| Полный список публикаций: |
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| 1. |
A. Agrachev, C. Biolo, “Optimality of broken extremals”, J. Dyn. Control Syst. (to appear) |
|
 2018 |
| 2. |
Andrei A. Agrachev, Carolina Biolo, “Switching in time-optimal problem with control in a ball”, SIAM J. Control Optim., 156:1 (2018), 183–200     |
| 3. |
A. Agrachev, D. Barilari, E. Paoli, “Volume geodesic distortion and Ricci curvature for Hamiltonian dynamics”, Annales de l'Institut Fourier, 2018 (to appear) , arXiv: 1602.08745 |
| 4. |
A. Agrachev, Spectrum of the second variation, 2018 , 22 pp., arXiv: 1807.10527 |
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| 2017 |
| 5. |
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: 4) (cited: 6) |
| 6. |
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: 2) |
| 7. |
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) |
| 8. |
Andrey A. Agrachev, I. Yu. Beschastnyi, “Symplectic geometry of constrained optimization”, Regul. Chaotic Dyn., 22:6 (2017), 750–770 |
| 9. |
Andrei A. Agrachev, Francesco Boarotto, Antonio Lerario, “Homotopically invisible singular curves”, Calc. Var. Partial Differential Equations, 56 (2017), 105 , 34 pp. (cited: 1) (cited: 1) |
| 10. |
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 |
| 11. |
А. А. Аграчев, Р. В. Гамкрелидзе, Е. С. Голод, А. Б. Жижченко, Ю. И. Журавлев, В. В. Козлов, А. В. Михалëв, А. В. Овчинников, Н. Х. Розов, А. Л. Семëнов, В. Г. Чирский, В. А. Шамолин, “Юбилей профессора М. В. Шамолина”, Динамические системы, Итоги науки и техн. Сер. Соврем. мат. и ее прил. Темат. обз., 134, ВИНИТИ РАН, Москва, 2017, 3–5 |
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| 2016 |
| 12. |
A. A. Agrachev, “Tangent hyperplanes to subriemannian balls”, J. Dyn. Control Syst., 22:4 (2016), 683–692 (cited: 1) (cited: 2) (cited: 2) |
| 13. |
Andrei Agrachev, Yuliy Baryshnikov, Andrey Sarychev, “Ensemble controllability by Lie algebraic methods”, ESAIM: COCV, 22:4 (2016), 921–938 , arXiv: 1603.07133 (cited: 3) (cited: 3) |
| 14. |
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 |
| 15. |
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 |
| 16. |
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: 3) (cited: 2) (cited: 3) |
| 17. |
A. A. Agrachev, “Quadratic cohomology”, Arnold Math. J., 1:1 (2015), 37–58 , arXiv: 1301.2059 |
| 18. |
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: 6) |
| 19. |
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 |
| 20. |
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: 6) (cited: 6) |
|
| 2014 |
| 21. |
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: 16) (cited: 4) (cited: 14) |
| 22. |
A. Agrachev, “Some open problems”, Geometric Control Theory and Sub-Riemannian Geometry, Springer INDAM Series, 5, 2014, 1–13 |
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| 2013 |
| 23. |
А. А. Аграчëв, Д. В. Аносов, С. М. Асеев, В. М. Бухштабер, А. М. Вершик, Я. Б. Воробец, В. А. Кайманович, Б. С. Кашин, И. Г. Лысëнок, А. Ю. Ольшанский, В. Н. Ремесленников, Я. Г. Синай, С. К. Смирнов, А. М. Степин, И. А. Тайманов, Е. В. Щепин, “Ростислав Иванович Григорчук (к шестидесятилетию со дня рождения)”, УМН, 68:5(413) (2013), 187–190 ; A. A. Agrachëv, D. V. Anosov, S. M. Aseev, V. M. Buchstaber, A. M. Vershik, Ya. B. Vorobets, V. A. Kaimanovich, B. S. Kashin, I. G. Lysënok, A. Yu. Ol'shanskii, V. N. Remeslennikov, Ya. G. Sinai, S. K. Smirnov, A. M. Stepin, I. A. Taimanov, E. V. Shchepin, “Rostislav Ivanovich Grigorchuk (on his sixtieth birthday)”, Russian Math. Surveys, 68:5 (2013), 967–971 |
|
| 2012 |
| 24. |
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: 31) (cited: 16) (cited: 30) |
| 25. |
A. Agrachev, D. Barilari, “Sub-Riemannian structures in 3D Lie groups”, J. Dyn. Control Syst., 18 (2012), 21–44 (cited: 29) (cited: 39) (cited: 29) (cited: 42) |
| 26. |
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) |
| 27. |
