Persons: Agrachev, Andrei Alexandrovich

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Agrachev, Andrei Alexandrovich

Total publications:	144 (137)
in MathSciNet:	134 (130)
in zbMATH:	110 (108)
in Web of Science:	81 (78)
in Scopus:	98 (98)
Cited articles:	107
Citations:	2903
Presentations:	32

Number of views:
This page:	11351
Abstract pages:	25730
Full texts:	8091
References:	1199

Professor

Doctor of physico-mathematical sciences (1989)

Speciality:

01.01.02 (Differential equations, dynamical systems, and optimal control)

Birth date:

29.03.1952

E-mail:

Website:

https://people.sissa.it/~agrachev

Keywords:

geometric control theory, optimal control, symplectic geometry, singularities theory.

UDC:

514.7, 517.317, 517.5, 517.938, 517.977.1, 519.3, 517.9, 517.97, 517.977

Subject:

Mathematical control theory, sub-Riemannian geometry and and related topics in dynamical systems, geometry and topology.

Main publications:

Agrachev A. A., Gauthier J.-P., “On subanalyticity of Carnot–Caratheodory distances”, Annales de lInst. Henry Poincare – Analyse non lineaire, 18 (2001), 359–382
Agrachev A. A. Sarychev A. V., “Controllability of 2D Euler and Navier–Stokes equations by degenerate forcing”, Commun. Math. Phys., 265 (2006), 673–697
Agrachev A. A., “Well-posed infinite horizon variational problems on a compact manifold”, Proceed. Steklov Math. Inst., 268 (2010), 24–39
Agrachev A. A., Lerario A., “Systems of quadratic inequalities”, Proceedings of the London Math. Soc., 105 (2012), 622–660
Agrachev A. A., Barilari D., Rizzi L., “Curvature: A variational approach”, Memoirs of the American Math. Soc., 256 (2018), 1–116

https://www.mathnet.ru/eng/person17851

List of publications on Google Scholar

https://zbmath.org/authors/ai:agrachev.andrej-a

https://mathscinet.ams.org/mathscinet/MRAuthorID/190426

https://elibrary.ru/author_items.asp?authorid=3534

https://www.researchgate.net/profile/Andrei_Agrachev

Full list of publications:

scientific publications

by years

by types

by times cited

common list

		Citations (Crossref Cited-By Service + Math-Net.Ru)

