The complete list of publications please see in
Curriculum Vitae (PDF file)

*
(with A. Mashtakov),
Superintegrability of Sub-Riemannian Problems on Unimodular 3D Lie Groups,
*,
submitted, arXiv:1405.1716v1 [math.OC] 7 May 2014.
(PDF file)

*
Sub-Riemannian geodesics on the free Carnot group with the growth vector (2,3,5,8),
*,
submitted, arXiv:1404.7752v1 [math.OC] 30 Apr 2014.
(PDF file)

*
(with U. Boscain,
R. Duits, F. Rossi)
Association fields via cuspless sub-Riemannian geodesics in SE(2),
*,
J Math Imaging Vis,
June 2014, Volume 49, Issue 2, pp 384--417.
(PDF file)

*
(with U. Boscain,
R. Duits, F. Rossi)
Optimal control for reconstruction of curves without cusps,
*,
ESAIM: Control, Optimisation and Calculus of Variations, accepted,
\texttt{arXiv:1203.3089v1 [math.OC] 14 Mar 2012}
(PDF file)

*(with Yasir Awais Butt, Aamer
Iqbal Bhatti), Parametrization of Extremal Trajectories in
Sub-Riemannian Problem on Group of Motions of Pseudo
Euclidean Plane
*,
Journal of Dynamical and Control Systems, Vol. 20 (2014), No. 3 (July), in print.
arXiv:submit/0695903 [math.OC] 6 May 2013.
(PDF file)

*Integrability of free nilpotent sub-Riemannian structure with the growth vector (2,3,5,8)*,
A talk at the seminar of Prof. M.I.Zelikin
(Moscow University, April 17 2013)
(PDF file)

*(with E.Sachkova), Exponential mapping in Euler's elastic problem*,
Journal of Dynamical and Control Systems, Vol. 20 (2014), in print.
arXiv:1303.1746v1 [math.OC] 7 Mar 2013.
(PDF file)

*(with A.Ardentov), Conjugate points in nilpotent sub-Riemannian problem on the Engel group*,
Journal of Mathematical Sciences,
(2013), to appear.
arXiv:1209.2865v1 [math.OC] 13 Sep 2012.
(PDF file)

*Image inpainting, neurogeometry of vision, and sub-Riemannian geometry*,
A talk at the seminar of Computer Science department of Moscow State University
(November 26 2012)
(PDF file)

*Low-dimensional left-invariant sub-Riemannian
problems*,
A talk at the conference "Geometric control and sub-Riemannian geometry"
dedicated to 60-th birthday of A.A.Agrachev
(Cortona, Italy, May 21–25 2012)
(PDF file, 9 Mb)

*Closed Euler elasticae*,
Proceedings of the Steklov Institute of Mathematics,
V. 278 (2012), 218-–232
(PDF file)

*
(with A.Ardentov, A.Mashtakov) Inpainting
via sub-Riemannian minimizers
on the group of rototranslations*,
Numer. Math. Theor. Meth. Appl.,
Vol. 6, No. 1, pp. 95-115.
(PDF file)

*Sub-Riemannian problem on the group of motions of a plane*,
A talk at the Control Theory Seminar
(University of Rouen, November 18, 2010)
(PDF file, 22 Mb)

*Stability of Euler elasticae centered at verices or inflection points*,
Proceedings of the Steklov Institute of Mathematics}, V. 271 (2010), 187--203.
(PDF file, 5 Mb)

*Symmetries and Maxwell strata in the plate-ball problem*,
Sbornik: Mathematics, V. 201 (2010), N 7, 1029--1091.
(PDF file)

*Cut locus in sub-Riemannian problem on the group of motions of a plane*,
A talk at the International conference
on Mathematical Control Theory and Mechanics
(Suzdal', July 3 -- 7, 2009)
(PDF file, 7 Mb)
(rar archive, 3 Mb)

*
Cut locus and optimal synthesis in the sub-Riemannian problem on the group of motions of a
plane*, ESAIM: COCV, 17 (2011), 293--321
(available also at arXiv:0903.0727 [math.OC])
(PDF file)

*
Conjugate and cut time in the sub-Riemannian problem on the group of motions of a
plane*, ESAIM: COCV, 16 (2010), 1018--1039, (available also at
arXiv:0903.0727 [math.OC])
(PDF file)

(with I. Moiseev)
*Maxwell strata in sub-Riemannian problem on the group of motions of a plane*,
ESAIM: COCV, 16 (2010), 380--399, (available also at arXiv:0807.4731v1, 29 July 2008).
(PDF file)

*Euler's elastic problem*, A talk in University Milano Bicocca
(January 20, 2009)
(PDF file)

(with A. Ardentov)
*Solution of Euler's elastic problem* (in Russian),
Avtomatika i Telemekhanika, 2009, No. 4.
(PDF file)
English translation appears in Automation and remote control.