A. Agrachev, L. Lerario, “Systems of quadratic inequalities”, Proc. Lond. Math. Soc. (3), 105:3 (2012), 622–660 (cited: 8) (cited: 10) (cited: 12) |
| 28. |
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. |
| 29. |
А. А. Аграчев, Д. В. Аносов, И. А. Богаевский, А. С. Бортаковский, А. Б. Будак, В. А. Васильев, В. В. Горюнов, С. М. Гусейн-Заде, А. А. Давыдов, В. К. Зародов, В. Д. Седых, Д. В. Трещëв, В. Н. Чубариков, “Владимир Михайлович Закалюкин (некролог)”, УМН, 67:2(404) (2012), 187–190 ; A. A. Agrachev, D. V. Anosov, I. A. Bogaevskii, A. S. Bortakovskii, A. B. Budak, V. A. Vassiliev, V. V. Goryunov, S. M. Gusein-Zade, A. A. Davydov, V. R. Zarodov, V. D. Sedykh, D. V. Treshchev, V. N. Chubarikov, “Vladimir Mikhailovich Zakalyukin (obituary)”, Russian Math. Surveys, 67:2 (2012), 375–379 |
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| 2011 |
| 30. |
А. А. Аграчев, Р. В. Гамкрелидзе, “Геометрия принципа максимума”, Тр. МИАН, 273 (2011), 5–27 (цит.: 4) (цит.: 2) (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) |
| 31. |
А. А. Аграчев, “О пространствах симметричных операторов с кратными основными состояниями”, Функц. анализ и его прил., 45:4 (2011), 1–15 (цит.: 4) (цит.: 2) (цит.: 4) (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) |
|
| 2010 |
| 32. |
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) (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) |
| 33. |
А. А. Аграчев, “Инвариантные лагранжевы подмногообразия диссипативных систем”, УМН, 65:5(395) (2010), 185–186 (цит.: 2) (цит.: 1) ; A. A. Agrachev, “Invariant Lagrangian submanifolds of dissipative systems”, Russian Math. Surveys, 65:5 (2010), 977–978 |
| 34. |
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: 5) (cited: 3) (cited: 5) |
| 35. |
A. A. Agrachev, M. Caponigro, “Dynamics control by a time-varying feedback”, J. Dyn. Control Syst., 16:2 (2010), 149–162 (cited: 1) (cited: 2) |
| 36. |
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: 17) |
| 37. |
Ю. С. Осипов, В. В. Козлов, Л. Д. Фаддеев, Д. В. Аносов, В. С. Владимиров, Р. В. Гамкрелидзе, А. А. Гончар, Н. Н. Красовский, А. В. Кряжимский, А. Б. Куржанский, С. П. Новиков, С. М. Асеев, А. Б. Жижченко, Д. В. Трещëв, А. А. Аграчев, Е. А. Волков, Н. Л. Григоренко, А. А. Давыдов, М. И. Зеликин, А. Ю. Колесов, А. А. Мальцев, М. С. Никольский, Н. Х. Розов, А. Г. Сергеев, К. О. Бесов, С. П. Коновалов, “Памяти Евгения Фроловича Мищенко”, Дифференциальные уравнения и топология. II, Сборник статей. К 100-летию со дня рождения академика Льва Семеновича Понтрягина, Тр. МИАН, 271, МАИК, М., 2010, 7–8 ; Yu. S. Osipov, V. V. Kozlov, L. D. Faddeev, D. V. Anosov, V. S. Vladimirov, R. V. Gamkrelidze, A. A. Gonchar, N. N. Krasovskii, A. V. Kryazhimskii, A. B. Kurzhanskii, S. P. Novikov, S. M. Aseev, A. B. Zhizhchenko, D. V. Treschev, A. A. Agrachev, E. A. Volkov, N. L. Grigorenko, A. A. Davydov, M. I. Zelikin, A. Yu. Kolesov, A. A. Mal'tsev, M. S. Nikol'skii, N. Kh. Rozov, A. G. Sergeev, K. O. Besov, S. P. Konovalov, “In memory of Evgenii Frolovich Mishchenko”, Proc. Steklov Inst. Math., 271 (2010), 1–2 |
|
| 2009 |
| 38. |
A. A. Agrachev, F. C. Chittaro, “Smooth optimal synthesis for infinite horizon variational problems”, ESAIM Control Optim. Calc. Var., 15:1 (2009), 173–188 (cited: 1) (cited: 1) (cited: 1) (cited: 1) |
| 39. |
A. Agrachev, U. Boscain, J.-P. Gauthier, F. Rossi, “The intrinsic hypoelliptic Laplacian and its heat kernel on unimodular Lie groups”, J. Func. Anal., 256:8 (2009), 2621–2655 (cited: 37) (cited: 55) (cited: 57) |
| 40. |
А. А. Аграчëв, “У любой субримановой метрики есть точки гладкости”, Докл. РАН, 424:3 (2009), 295–298 (цит.: 9) (цит.: 7) (цит.: 3); A. A. Agrachev, “Any sub-Riemannian metric has points of smoothness”, Russian Math. Dokl., 79:1 (2009), 1–3 (cited: 7) (cited: 7) (cited: 1) |
| 41. |
A. Agrachev, P. Lee, “Optimal transportation under nonholonomic constraints”, Trans. Amer. Math. Soc., 361:11 (2009), 6019–6047 (cited: 12) (cited: 20) (cited: 13) (cited: 19) |
| 42. |