Articles

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.
2.	Andrei Agrachev, Khazhgali Kozhasov, André Uschmajew, “Chebyshev polynomials and best rank-one approximation ratio”, SIAM J. Matrix Anal. Appl., 41:1 (2020), 308–331	8 ^[x]
3.	Andrei Agrachev, Ivan Beschastnyi, “Jacobi fields in optimal control: one-dimensional variations”, J. Dynamical and Control Systems, 26 (2020), 685–732	4 ^[x]
4.	A. Agrachev, A. Sarychev, “Control in the space of ensembles of points”, SIAM J. on Control and Optimization, 58 (2020), 1579–1596	11 ^[x]
5.	A. A. Agrachev, “Spectrum of the Second Variation”, Proc. Steklov Inst. Math., 304 (2019), 26–41
6.	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	4 ^[x]
7.	Andrei A. Agrachev, Carolina Biolo, “Switching in time-optimal problem with control in a ball”, SIAM J. Control Optim., 156:1 (2018), 183–200	7 ^[x]
8.	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	6 ^[x]
9.	Andrei A. Agrachev, Carolina Biolo, “Optimality of broken extremals”, J. Dyn. Control Syst., 25:2 (2018), 289–307	4 ^[x]
10.	Andrei Agrachev, Davide Barilari, Luca Rizzi, “Sub-Riemannian curvature in contact geometry”, J. Geom. Anal., 27:1 (2017), 366–408 , arXiv: 1505.04374	18 ^[x]
11.	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	6 ^[x]
12.	Andrey A. Agrachev, I. Yu. Beschastnyi, “Symplectic geometry of constrained optimization”, Regul. Chaotic Dyn., 22:6 (2017), 750–770	5 ^[x]
13.	Andrei A. Agrachev, Francesco Boarotto, Antonio Lerario, “Homotopically invisible singular curves”, Calc. Var. Partial Differential Equations, 56 (2017), 105 , 34 pp.	4 ^[x]
14.	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	1 ^[x]
15.	A. A. Agrachev, “Tangent hyperplanes to subriemannian balls”, J. Dyn. Control Syst., 22:4 (2016), 683–692	2 ^[x]
16.	Andrei Agrachev, Yuliy Baryshnikov, Andrey Sarychev, “Ensemble controllability by Lie algebraic methods”, ESAIM: COCV, 22:4 (2016), 921–938 , arXiv: 1603.07133	22 ^[x]
17.	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 ^[x]
18.	A. A. Agrachev, “Topics in sub-Riemannian geometry”, Russian Math. Surveys, 71:6 (2016), 989–1019
19.	Andrei Agrachev, Luca Rizzi, Pavel Silveira, “On conjugate times of LQ optimal control problems”, J. Dyn. Control Syst., 21:4 (2015), 625–641	7 ^[x]
20.	A. A. Agrachev, “Quadratic cohomology”, Arnold Math. J., 1:1 (2015), 37–58 , arXiv: 1301.2059	2 ^[x]
21.	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	10 ^[x]
22.	A. A. Agrachev, A. Gentile, A. Lerario, “Geodesics and horizontal-path spaces in Carnot Groups”, Geom. Topol., 19:3 (2015), 1569–1630	10 ^[x]
23.	A. A. Agrachev, P. Lee, “Generalized Ricci curvature bounds for three dimensional contact subriemannian manifolds”, Math. Ann., 360:1-2 (2014), 209–253	21 ^[x]
24.	A. Agrachev, “Some open problems”, Geometric Control Theory and Sub-Riemannian Geometry, Springer INDAM Series, 5, 2014, 1–13	20 ^[x]
25.	A. Agrachev, D. Barilari, U. Boscain, “On the Hausdorff volume in sub-Riemannian geometry”, Calc. Var. Partial Differential Equations, 43 (2012), 355–388	38 ^[x]
26.	A. Agrachev, D. Barilari, “Sub-Riemannian structures in 3D Lie groups”, J. Dyn. Control Syst., 18 (2012), 21–44	55 ^[x]
27.	A. A. Agrachev, Yu. Baryshnikov, D. Liberzon, “On robust Lie-algebraic stability conditions for switched linear systems”, Systems Control Lett., 61 (2012), 347–353	33 ^[x]
28.	A. Agrachev, L. Lerario, “Systems of quadratic inequalities”, Proc. Lond. Math. Soc. (3), 105:3 (2012), 622–660	15 ^[x]
29.	A. A. Agrachev, R. V. Gamkrelidze, “The geometry of maximum principle”, Proc. Steklov Inst. Math., 273 (2011), 1–22
30.	A. A. Agrachev, “On the space of symmetric operators with multiple ground states”, Funct. Anal. Appl., 45:4 (2011), 241–251
31.	A. A. Agrachev, “Well-posed infinite horizon variational problems on a compact manifold”, Proc. Steklov Inst. Math., 268 (2010), 17–31
32.	A. A. Agrachev, “Invariant Lagrangian submanifolds of dissipative systems”, Russian Math. Surveys, 65:5 (2010), 977–978
33.	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	6 ^[x]
34.	A. A. Agrachev, M. Caponigro, “Dynamics control by a time-varying feedback”, J. Dyn. Control Syst., 16:2 (2010), 149–162	3 ^[x]
35.	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	27 ^[x]
36.	A. A. Agrachev, F. C. Chittaro, “Smooth optimal synthesis for infinite horizon variational problems”, ESAIM Control Optim. Calc. Var., 15:1 (2009), 173–188	1 ^[x]
37.	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	90 ^[x]
38.	A. A. Agrachev, “Any sub-Riemannian metric has points of smoothness”, Russian Math. Dokl., 79:1 (2009), 1–3
