Andrei Agrachev

Articles in Scholarly Journals [Incomplete List]

  1. 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
  2. The curvature and hyperbolicity of Hamiltonian systems
    Proceedings of the Steklov Institute of Mathematics, vol. 256, no. 1, pp. 26–46, 2007
  3. Controllability of 2D Euler and Navier-Stokes Equations by Degenerate Forcing
    Communications in Mathematical Physics, vol. 265, no. 3, pp. 673–697, 2006
  4. Vector fields on n-foliated 2n-dimensional manifolds
    Journal of Mathematical Sciences, vol. 135, no. 4, pp. 3093–3108, 2006
  5. 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
  6. The Pontryagin Maximum Principle 50 years later
    Proceedings of the Steklov Institute of Mathematics, vol. 253, no. S1, pp. S4–S12, 2006
  7. Experimental and modeling studies of desensitization of P2X3 receptors
    Molecular Pharmacology, 2006
  8. Navier?Stokes Equations: Controllability by Means of Low Modes Forcing
    Journal of Mathematical Fluid Mechanics, vol. 7, no. 1, pp. 108–152, 2005
  9. Rigid Carnot Algebras: A Classification
    Journal of Dynamical and Control Systems, vol. 11, no. 4, pp. 449–494, 2005
  10. 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
  11. On the Local Structure of Optimal Trajectories in R3
    SIAM Journal on Control and Optimization, vol. 42, no. 2, p. 513, 2003
  12. Electronic Research Announcements of the American Mathematical Society, vol. 09, no. 14, pp. 111–121, 2003
  13. Strong Optimality for a Bang-Bang Trajectory
    SIAM Journal on Control and Optimization, vol. 41, no. 4, p. 991, 2002
  14. Journal of Dynamical and Control Systems, vol. 8, no. 1, pp. 93–140, 2002
  15. Journal of Dynamical and Control Systems, vol. 8, no. 2, pp. 167–215, 2002
  16. 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
  17. Lie-Algebraic Stability Criteria for Switched Systems
    SIAM Journal on Control and Optimization, vol. 40, no. 1, p. 253, 2001
  18. Journal of Dynamical and Control Systems, vol. 6, no. 3, pp. 365–395, 2000
  19. 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
  20. Sub-Riemannian Metrics: Minimality of Abnormal Geodesics versus Subanalyticity
    Control, Optimisation and Calculus of Variations, vol. 4, pp. 377–403, 1999
  21. Acta Applicandae Mathematicae, vol. 57, no. 3, pp. 287–338, 1999
  22. An invariant second variation in optimal control
    International Journal of Control, vol. 71, no. 5, pp. 689–715, 1998
  23. Journal of Dynamical and Control Systems, vol. 4, no. 4, pp. 583–604, 1998
  24. Sub-Riemannian sphere in Martinet flat case
    Control, Optimisation and Calculus of Variations, vol. 2, pp. 377–448, 1997
  25. 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
  26. Journal of Dynamical and Control Systems, vol. 3, no. 4, pp. 449–469, 1997
  27. Exponential mappings for contact sub-Riemannian structures
    Journal of Dynamical and Control Systems, vol. 2, no. 3, pp. 321–358, 1996
  28. On regularity properties of extremal controls
    Journal of Dynamical and Control Systems, vol. 1, no. 3, pp. 319–324, 1995
  29. Strong minimality of abnormal geodesics for 2-distributions
    Journal of Dynamical and Control Systems, vol. 1, no. 2, pp. 139–176, 1995
  30. Volterra series and permutation groups
    Journal of Mathematical Sciences, vol. 71, no. 3, pp. 2409–2433, 1994
  31. Local controllability and semigroups of diffeomorphisms
    Acta Applicandae Mathematicae, vol. 32, no. 1, pp. 1–57, 1993
  32. Local controllability for families of diffeomorphisms
    Systems & Control Letters, vol. 20, no. 1, pp. 67–76, 1993
  33. Quadratic maps and smooth vector-valued functions: Euler characteristics of level sets
    Journal of Soviet Mathematics, vol. 55, no. 4, pp. 1892–1928, 1991
  34. Quasi-extremality for control systems
    Journal of Soviet Mathematics, vol. 55, no. 4, pp. 1849–1864, 1991
  35. Local invariants of smooth control systems
    Acta Applicandae Mathematicae, vol. 14, no. 3, pp. 191–237, 1989
  36. Differential-geometric and group-theoretical methods in optimal control theory
    Journal of Soviet Mathematics, vol. 28, no. 2, pp. 145–182, 1985
  37. Chronological series and the Cauchy-Kowalevski theorem
    Journal of Soviet Mathematics, vol. 21, no. 2, pp. 231–250, 1983
  38. Chronological algebras and nonstationary vector fields
    Journal of Soviet Mathematics, vol. 17, no. 1, pp. 1650–1675, 1981