A. A. Agrachev, M. Caponigro, “Controllability on the group of diffeomorphisms”, Ann. Inst. H. Poincaré Anal. Non Linéaire, 26:6 (2009), 2503–2509 (cited: 6) (cited: 10) (cited: 8) (cited: 11) |
|
| 2008 |
| 43. |
A. A. Agrachev, F. C. Chittaro, “Extremals flows and infinite horizon optimization”, Mathematical control theory and finance, Springer, Berlin, 2008, 1–13 (cited: 1) |
| 44. |
A. Agrachev, “Hamiltonian systems and optimal control”, Hamiltonian dynamical systems and applications, NATO Sci. Peace Secur. Ser. B Phys. Biophys., Springer, Dordrecht, 2008, 143–156 |
| 45. |
A. Agrachev, A. Sarychev, “Solid controllability in fluid dynamics”, Instability in models connected with fluid flows. I, Int. Math. Ser. (N. Y.), 6, Springer, New York, 2008, 1–35 (cited: 4) |
| 46. |
A. A. Agrachev, “Geometry of optimal control problems and Hamiltonian systems”, Nonlinear and optimal control theory, Lectures given at the C.I.M.E. Summer School (Cetraro, June 19–29, 2004), Lecture Notes in Math., 1932, eds. P. Nistri, G. Stefani, Springer, Berlin, 2008, 1–59 (cited: 22) (cited: 22) (cited: 17) (cited: 8) (cited: 17) |
| 47. |
A. Agrachev, U. Boscain, M. Sigalotti, “A Gauss-Bonnet-like formula on two-dimensional almost-Riemannian manifolds”, Discrete Contin. Dyn. Syst., 20:4 (2008), 801–822 (cited: 22) (cited: 28) (cited: 29) |
| 48. |
A. Agrachev, Any sub-Riemannian Metric has Points of Smoothness, 2008 , arXiv: 0808.4059 |
| 49. |
A. Agrachev, M. Caponigro, Families of vector fields which generate the group of diffeomorphisms, 2008 , arXiv: 0804.4403 |
|
| 2007 |
| 50. |
Agrachev A. A., Boscain U., Sigalotti M., “Two-dimensional almost-Riemannian manifolds”, Subelliptic PDE's and applications to geometry and finance, Lect. Notes Semin. Interdiscip. Mat., 6, Semin. Interdiscip. Mat. (S.I.M.), Potenza, 2007, 17–31 (cited: 3) |
| 51. |
Agrachev A., Zelenko I., “On feedback classification of control-affine systems with one- and two-dimensional inputs”, SIAM J. Control Optim., 46:4 (2007), 1431–1460 (electronic) (cited: 7) (cited: 11) (cited: 6) (cited: 10) |
| 52. |
Agrachev A., Kuksin S., Sarychev A., Shirikyan A., “On finite-dimensional projections of distributions for solutions of randomly forced 2D Navier-Stokes equations”, Ann. Inst. H. Poincaré Probab. Statist., 43:4 (2007), 399–415 (cited: 11) (cited: 13) (cited: 11) (cited: 13) |
| 53. |
А. А. Аграчев, “Качение шаров и октавы”, Анализ и особенности. Часть 1, Сборник статей. К 70-летию со дня рождения академика Владимира Игоревича Арнольда, Тр. МИАН, 258, Наука, М., 2007, 17–27 (цит.: 16) (цит.: 13) ; A. A. Agrachev, “Rolling Balls and Octonions”, Proc. Steklov Inst. Math., 258 (2007), 13–22 (cited: 13) (cited: 16) |
| 54. |
А. А. Аграчев, “Кривизна и гиперболичность гамильтоновых систем”, Динамические системы и оптимизация, Сборник статей. К 70-летию со дня рождения академика Дмитрия Викторовича Аносова, Тр. МИАН, 256, Наука, М., 2007, 31–53 (цит.: 2) (цит.: 2) (цит.: 1); A. A. Agrachev, “The Curvature and Hyperbolicity of Hamiltonian Systems”, Proc. Steklov Inst. Math., 256 (2007), 26–46 (cited: 1) (cited: 1) |
| 55. |
A. Agrachev, “Optimal control of measures”, Bull. Georgian Natl. Acad. Sci. (N.S.), 1(175):4 (2007), 5–11 |
|
| 2006 |
| 56. |
Agrachev A. A., Sarychev A. V., “Controllability of 2D Euler and Navier-Stokes equations by degenerate forcing”, Comm. Math. Phys., 265:3 (2006), 673–697 (cited: 12) (cited: 16) (cited: 14) (cited: 15) |
| 57. |
Agrachev A., Chambrion Th., “An estimation of the controllability time for single-input systems on compact Lie groups”, ESAIM Control Optim. Calc. Var., 12:3 (2006), 409–441 (electronic) (cited: 10) (cited: 14) (cited: 16) |
| 58. |
А. А. Аграчев, Р. В. Гамкрелидзе, “Принцип максимума Понтрягина 50 лет спустя”, Динамические системы: моделирование, оптимизация, управление, Сборник научных трудов, Тр. ИММ УрО РАН, 12, № 1, 2006, 6–14 (цит.: 1) (цит.: 1) (цит.: 1); A. A. Agrachev, R. V. Gamkrelidze, “The Pontryagin Maximum Principle 50 years later”, Proc. Inst. Math. Mech., 253, suppl. 1 (2006), S4–S12 |
|
| 2005 |