39.	A. Agrachev, P. Lee, “Optimal transportation under nonholonomic constraints”, Trans. Amer. Math. Soc., 361:11 (2009), 6019–6047	41 ^[x]
40.	A. A. Agrachev, M. Caponigro, “Controllability on the group of diffeomorphisms”, Ann. Inst. H. Poincaré Anal. Non Linéaire, 26:6 (2009), 2503–2509	13 ^[x]
41.	A. A. Agrachev, F. C. Chittaro, “Extremals flows and infinite horizon optimization”, Mathematical control theory and finance, Springer, Berlin, 2008, 1–13
42.	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	1 ^[x]
43.	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	13 ^[x]
44.	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	25 ^[x]
45.	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	55 ^[x]
46.	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
47.	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)	11 ^[x]
48.	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	20 ^[x]
49.	A. A. Agrachev, “Rolling Balls and Octonions”, Proc. Steklov Inst. Math., 258 (2007), 13–22
50.	A. A. Agrachev, “The Curvature and Hyperbolicity of Hamiltonian Systems”, Proc. Steklov Inst. Math., 256 (2007), 26–46
51.	A. Agrachev, “Optimal control of measures”, Bull. Georgian Natl. Acad. Sci. (N.S.), 1(175):4 (2007), 5–11
52.	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	38 ^[x]
53.	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)	19 ^[x]
54.	A. A. Agrachev, R. V. Gamkrelidze, “The Pontryagin Maximum Principle 50 years later”, Proc. Inst. Math. Mech., 253, suppl. 1 (2006), S4–S12
55.	Agrachev A., Marigo A., “Rigid Carnot algebras: a classification”, J. Dyn. Control Syst., 11:4 (2005), 449–494	11 ^[x]
56.	Agrachëv A. A., Shcherbakova N. N., “Hyperbolicity of Hamiltonian systems of negative curvature”, Dokl. Akad. Nauk, 400:3 (2005), 295–298	1 ^[x]
57.	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	8 ^[x]
58.	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	64 ^[x]
59.	Agrachev A. A., Gamkrelidze R. V., “Vector fields on $n$-foliated $2n$-dimensional manifolds”, J. Math. Sci. (N. Y.), 135:4 (2006), 3093–3108
60.	Agrachëv A. A., Sarychev A. V., “Controllability for the Navier-Stokes equation with small control”, Dokl. Akad. Nauk, 394:6 (2004), 727–730
61.	Agrachev A., Marigo A., “Nonholonomic tangent spaces: intrinsic construction and rigid dimensions”, Electron. Res. Announc. Amer. Math. Soc., 9 (2003), 111–120 (electronic)	22 ^[x]
62.	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)	36 ^[x]
63.	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)
64.	Agrachev A. A., Stefani G., Zezza P., “Strong optimality for a bang-bang trajectory”, SIAM J. Control Optim., 41:4 (2002), 991–1014 (electronic)	92 ^[x]
65.	Agrachev A., Zelenko I., “Geometry of Jacobi curves. II”, J. Dynam. Control Systems, 8:2 (2002), 167–215	23 ^[x]
66.	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	1 ^[x]
67.	Agrachev A. A., Zelenko I., “Geometry of Jacobi curves. I”, J. Dynam. Control Systems, 8:1 (2002), 93–140	40 ^[x]
68.	Agrachëv A. A., “A “Gauss-Bonnet formula” for contact sub-Riemannian manifolds”, Dokl. Akad. Nauk, 381:5 (2001), 583–585
69.	Agrachev A. A., Liberzon D., “Lie-algebraic stability criteria for switched systems”, SIAM J. Control Optim., 40:1 (2001), 253–269 (electronic)	258 ^[x]
70.	Agrachev A., Gauthier J.-P., “On the subanalyticity of Carnot-Caratheodory distances”, Ann. Inst. H. Poincaré Anal. Non Linéaire, 18:3 (2001), 359–382	24 ^[x]
71.	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	3 ^[x]
72.	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
73.	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	14 ^[x]
74.	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	2 ^[x]
75.	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	10 ^[x]
76.	Agrachev A. A., Gauthier J.-P. A., “On the Dido problem and plane isoperimetric problems”, Acta Appl. Math., 57:3 (1999), 287–338	14 ^[x]
77.	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)	17 ^[x]
78.	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	11 ^[x]
79.	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
80.	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)
81.	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	22 ^[x]
82.	Agrachev A., Stefani G., Zezza P., “An invariant second variation in optimal control”, Internat. J. Control, 71:5 (1998), 689–715	24 ^[x]
83.	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
84.	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
85.	Agrachev A. A., Sarychev A. V., “On abnormal extremals for Lagrange variational problems”, J. Math. Systems Estim. Control, 8:1 (1998), 87–118