*Conjugate points in Euler's elastic problem*,
Journal of Dynamical and Control Systems, 2008 Vol. 14 (2008), No. 3 (July), 409--439.
(PDF file)

*Maxwell strata in Euler's elastic problem*,
Journal of Dynamical and Control Systems, Vol. 14 (2008), No. 2 (April), 169--234.
(PDF file)

*Control Theory
on Lie Groups*,
Journal Math. Sci.,
Vol. 156, No. 3, 2009, 381-439.
(English, PDF file)
(Russian, PDF file)

*Optimality of Euler's elasticae*,
Doklady Mathematics, Vol. 76 (2007), No. 3, 817--819.
(PDF file)

*Controlability and symmetries of invariant systems on Lie groups and homogeneous spaces*,
in Russian,
Fizmatlit Publishers, 2007 (242 pages).
(PDF file)

*Complete description of the Maxwell strata in the generalized Dido problem*,
Sbornik: Mathematics, 197 (2006), 6: 901--950.
(PDF file)

*The Maxwell set in the generalized Dido problem*,
Sbornik: Mathematics, 197 (2006), 4: 595--621.
(PDF file)

*Discrete symmetries
in generalized Dido's problem*,
Sbornik: Mathematics, 197 (2006), 2: 235--257.
(PDF file)

*Geometric Control Theory* (with A.A. Agrachev), in Russian,
Fizmatlit Publishers, 2004.
(PDF file)

*Control Theory from the Geometric Viewpoint* (with A.A. Agrachev),
Preprint SISSA 77/2002/M, November 2002,
SISSA, Trieste, Italy, published in Springer-Verlag, 2004.
(PDF file)

*Symmetries of Flat Rank Two Distributions and
Sub-Riemannian Structures*,
Transactions of the American Mathematical Society,
vol. 356 (2004), pp. 457-494.
(PDF file)

*Exponential mapping in the generalized Dido problem* (in Russian),
Matem. Sbornik,
vol. 194 (2003), No. 9, pp. 63-90.
(PDF file)

*Geometric meaning of invariants in the generalized Dido problem* (in Russian),
with E. F. Sachkova,
Proceedings of the University of Pereslavl,
2004.
(ps file)

*Optimal control problem
for a nonlinear driftless 5-dimensional system with 2 inputs* (with A. Agrachev),
Proceedings of 5th IFAC Symposium NOLCOS 2001, St. Petersburg, July 2001.
(ps file)

*Classification of controllable systems on low-dimensional solvable Lie groups
*,
Journal of Dynamical and Control Systems,
** 6 ** (2000), 2: 159--217.
(ps file)

*An Intrinsic Approach to the Control of Rolling Bodies* (with A. Agrachev),
Proceedings of the 38-th
IEEE Conference on Decision and Control, Phoenix, Arizona, USA, December
7--10, 1999, vol.~1, 431--435
(ps file)

*Controllability of Invariant Systems on Lie Groups and Homogeneous
Spaces,*
Controllability of Invariant Systems on Lie Groups
and Homogeneous Spaces,
J. Math. Sci.,
v. 100, No. 4, 2000, 2355--2427.
(ps file)

*On Invariant Orthants of Bilinear Systems*,
Journal of Dynamical and Control Systems, ** 4 ** (1998), 1: 137--147.
(ps file)

*On Positive Orthant Controllability of Bilinear Systems in Small Codimensions*,
SIAM Journ. Control and Optimization, ** 35** (1997), 1: 29--35.

*Controllability of Right-Invariant Systems on Solvable Lie Groups*,
Journal of Dynamical and Control Systems, **3 **(1997), 4: 531--564.
(ps file)

*
Controllability of Hypersurface and Solvable Invariant Systems*,
Journal of Dynamical and Control Systems, **2 **(1996), 1: 55--67.
(ps file)

*Positive Orthant Controllability of Single-input
Bilinear Systems,*
Mat. zametki, **85 **(1995), 3: 419--424
(in Russian, translated into English in Mathematical Notes).

*Positive Orthant Controllability of 2-dimensional and 3-dimensional
Bilinear Systems,*
Differentcialnije Uravnenija, (1993), 2:
361--363 (in Russian, translated into English in Differential
Equations).

*Invariant Domains of 3-dimensional Bilinear Systems,*
Vestnik Moskovskogo
Universiteta, Ser. Math. Mech.,
(1991), 4: 23--26
(in Russian,
translated into English in Moscow University Mathematics Bulletin).

*Controllability of 3-dimensional Bilinear Systems, *
Vestnik Moskovskogo
Universiteta, Ser. Math. Mech.,
(1991), 3: 26--30
(in Russian,
translated into English in Moscow University Mathematics Bulletin).

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