| 59. |
Agrachev A., Marigo A., “Rigid Carnot algebras: a classification”, J. Dyn. Control Syst., 11:4 (2005), 449–494 (cited: 5) (cited: 7) (cited: 5) (cited: 8) |
| 60. |
Agrachëv A. A., Shcherbakova N. N., “Hyperbolicity of Hamiltonian systems of negative curvature”, Dokl. Akad. Nauk, 400:3 (2005), 295–298 (cited: 1) (cited: 5) (cited: 6) |
| 61. |
Agrachev A. A., Chtcherbakova N. N., Zelenko I., “On curvatures and focal points of dynamical Lagrangian distributions and their reductions by first integrals”, J. Dyn. Control Syst., 11:3 (2005), 297–327 (cited: 5) (cited: 7) (cited: 7) (cited: 7) |
| 62. |
Agrachev A. A., Sarychev A. V., “Navier-Stokes equations: controllability by means of low modes forcing”, J. Math. Fluid Mech., 7:1 (2005), 108–152 (cited: 27) (cited: 36) (cited: 31) (cited: 34) |
|
| 2004 |
| 63. |
А. А. Аграчев, Р. В. Гамкрелидзе, “Vector fields on $n$-bundles over $2n$-dimensional manifolds”, Геометрические задачи теории управления, Современная математика и ее приложения, 21, 2004, 3–18 (цит.: 3); Agrachev A. A., Gamkrelidze R. V., “Vector fields on $n$-foliated $2n$-dimensional manifolds”, J. Math. Sci. (N. Y.), 135:4 (2006), 3093–3108 |
| 64. |
Agrachëv A. A., Sarychev A. V., “Controllability for the Navier-Stokes equation with small control”, Dokl. Akad. Nauk, 394:6 (2004), 727–730 (cited: 1) (cited: 2) |
| 65. |
Agrachev A. A., Sachkov Yu. L., Control theory from the geometric viewpoint, Control Theory and Optimization, II, Encyclopaedia of Mathematical Sciences, 87, Springer-Verlag, Berlin, 2004 , xiv+412 pp. (cited: 318) |
|
| 2003 |
| 66. |
Agrachev A., Marigo A., “Nonholonomic tangent spaces: intrinsic construction and rigid dimensions”, Electron. Res. Announc. Amer. Math. Soc., 9 (2003), 111–120 (electronic) (cited: 10) (cited: 15) (cited: 16) (cited: 14) |
| 67. |
Agrachev A. A., Sigalotti M., “On the local structure of optimal trajectories in $\mathbf R^3$”, SIAM J. Control Optim., 42:2 (2003), 513–531 (electronic) (cited: 14) (cited: 22) (cited: 20) (cited: 26) |
|
| 2002 |
| 68. |
Agrachev A. A., “Introduction to optimal control theory”, Mathematical control theory, Part 1, 2 (Trieste, 2001), ICTP Lect. Notes, VIII, Abdus Salam Int. Cent. Theoret. Phys., Trieste, 2002, 453–513 (electronic) (cited: 5) |
| 69. |
Agrachev A. A., Stefani G., Zezza P., “Strong optimality for a bang-bang trajectory”, SIAM J. Control Optim., 41:4 (2002), 991–1014 (electronic) (cited: 25) (cited: 72) (cited: 71) |
| 70. |
Agrachev A., Zelenko I., “Geometry of Jacobi curves. II”, J. Dynam. Control Systems, 8:2 (2002), 167–215 (cited: 19) (cited: 16) (cited: 10) (cited: 11) |
| 71. |
Agrachev A. A., Stefani G., Zezza P., “Symplectic methods for strong local optimality in the bang-bang case”, Contemporary trends in nonlinear geometric control theory and its applications (México City, 2000), World Sci. Publ., River Edge, NJ, 2002, 169–181 (cited: 1) |
| 72. |
Agrachev A. A., Zelenko I., “Geometry of Jacobi curves. I”, J. Dynam. Control Systems, 8:1 (2002), 93–140 (cited: 22) (cited: 30) (cited: 27) (cited: 33) |
|
| 2001 |
| 73. |
Agrachëv A. A., “A “Gauss-Bonnet formula” for contact sub-Riemannian manifolds”, Dokl. Akad. Nauk, 381:5 (2001), 583–585 (cited: 4) |
| 74. |
Agrachev A. A., Liberzon D., “Lie-algebraic stability criteria for switched systems”, SIAM J. Control Optim., 40:1 (2001), 253–269 (electronic) (cited: 73) (cited: 220) (cited: 251) |
| 75. |
Agrachev A., Gauthier J.-P., “On the subanalyticity of Carnot-Caratheodory distances”, Ann. Inst. H. Poincaré Anal. Non Linéaire, 18:3 (2001), 359–382 (cited: 22) (cited: 21) (cited: 24) (cited: 31) |
| 76. |
Agrachev A., Zelenko I., “Principal invariants of Jacobi curves”, Nonlinear control in the year 2000 (Paris), Vol. 1, Lecture Notes in Control and Inform. Sci., 258, Springer, London, 2001, 9–21 (cited: 6) |
| 77. |
Agrachev A., Gauthier J.-P., “Subanalyticity of distance and spheres in sub-Riemannian geometry”, Nonlinear control in the year 2000 (Paris), Vol. 1, Lecture Notes in Control and Inform. Sci., 258, Springer, London, 2001, 1–8 |