86.	A. A. Agrachev, P. Zezza, G. Stefani, “Strong minima in optimal control”, Proc. Steklov Inst. Math., 220 (1998), 4–22
87.	A. A. Agrachev, E. F. Mishchenko, “Introduction. On works of R. V. Gamkrelidze”, Proc. Steklov Inst. Math., 220 (1998), 1–3
88.	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)	66 ^[x]
89.	Agrachev A. A., Pallaschke D., Scholtes S., “On Morse theory for piecewise smooth functions”, J. Dynam. Control Systems, 3:4 (1997), 449–469
90.	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	60 ^[x]
91.	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	67 ^[x]
92.	Agrachev A. A., “Exponential mappings for contact sub-Riemannian structures”, J. Dynam. Control Systems, 2:3 (1996), 321–358	64 ^[x]
93.	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
94.	Agrachev A. A., Sarychev A. V., “On abnormal extremals for Lagrange variational problems”, J. Math. Systems Estim. Control, 5:1 (1995) , 31 pp. (electronic)
95.	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	8 ^[x]
96.	Agrachëv A. A., “On regularity properties of extremal controls”, J. Dynam. Control Systems, 1:3 (1995), 319–324	6 ^[x]
97.	Agrachëv A. A., Sarychev A. V., “Strong minimality of abnormal geodesics for 2-distributions”, J. Dynam. Control Systems, 1:2 (1995), 139–176	22 ^[x]
98.	A. A. Agrachev, R. V. Gamkrelidze, “On the orbits of groups of diffeomorphisms and flows”, Proc. Steklov Inst. Math., 209 (1995), 1–10
99.	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
100.	Agrachëv A. A., Gamkrelidze R. V., “Local controllability and semigroups of diffeomorphisms”, Acta Appl. Math., 32:1 (1993), 1–57	24 ^[x]
101.	Agrachëv A. A., Gamkrelidze R. V., “Local controllability for families of diffeomorphisms”, Systems Control Lett., 20:1 (1993), 67–76	6 ^[x]
102.	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
103.	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
104.	A. A. Agrachev, R. V. Gamkrelidze, “Volterra series and permutation groups”, J. Math. Sci., 71:3 (1994), 2409–2433
105.	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
106.	A. A. Agrachev, R. V. Gamkrelidze, “Symplectic geometry and conditions necessary conditions for optimality”, Math. USSR-Sb., 72:1 (1992), 29–45
107.	Soviet Math. Dokl., 41:2 (1990), 227–231 (1991)
108.	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
109.	Agrachëv A. A., Gamkrelidze R. V., Sarychev A. V., “Local invariants of smooth control systems”, Acta Appl. Math., 14:3 (1989), 191–237	70 ^[x]
110.	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
111.	A. A. Agrachev, R. V. Gamkrelidze, “Quasi-extremality for controllable systems”, J. Soviet Math., 55:4 (1991), 1849–1864
112.	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
113.	A. A. Agrachev, “One more condition for a conditional extremum”, Russian Math. Surveys, 44:5 (1989), 189–190
114.	Soviet Math. Dokl., 37:2 (1988), 493–496
115.	Soviet Math. Dokl., 37:2 (1988), 297–300
116.	A. A. Agrachev, “The topology of quadratic mappings and Hessians of smooth mappings”, J. Soviet Math., 49:3 (1990), 990–1013
117.	A. A. Agrachev, “Quadratic mappings in geometric control theory”, J. Soviet Math., 51:6 (1990), 2667–2734
118.	Soviet Math. Dokl., 36:1 (1988), 104–108
119.	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
120.	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
121.	A. A. Agrachev, A. V. Sarychev, “On reduction of a smooth system linear in the control”, Math. USSR-Sb., 58:1 (1987), 15–30
122.	Agrachëv A. A., Gamkrelidze R. V., “The index of extremality and quasiextremal controls”, Dokl. Akad. Nauk SSSR, 284:4 (1985), 777–781	3 ^[x]
123.	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	1 ^[x]
124.	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
125.	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
126.	A. A. Agrachev, S. A. Vakhrameev, “Chronological series and the Cauchy–Kovalevskaya theorem”, J. Soviet Math., 21:2 (1983), 231–250
127.	A. A. Agrachev, R. V. Gamkrelidze, “Chronological algebras and nonstationary vector fields”, J. Soviet Math., 17:1 (1981), 1650–1675
128.	A. A. Agrachev, R. V. Gamkrelidze, “The exponential representation of flows and the chronological calculus”, Math. USSR-Sb., 35:6 (1979), 727–785
129.	A. A. Agrachev, “A second-order necessary condition for optimality in the general nonlinear case”, Math. USSR-Sb., 31:4 (1977), 493–506
130.	A. A. Agrachev, R. V. Gamkrelidze, “A second order optimality principle for a time-optimal problem”, Math. USSR-Sb., 29:4 (1976), 547–576
131.	A. A. Agrachev, “On superpositions of continuous functions”, Math. Notes, 16:4 (1974), 897–900
Books

