
A. Agrachev, D. Barilari, U. Boscain, “On the Hausdorff volume in sub-Riemannian geometry”, Calc. Var. Partial Differential Equations, 43 (2012), 355–388 (cited: 38) (cited: 16) (cited: 39) |
28. |
A. Agrachev, D. Barilari, “Sub-Riemannian structures in 3D Lie groups”, J. Dyn. Control Syst., 18 (2012), 21–44 (cited: 57) (cited: 29) (cited: 60) |
29. |
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: 30) (cited: 3) (cited: 30) |
30. |
A. Agrachev, L. Lerario, “Systems of quadratic inequalities”, Proc. Lond. Math. Soc. (3), 105:3 (2012), 622–660 (cited: 12) (cited: 16) |
31. |
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 |
32. |
А. А. Аграчев, Р. В. Гамкрелидзе, “Геометрия принципа максимума”, Тр. МИАН, 273 (2011), 5–27 (цит.: 4) (цит.: 3) (цит.: 1); A. A. Agrachev, R. V. Gamkrelidze, “The geometry of maximum principle”, Proc. Steklov Inst. Math., 273 (2011), 1–22 (cited: 3) |
33. |
А. А. Аграчев, “О пространствах симметричных операторов с кратными основными состояниями”, Функц. анализ и его прил., 45:4 (2011), 1–15 (цит.: 7) (цит.: 7) (цит.: 1); A. A. Agrachev, “On the space of symmetric operators with multiple ground states”, Funct. Anal. Appl., 45:4 (2011), 241–251 (cited: 7) (cited: 2) (cited: 9) |
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2010 |
34. |
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) |
35. |
А. А. Аграчев, “Инвариантные лагранжевы подмногообразия диссипативных систем”, УМН, 65:5(395) (2010), 185–186 (цит.: 3) (цит.: 1) ; A. A. Agrachev, “Invariant Lagrangian submanifolds of dissipative systems”, Russian Math. Surveys, 65:5 (2010), 977–978 (cited: 1) (cited: 1) |
36. |
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: 5) (cited: 3) (cited: 5) |
37. |
A. A. Agrachev, M. Caponigro, “Dynamics control by a time-varying feedback”, J. Dyn. Control Syst., 16:2 (2010), 149–162 (cited: 2) (cited: 3) |
38. |
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: 23) (cited: 24) |
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