|
| 2000 |
| 78. |
Agrachev A. A., Charlot G., Gauthier J. P. A., Zakalyukin V. M., “On sub-Riemannian caustics and wave fronts for contact distributions in the three-space”, J. Dynam. Control Systems, 6:3 (2000), 365–395 (cited: 8) (cited: 6) (cited: 9) |
| 79. |
Agrachev A. A., Charlot G., Gauthier J.-P. A., Zakalyukin V. M., “On stability of generic subriemannian caustic in the three-space”, C. R. Acad. Sci. Paris Sér. I Math., 330:6 (2000), 465–470 (cited: 1) (cited: 2) (cited: 1) |
|
| 1999 |
| 80. |
Agrachev A. A., “Is it possible to recognize local controllability in a finite number of differentiations?”, Open problems in mathematical systems and control theory, Comm. Control Engrg. Ser., Springer, London, 1999, 15–18 (cited: 6) |
| 81. |
Agrachev A. A., Gauthier J.-P. A., “On the Dido problem and plane isoperimetric problems”, Acta Appl. Math., 57:3 (1999), 287–338 (cited: 4) (cited: 7) (cited: 6) (cited: 6) |
| 82. |
Agrachev A. A., Sarychev A. V., “Sub-Riemannian metrics: minimality of abnormal geodesics versus subanalyticity”, ESAIM Control Optim. Calc. Var., 4 (1999), 377–403 (electronic) (cited: 15) |
| 83. |
Agrachev A., Stefani G., Zezza P., “A Hamiltonian approach to strong minima in optimal control”, Differential geometry and control (Boulder, CO, 1997), Proc. Sympos. Pure Math., 64, Amer. Math. Soc., Providence, RI, 1999, 11–22 (cited: 9) |
| 84. |
А. А. Аграчев, Ж. П. А. Готье, “Субримановы метрики и изопериметрические задачи в контактном случае”, Труды международной конференции, посвященной 90-летию со дня рождения Л. С. Понтрягина (Москва, 31 августа – 6 сентября 1998 г.). Том 3. Геометрическая теория управления, Итоги науки и техн. Сер. Соврем. мат. и ее прил. Темат. обз., 64, ВИНИТИ, М., 1999, 5–48 (цит.: 3) (цит.: 9) ; A. A. Agrachev, J.-P. A. Gauthier, “Sub-Riemannian metrics and isoperimetric problems in the contact case”, J. Math. Sci. (New York), 103:6 (2001), 639–663 (cited: 5) (cited: 7) |
|
| 1998 |
| 85. |
Agrachev A., “Compactness for sub-Riemannian length-minimizers and subanalyticity”, Control theory and its applications (Grado, 1998), Rend. Sem. Mat. Univ. Politec. Torino, 56, no. 4, 1998, 1–12 (2001) (cited: 21) |
| 86. |
Agrachev A. A., “Feedback-invariant optimal control theory and differential geometry. II. Jacobi curves for singular extremals”, J. Dynam. Control Systems, 4:4 (1998), 583–604 (cited: 20) (cited: 22) (cited: 23) |
| 87. |
Agrachev A., Stefani G., Zezza P., “An invariant second variation in optimal control”, Internat. J. Control, 71:5 (1998), 689–715 (cited: 7) (cited: 17) (cited: 18) (cited: 21) |
| 88. |
Agrachev A. A., Chakir El-A. El-H., Gauthier J. P., “Sub-Riemannian metrics on $\mathbf R^3$”, Geometric control and non-holonomic mechanics (Mexico City, 1996), CMS Conf. Proc., 25, Amer. Math. Soc., Providence, RI, 1998, 29–78 (cited: 23) |
| 89. |
Agrachev A., Gamkrelidze R., “Symplectic methods for optimization and control”, Geometry of feedback and optimal control, Monogr. Textbooks Pure Appl. Math., 207, Dekker, New York, 1998, 19–77 (cited: 18) |
| 90. |
Agrachev A. A., Sarychev A. V., “On abnormal extremals for Lagrange variational problems”, J. Math. Systems Estim. Control, 8:1 (1998), 87–118 (cited: 16) (cited: 22) |
| 91. |
А. А. Аграчев, П. Дзедза, Ж. Стефани, “Сильные минимумы в оптимальном управлении”, Оптимальное управление, дифференциальные уравнения и гладкая оптимизация, Сборник статей. К 70-летию со дня рождения члена-корреспондента РАН Реваза Валериановича Гамкрелидзе, Тр. МИАН, 220, Наука, М., 1998, 8–26 (цит.: 11) (цит.: 4) ; A. A. Agrachev, P. Zezza, G. Stefani, “Strong minima in optimal control”, Proc. Steklov Inst. Math., 220 (1998), 4–22 |
| 92. |
А. А. Аграчев, Е. Ф. Мищенко, “Вместо введения. О работах Р. В. Гамкрелидзе”, Оптимальное управление, дифференциальные уравнения и гладкая оптимизация, Сборник статей. К 70-летию со дня рождения члена-корреспондента РАН Реваза Валериановича Гамкрелидзе, Тр. МИАН, 220, Наука, М., 1998, 5–7 (цит.: 9) ; A. A. Agrachev, E. F. Mishchenko, “Introduction. On works of R. V. Gamkrelidze”, Proc. Steklov Inst. Math., 220 (1998), 1–3 |