132.	A. Agrachev, D. Barilari, U. Boscain, A comprehensive introduction to sub-Riemannian geometry, Cambridge University Press, 2020 , 763 pp.
133.	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
134.	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.	620 ^[x]
Preprints

135.	A. Agrachev, D. Barilari, U. Boscain, Introduction to Riemannian and sub-Riemannian geometry, http://hdl.handle.net/1963/5877, SISSA, Triest, Italiya, 2012 , 179 pp.
ArXiv

136.	A. Agrachev, Any sub-Riemannian Metric has Points of Smoothness, 2008 , arXiv: 0808.4059
137.	A. Agrachev, M. Caponigro, Families of vector fields which generate the group of diffeomorphisms, 2008 , arXiv: 0804.4403
Popular science or education materials

138.	A. A. Agrachev, “Optimalnoe upravlenie”, Matematicheskaya sostavlyayuschaya, 2-e izd., rassh. i dop., eds. N. N. Andreev, S. P. Konovalov, N. M. Panyunin, Matematicheskie etyudy, M., 2019, 26 https://book.etudes.ru/toc/swing/
Information matherials

139.	A. A. Agrachev, R. V. Gamkrelidze, E. S. Golod, A. B. Zhizhchenko, Yu. I. Zhuravlev, V. V. Kozlov, A. V. Mikhalev, A. V. Ovchinnikov, N. Kh. Rozov, A. L. Semenov, V. G. Chirskii, V. A. Shamolin, “Anniversary of Professor M. V. Shamolin”, Dynamical systems, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 134, VINITI, Moscow, 2017, 3–5
Personalia

140.	A. A. Agrachev, R. V. Gamkrelidze, V. V. Kozlov, Yu. I. Zhuravlev, A. V. Mikhalev, A. V. Ovchinnikov, D. O. Orlov, V. L. Popov, V. G. Romanov, A. L. Semenov, V. G. Chirskii, V. A. Shamolin, “To the 55th anniversary of Professor M. V. Shamolin”, Geometry, Mechanics, and Differential Equations, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 210, VINITI, Moscow, 2022, 3–5
141.	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
142.	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
143.	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
Miscellaneous

144.	Optimalnoe upravlenie i dinamicheskie sistemy, Sbornik statei. K 95-letiyu akademika Revaza Valerianovicha Gamkrelidze, Trudy MIAN, 321, ed. A. A. Agrachev, L. V. Lokutsievskii, A. V. Sarychev, Yu. L. Sachkov, MIAN, M., 2023 , 292 pp. ; ; ;

