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Andrei Agrachev
Articles in Scholarly Journals [Incomplete List]
On finite-dimensional projections of distributions for solutions of randomly forced 2D Navier–Stokes equations
Annales de l'Institut Henri Poincare (B) Probability and Statistics, vol. 43, no. 4, pp. 399–415, 2007
The curvature and hyperbolicity of Hamiltonian systems
Proceedings of the Steklov Institute of Mathematics, vol. 256, no. 1, pp. 26–46, 2007
Controllability of 2D Euler and Navier-Stokes Equations by Degenerate Forcing
Communications in Mathematical Physics, vol. 265, no. 3, pp. 673–697, 2006
Vector fields on n-foliated 2n-dimensional manifolds
Journal of Mathematical Sciences, vol. 135, no. 4, pp. 3093–3108, 2006
An estimation of the controllability time for single-input systems on compact Lie Groups
Control, Optimisation and Calculus of Variations, vol. 12, no. 3, pp. 409–441, 2006
The Pontryagin Maximum Principle 50 years later
Proceedings of the Steklov Institute of Mathematics, vol. 253, no. S1, pp. S4–S12, 2006
Experimental and modeling studies of desensitization of P2X3 receptors
Molecular Pharmacology, 2006
Navier?Stokes Equations: Controllability by Means of Low Modes Forcing
Journal of Mathematical Fluid Mechanics, vol. 7, no. 1, pp. 108–152, 2005
Rigid Carnot Algebras: A Classification
Journal of Dynamical and Control Systems, vol. 11, no. 4, pp. 449–494, 2005
On Curvatures and Focal Points of Distributions of Dynamical Lagrangian Distributions and their Reductions by First Integrals
Journal of Dynamical and Control Systems, vol. 11, no. 3, pp. 297–327, 2005
On the Local Structure of Optimal Trajectories in R3
SIAM Journal on Control and Optimization, vol. 42, no. 2, p. 513, 2003
Electronic Research Announcements of the American Mathematical Society, vol. 09, no. 14, pp. 111–121, 2003
Strong Optimality for a Bang-Bang Trajectory
SIAM Journal on Control and Optimization, vol. 41, no. 4, p. 991, 2002
Journal of Dynamical and Control Systems, vol. 8, no. 1, pp. 93–140, 2002
Journal of Dynamical and Control Systems, vol. 8, no. 2, pp. 167–215, 2002
On the subanalyticity of Carnot–Caratheodory distances
Annales de l'Institut Henri Poincare (C) Non Linear Analysis, vol. 18, no. 3, pp. 359–382, 2001
Lie-Algebraic Stability Criteria for Switched Systems
SIAM Journal on Control and Optimization, vol. 40, no. 1, p. 253, 2001
Journal of Dynamical and Control Systems, vol. 6, no. 3, pp. 365–395, 2000
On stability of generic subriemannian caustic in the three-space
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, vol. 330, no. 6, pp. 465–470, 2000
Sub-Riemannian Metrics: Minimality of Abnormal Geodesics versus Subanalyticity
Control, Optimisation and Calculus of Variations, vol. 4, pp. 377–403, 1999
Acta Applicandae Mathematicae, vol. 57, no. 3, pp. 287–338, 1999
An invariant second variation in optimal control
International Journal of Control, vol. 71, no. 5, pp. 689–715, 1998
Journal of Dynamical and Control Systems, vol. 4, no. 4, pp. 583–604, 1998
Sub-Riemannian sphere in Martinet flat case
Control, Optimisation and Calculus of Variations, vol. 2, pp. 377–448, 1997
Feedback-invariant optimal control theory and differential geometry—I. Regular extremals
Journal of Dynamical and Control Systems, vol. 3, no. 3, pp. 343–389, 1997
Journal of Dynamical and Control Systems, vol. 3, no. 4, pp. 449–469, 1997
Exponential mappings for contact sub-Riemannian structures
Journal of Dynamical and Control Systems, vol. 2, no. 3, pp. 321–358, 1996
On regularity properties of extremal controls
Journal of Dynamical and Control Systems, vol. 1, no. 3, pp. 319–324, 1995
Strong minimality of abnormal geodesics for 2-distributions
Journal of Dynamical and Control Systems, vol. 1, no. 2, pp. 139–176, 1995
Volterra series and permutation groups
Journal of Mathematical Sciences, vol. 71, no. 3, pp. 2409–2433, 1994
Local controllability and semigroups of diffeomorphisms
Acta Applicandae Mathematicae, vol. 32, no. 1, pp. 1–57, 1993
Local controllability for families of diffeomorphisms
Systems & Control Letters, vol. 20, no. 1, pp. 67–76, 1993
Quadratic maps and smooth vector-valued functions: Euler characteristics of level sets
Journal of Soviet Mathematics, vol. 55, no. 4, pp. 1892–1928, 1991
Quasi-extremality for control systems
Journal of Soviet Mathematics, vol. 55, no. 4, pp. 1849–1864, 1991
Local invariants of smooth control systems
Acta Applicandae Mathematicae, vol. 14, no. 3, pp. 191–237, 1989
Differential-geometric and group-theoretical methods in optimal control theory
Journal of Soviet Mathematics, vol. 28, no. 2, pp. 145–182, 1985
Chronological series and the Cauchy-Kowalevski theorem
Journal of Soviet Mathematics, vol. 21, no. 2, pp. 231–250, 1983
Chronological algebras and nonstationary vector fields
Journal of Soviet Mathematics, vol. 17, no. 1, pp. 1650–1675, 1981