|
| 1997 |
| 93. |
Agrachev A., Bonnard B., Chyba M., Kupka I., “Sub-Riemannian sphere in Martinet flat case”, ESAIM Control Optim. Calc. Var., 2 (1997), 377–448 (electronic) (cited: 37) |
| 94. |
Agrachev A. A., Pallaschke D., Scholtes S., “On Morse theory for piecewise smooth functions”, J. Dynam. Control Systems, 3:4 (1997), 449–469 (cited: 14) (cited: 18) (cited: 18) |
| 95. |
Agrachev A. A., Gamkrelidze R. V., “Feedback-invariant optimal control theory and differential geometry. I. Regular extremals”, J. Dynam. Control Systems, 3:3 (1997), 343–389 (cited: 36) (cited: 41) (cited: 49) |
|
| 1996 |
| 96. |
Agrachev A. A., Sarychev A. V., “Abnormal sub-Riemannian geodesics: Morse index and rigidity”, Ann. Inst. H. Poincaré Anal. Non Linéaire, 13:6 (1996), 635–690 (cited: 44) |
| 97. |
Agrachev A. A., “Exponential mappings for contact sub-Riemannian structures”, J. Dynam. Control Systems, 2:3 (1996), 321–358 (cited: 32) (cited: 43) (cited: 53) |
| 98. |
Agrachev Andrei, El Alaoui El-Houcine Chakir, Gauthier Jean-Paul, Kupka Ivan, “Generic singularities of sub-Riemannian metrics on $\mathbf R^3$”, C. R. Acad. Sci. Paris Sér. I Math., 322:4 (1996), 377–384 (cited: 3) |
|
| 1995 |
| 99. |
Agrachev A. A., Sarychev A. V., “On abnormal extremals for Lagrange variational problems”, J. Math. Systems Estim. Control, 5:1 (1995) , 31 pp. (electronic) (cited: 4) |
| 100. |
Agrachev A. A., “Methods of control theory in nonholonomic geometry”, Proceedings of the International Congress of Mathematicians (Zürich, 1994), v. 1, 2, Birkhäuser, Basel, 1995, 1473–1483 (cited: 14) |
| 101. |
Agrachëv A. A., “On regularity properties of extremal controls”, J. Dynam. Control Systems, 1:3 (1995), 319–324 (cited: 2) (cited: 3) (cited: 5) |
| 102. |
Agrachëv A. A., Sarychev A. V., “Strong minimality of abnormal geodesics for 2-distributions”, J. Dynam. Control Systems, 1:2 (1995), 139–176 (cited: 10) (cited: 11) (cited: 22) |
| 103. |
А. А. Аграчев, Р. В. Гамкрелидзе, “Об орбитах групп диффеоморфизмов и потоков”, Особенности гладких отображений с дополнительными структурами, Сборник статей, Тр. МИАН, 209, Наука, Физматлит, М., 1995, 3–13 ; A. A. Agrachev, R. V. Gamkrelidze, “On the orbits of groups of diffeomorphisms and flows”, Proc. Steklov Inst. Math., 209 (1995), 1–10 |
|
| 1994 |
| 104. |
Agrachëv A. A., Gamkrelidze R. V., “The shuffle product and symmetric groups”, Differential equations, dynamical systems, and control science, Lecture Notes in Pure and Appl. Math., 152, Dekker, New York, 1994, 365–382 (cited: 6) (cited: 61) |
|
| 1993 |
| 105. |
Agrachëv A. A., Gamkrelidze R. V., “Local controllability and semigroups of diffeomorphisms”, Acta Appl. Math., 32:1 (1993), 1–57 (cited: 9) (cited: 15) (cited: 4) (cited: 18) |
| 106. |
Agrachëv A. A., Gamkrelidze R. V., “Local controllability for families of diffeomorphisms”, Systems Control Lett., 20:1 (1993), 67–76 (cited: 1) (cited: 3) (cited: 2) (cited: 6) |
|
| 1991 |
| 107. |
Agrachëv A. A., Vakhrameev S. A., “Morse theory and optimal control problems”, Nonlinear synthesis (Sopron, 1989), Progr. Systems Control Theory, 9, Birkhäuser Boston, Boston, MA, 1991, 1–11 (cited: 5) |
| 108. |
Agrachëv A. A., “Newton diagrams and tangent cones to attainable sets”, Analysis of controlled dynamical systems (Lyon, 1990), Progr. Systems Control Theory, 8, Birkhäuser Boston, Boston, MA, 1991, 11–20 (cited: 2) |
| 109. |
А. А. Аграчев, Р. В. Гамкрелидзе, “Ряды Вольтерра и группы подстановок”, Итоги науки и техн. Сер. Соврем. пробл. мат. Нов. достиж., 39, ВИНИТИ, М., 1991, 3–40 (цит.: 1) ; A. A. Agrachev, R. V. Gamkrelidze, “Volterra series and permutation groups”, J. Math. Sci., 71:3 (1994), 2409–2433 (cited: 1) |
| 110. |