Presentations in Math-Net.Ru

1.	Asymptotic homology in sub-Riemannian geometry A. A. Agrachev International Conference “Differential Equations and Optimal Control” dedicated to the centenary of the birth of Academician Evgenii Frolovich Mishchenko June 7, 2022 12:35
2.	Dynamic planimetrics A. A. Agrachev Seminar "Optimal Control and Dynamical Systems" October 22, 2021 13:00
3.	Введение в субриманову геометрию. Лекция 3 из 3 A. A. Agrachev The 7th Summer School on Geometrical Methods in Mathematical Physics July 9, 2020 12:00
4.	Введение в субриманову геометрию. Лекция 2 из 3 A. A. Agrachev The 7th Summer School on Geometrical Methods in Mathematical Physics July 8, 2020 12:00
5.	Введение в субриманову геометрию. Лекция 1 из 3 A. A. Agrachev The 7th Summer School on Geometrical Methods in Mathematical Physics July 7, 2020 10:00
6.	Задача быстродействия с управлениями из шара. A. A. Agrachev Geometric Theory of Optimal Control April 1, 2020 16:45
7.	Soft construction of Floer-type homologies A. A. Agrachev International Conference "Classical Mechanics, Dynamical Systems and Mathematical Physics" on the occasion of V. V. Kozlov 70th birthday January 24, 2020 12:35
8.	Спектр второй вариации A. A. Agrachev Geometric Theory of Optimal Control April 10, 2019
9.	Кривизна и долговременное поведение диссипативных систем A. A. Agrachev Differential operators on singular spaces, algebraically integrable systems and quantization April 8, 2019 18:35
10.	Homotopically visible and invisible singular trajectories A. A. Agrachev International Conference "Optimal Control and Differential Games" dedicated to the 110th anniversary of L. S. Pontryagin December 12, 2018 12:25
11.	Fast oscillating control A. A. Agrachev Colloquium of Steklov Mathematical Institute of Russian Academy of Sciences April 5, 2018 16:00
12.	Optimal control and symplectic geometry A. A. Agrachev International Conference "Mathematical Theory of Optimal Control" dedicated to the 90th birthday of Academician R. V. Gamkrelidze June 1, 2017 10:45
13.	Volume geodesic distortion and Ricci curvature for extremals flows A. A. Agrachev International Conference "Geometric Analysis and Control Theory" December 9, 2016 09:30
14.	Geometry and control A. A. Agrachev Steklov Mathematical Institute Seminar May 19, 2016 16:00
15.	Curvature: a variational approach A. A. Agrachev Scientific session of the Steklov Mathematical Institute of RAS dedicated to the results of 2015 November 11, 2015 15:30
16.	Экстремали и их оптимальность. Лекция 4 A. A. Agrachev Summer school "Geometric Control Theory and Analysis on Metric Structures" July 29, 2014 09:00
17.	Экстремали и их оптимальность. Лекция 3 A. A. Agrachev Summer school "Geometric Control Theory and Analysis on Metric Structures" July 28, 2014 10:55
18.	Экстремали и их оптимальность. Лекция 2 A. A. Agrachev Summer school "Geometric Control Theory and Analysis on Metric Structures" July 27, 2014 09:00
19.	Экстремали и их оптимальность. Лекция 1 A. A. Agrachev Summer school "Geometric Control Theory and Analysis on Metric Structures" July 26, 2014 09:00
20.	Sub-Riemannian curvature A. A. Agrachev International Conference "Geometry Days in Novosibirsk, 2013" August 28, 2013 10:00
21.	О кривизне A. A. Agrachev Seminar "Optimal Control and Dynamical Systems" March 27, 2013 12:00
22.	Quadratic Cohomology A. A. Agrachev International conference "Analysis and Singularities" dedicated to the 75th anniversary of Vladimir Igorevich Arnold December 21, 2012 10:00
23.	О кривизне гладких задач оптимального управления A. A. Agrachev Conference "Differential Equations and Optimal Control", dedicated to the 90th anniversary of E. F. Mishchenko April 16, 2012 12:10
24.	Системы квадратных уравнений и 16-я проблема Гильберта: приглашение к исследованию A. A. Agrachev Homology and homotopy methods in geometry April 6, 2011 17:00
25.	Topology of square-law transformations A. A. Agrachev Riemann surfaces, Lie algebras and mathematical physics April 1, 2011 17:00
26.	Неголономная геометрия Andrei Agrachev Homology and homotopy methods in geometry October 13, 2010 17:00
27.	Динамика и кривизна A. A. Agrachev Meetings of the Moscow Mathematical Society October 12, 2010 18:30
28.	Потоки экстремалей и вариационные задачи с бесконечным горизонтом A. A. Agrachev Seminar "Optimal Control and Dynamical Systems" February 25, 2009 12:00
29.	Control of diffeomorphisms and densities A. A. Agrachev International Conference "Differential Equations and Topology" dedicated to the Centennial Anniversary of L. S. Pontryagin June 18, 2008 11:20
30.	Векторные распределения и их особые кривые A. A. Agrachev Seminar "Optimal Control and Dynamical Systems" April 16, 2008 12:00
31.	Nonholonomic geometry A. A. Agrachev Meetings of the Moscow Mathematical Society March 18, 2008
32.	Singular curves and invariants of geometric structures A. A. Agrachev International conference "Analysis and Singularities" dedicated to 70th anniversary of Vladimir Igorevich Arnold August 23, 2007 09:00

Books in Math-Net.Ru

Optimal Control and Dynamical Systems, Collected papers. On the occasion of the 95th birthday of Academician Revaz Valerianovich Gamkrelidze, Trudy Mat. Inst. Steklova, 321, ed. A. A. Agrachev, L. V. Lokutsievskiy, A. V. Sarychev, Yu. L. Sachkov, 2023, 292 с.
http://mi.mathnet.ru/book1935

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