Е. Р. Аваков, А. А. Аграчев, А. В. Арутюнов, “Множество уровня гладкого отображения в окрестности особой точки и нули квадратичного отображения”, Матем. сб., 182:8 (1991), 1091–1104 (цит.: 14) (цит.: 9) (цит.: 9); E. R. Avakov, A. A. Agrachev, A. V. Arutyunov, “The level set of a smooth mapping in a neighborhood of a singular point, and zeros of a quadratic mapping”, Math. USSR-Sb., 73:2 (1992), 455–466 (cited: 9) (cited: 8) |
| 111. |
А. А. Аграчев, Р. В. Гамкрелидзе, “Симплектическая геометрия и необходимые условия оптимальности”, Матем. сб., 182:1 (1991), 36–54 (цит.: 8) (цит.: 4) (цит.: 2); A. A. Agrachev, R. V. Gamkrelidze, “Symplectic geometry and conditions necessary conditions for optimality”, Math. USSR-Sb., 72:1 (1992), 29–45 (cited: 2) (cited: 2) |
|
| 1990 |
| 112. |
Agrachëv A. A., Gamkrelidze R. V., “The “time substitution” variation in optimal control”, Dokl. Akad. Nauk SSSR, 311:2 (1990), 265–270 ; Soviet Math. Dokl., 41:2 (1990), 227–231 (1991) |
| 113. |
Agrachëv A. A., Gamkrelidze R. V., “Symplectic geometry for optimal control”, Nonlinear controllability and optimal control, Monogr. Textbooks Pure Appl. Math., 133, Dekker, New York, 1990, 263–277 (cited: 15) (cited: 13) |
|
| 1989 |
| 114. |
Agrachëv A. A., Gamkrelidze R. V., Sarychev A. V., “Local invariants of smooth control systems”, Acta Appl. Math., 14:3 (1989), 191–237 (cited: 21) (cited: 37) (cited: 24) (cited: 53) |
| 115. |
А. А. Аграчев, Р. В. Гамкрелидзе, “Квадратичные отображения и гладкие вектор-функции: эйлеровы характеристики множеств уровня”, Итоги науки и техн. Сер. Соврем. пробл. мат. Нов. достиж., 35, ВИНИТИ, М., 1989, 179–239 (цит.: 9) (цит.: 10) ; A. A. Agrachev, R. V. Gamkrelidze, “Quadratic mappings and smooth vector functions: Euler characteristics of level sets”, J. Soviet Math., 55:4 (1991), 1892–1928 (cited: 8) |
| 116. |
А. А. Аграчев, Р. В. Гамкрелидзе, “Квазиэкстремальность для управляемых систем”, Итоги науки и техн. Сер. Соврем. пробл. мат. Нов. достиж., 35, ВИНИТИ, М., 1989, 109–134 (цит.: 2) (цит.: 1) ; A. A. Agrachev, R. V. Gamkrelidze, “Quasi-extremality for controllable systems”, J. Soviet Math., 55:4 (1991), 1849–1864 (cited: 3) |
| 117. |
Р. В. Гамкрелидзе, А. А. Аграчев, С. А. Вахрамеев, “Обыкновенные дифференциальные уравнения на векторных расслоениях и хронологические исчисления”, Итоги науки и техн. Сер. Соврем. пробл. мат. Нов. достиж., 35, ВИНИТИ, М., 1989, 3–107 (цит.: 2) (цит.: 6) ; R. V. Gamkrelidze, A. A. Agrachev, S. A. Vakhrameev, “Ordinary differential equations on vector bundles, and chronological calculus”, J. Soviet Math., 55:4 (1991), 1777–1848 (cited: 2) |
| 118. |
А. А. Аграчев, “Еще одно условие условного экстремума”, УМН, 44:5(269) (1989), 153–154 (цит.: 1) (цит.: 1) (цит.: 2); A. A. Agrachev, “One more condition for a conditional extremum”, Russian Math. Surveys, 44:5 (1989), 189–190 (cited: 2) |
|
| 1988 |
| 119. |
Agrachëv A. A., “Homology of the intersections of real quadrics”, Dokl. Akad. Nauk SSSR, 299:5 (1988), 1033–1036 (cited: 13) (cited: 16) (cited: 2); Soviet Math. Dokl., 37:2 (1988), 493–496 |
| 120. |
Agrachëv A. A., Gamkrelidze R. V., “Calculation of the Euler characteristic of the intersections of real quadrics”, Dokl. Akad. Nauk SSSR, 299:1 (1988), 11–14 (cited: 2) (cited: 1) (cited: 5); Soviet Math. Dokl., 37:2 (1988), 297–300 |
| 121. |
А. А. Аграчев, “Топология квадратичных отображений и гессианы гладких отображений”, Итоги науки и техн. Сер. Алгебра. Топол. Геом., 26, ВИНИТИ, М., 1988, 85–124 (цит.: 20) (цит.: 25) ; A. A. Agrachev, “The topology of quadratic mappings and Hessians of smooth mappings”, J. Soviet Math., 49:3 (1990), 990–1013 (cited: 23) |
| 122. |
А. А. Аграчев, “Квадратичные отображения в геометрической теории управления”, Итоги науки и техн. Сер. Пробл. геом., 20, ВИНИТИ, М., 1988, 111–205 (цит.: 4) (цит.: 1); A. A. Agrachev, “Quadratic mappings in geometric control theory”, J. Soviet Math., 51:6 (1990), 2667–2734 (cited: 13) |
|
| 1987 |
| 123. |
Agrachëv A. A., Sarychev A. V., “Filtrations of a Lie algebra of vector fields and the nilpotent approximation of controllable systems”, Dokl. Akad. Nauk SSSR, 295:4 (1987), 777–781 (cited: 9) (cited: 15) (cited: 14); Soviet Math. Dokl., 36:1 (1988), 104–108 |
|
| 1986 |
| 124. |
Agrachëv A. A., Gamkrelidze R. V., “Morse and Maslov indices for the extremals of controllable systems”, Dokl. Akad. Nauk SSSR, 287:3 (1986), 521–524 (cited: 2) |
| 125. |
А. А. Аграчев, С. А. Вахрамеев, “Линейные по управлению системы постоянного ранга и условия релейности экстремальных управлений”, УМН, 41:6(252) (1986), 163–164 (цит.: 1) (цит.: 1) (цит.: 1); A. A. Agrachev, S. A. Vakhrameev, “Linearly controlled systems of constant rank and relay conditions for extreme control”, Russian Math. Surveys, 41:6 (1986), 199–200 (cited: 1) (cited: 1) |
| 126. |
А. А. Аграчев, А. В. Сарычев, “О редукции гладкой линейной по управлению системы”, Матем. сб., 130(172):1(5) (1986), 18–34 (цит.: 7) (цит.: 1) ; A. A. Agrachev, A. V. Sarychev, “On reduction of a smooth system linear in the control”, Math. USSR-Sb., 58:1 (1987), 15–30 (cited: 8) |
|
| 1985 |
| 127. |
Agrachëv A. A., Gamkrelidze R. V., “The index of extremality and quasiextremal controls”, Dokl. Akad. Nauk SSSR, 284:4 (1985), 777–781 (cited: 3) (cited: 4) (cited: 3) |
|
| 1984 |
| 128. |
Agrachëv A. A., Vakhrameev S. A., “Nonlinear control systems of constant rank and bang-bang conditions for extremal controls”, Dokl. Akad. Nauk SSSR, 279:2 (1984), 265–269 (cited: 1) (cited: 1) (cited: 2) |
|
| 1983 |
| 129. |
Agrachëv A. A., Sarychev A. V., “The control of rotation for an asymmetric rigid body”, Problems Control Inform. Theory/Problemy Upravlen. Teor. Inform., 12:5 (1983), 335–347 (cited: 1) |
| 130. |
А. А. Аграчев, С. А. Вахрамеев, Р. В. Гамкрелидзе, “Дифференциально-геометрические и теоретико-групповые методы в теории оптимального управления”, Итоги науки и техн. Сер. Пробл. геом., 14, ВИНИТИ, М., 1983, 3–56 (цит.: 4) (цит.: 1) ; A. A. Agrachev, S. A. Vakhrameev, R. V. Gamkrelidze, “Differential geometric and group theoretic methods in optimal control theory”, J. Soviet Math., 28:2 (1985), 145–182 |
|
| 1981 |
| 131. |
А. А. Аграчев, С. А. Вахрамеев, “Хронологические ряды и теорема Коши–Ковалевской”, Итоги науки и техн. Сер. Пробл. геом., 12, ВИНИТИ, М., 1981, 165–189 (цит.: 1) (цит.: 1) ; A. A. Agrachev, S. A. Vakhrameev, “Chronological series and the Cauchy–Kovalevskaya theorem”, J. Soviet Math., 21:2 (1983), 231–250 |
|
| 1980 |
| 132. |
А. А. Аграчев, Р. В. Гамкрелидзе, “Хронологические алгебры и нестационарные векторные поля”, Итоги науки и техн. Сер. Пробл. геом., 11, ВИНИТИ, М., 1980, 135–176 (цит.: 4) (цит.: 21) ; A. A. Agrachev, R. V. Gamkrelidze, “Chronological algebras and nonstationary vector fields”, J. Soviet Math., 17:1 (1981), 1650–1675 (cited: 32) |
|
| 1978 |
| 133. |
А. А. Аграчев, Р. В. Гамкрелидзе, “Экспоненциальное представление потоков и хронологическое исчисление”, Матем. сб., 107(149):4(12) (1978), 467–532 (цит.: 56) (цит.: 24) (цит.: 17); A. A. Agrachev, R. V. Gamkrelidze, “The exponential representation of flows and the chronological calculus”, Math. USSR-Sb., 35:6 (1979), 727–785 (cited: 17) (cited: 61) |
|
| 1977 |
| 134. |
А. А. Аграчев, “Необходимое условие оптимальности второго порядка в общем нелинейном случае”, Матем. сб., 102(144):4 (1977), 551–568 (цит.: 11) (цит.: 2) (цит.: 1); A. A. Agrachev, “A second-order necessary condition for optimality in the general nonlinear case”, Math. USSR-Sb., 31:4 (1977), 493–506 (cited: 1) (cited: 3) |
|
| 1976 |
| 135. |
А. А. Аграчев, Р. В. Гамкрелидзе, “Принцип оптимальности второго порядка для задачи быстродействия”, Матем. сб., 100(142):4(8) (1976), 610–643 (цит.: 27) (цит.: 7) (цит.: 10); A. A. Agrachev, R. V. Gamkrelidze, “A second order optimality principle for a time-optimal problem”, Math. USSR-Sb., 29:4 (1976), 547–576 (cited: 10) (cited: 14) |
|
| 1974 |
| 136. |
А. А. Аграчев, “О суперпозициях непрерывных функций”, Матем. заметки, 16:4 (1974), 517–522 ; A. A. Agrachev, “On superpositions of continuous functions”, Math. Notes, 16:4 (1974), 897–900 |
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