Hélène Frankowska

Université Pierre et Marie Curie, France

Articles in Scholarly Journals [Incomplete List]

  1. Stochastic viability of convex sets☆
    Journal of Mathematical Analysis and Applications, vol. 333, no. 1, pp. 151–163, 2007
  2. Normality of the maximum principle for nonconvex constrained Bolza problems?
    Journal of Differential Equations, vol. 243, no. 2, pp. 256–269, 2007
  3. Interior sphere property of attainable sets and time optimal control problems
    Control, Optimisation and Calculus of Variations, vol. 12, no. 2, pp. 350–370, 2006
  4. A note on the value function for constrained control problems
    Systems & Control Letters, vol. 55, no. 1, pp. 21–26, 2006
  5. Invariant measure for a class of parabolic degenerate equations
    Nonlinear Differential Equations and Applications NoDEA, vol. 12, no. 4, pp. 481–501, 2006
  6. Lipschitzianity of optimal trajectories for the Bolza optimal control problem
    Calculus of Variations and Partial Differential Equations, vol. 27, no. 4, pp. 467–492, 2006
  7. Conditional visuo-motor learning and dimension reduction
    Cognitive Processing, vol. 7, no. 2, pp. 95–104, 2006
  8. Regularity of Solution Maps of Differential Inclusions Under State Constraints
    Set-Valued Analysis, vol. 15, no. 1, pp. 21–45, 2006
  9. On singularities of value function for Bolza optimal control problem
    Journal of Mathematical Analysis and Applications, vol. 306, no. 2, pp. 714–729, 2005
  10. A Connection Between the Maximum Principle and Dynamic Programming for Constrained Control Problems
    SIAM Journal on Control and Optimization, vol. 44, no. 2, p. 673, 2005
  11. Invariance of stochastic control systems with deterministic arguments
    Journal of Differential Equations, vol. 200, no. 1, pp. 18–52, 2004
  12. Autonomous Integral Functionals with Discontinuous Nonconvex Integrands: Lipschitz Regularity of Minimizers, DuBois--Reymond Necessary Conditions, and Hamilton--Jacobi Equations
    Applied Mathematics and Optimization, vol. 48, no. 1, pp. 39–66, 2003
  13. Filippov's and Filippov–Wazewski's Theorems on Closed Domains
    Journal of Differential Equations, vol. 161, no. 2, pp. 449–478, 2000
  14. Semicontinuous Solutions of Hamilton–Jacobi–Bellman Equations with Degenerate State Constraints
    Journal of Mathematical Analysis and Applications, vol. 251, no. 2, pp. 818–838, 2000
  15. Journal of Optimization Theory and Applications, vol. 104, no. 1, pp. 20–40, 2000
  16. Set-Valued Analysis, vol. 8, no. 1/2, pp. 127–148, 2000
  17. Set-Valued Analysis, vol. 8, no. 1/2, pp. 181–201, 2000
  18. Value functions for Bolza problems with discontinuous Lagrangians and Hamilton-Jacobi inequalities
    Control, Optimisation and Calculus of Variations, vol. 5, pp. 369–393, 2000
  19. Dissipative Control Systems and Disturbance Attenuation for Nonlinear H ∞ Problems
    Applied Mathematics and Optimization, vol. 40, no. 2, pp. 163–181, 1999
  20. Relaxation of Control Systems Under State Constraints
    SIAM Journal on Control and Optimization, vol. 37, no. 4, p. 1291, 1999
  21. Set-valued solutions to the Cauchy problem for hyperbolic systems of partial differential inclusions
    Nonlinear Differential Equations and Applications, vol. 4, no. 2, pp. 149–168, 1997
  22. Value Function and Optimality Condition for Semilinear Control Problems. II: Parabolic Case
    Applied Mathematics and Optimization, vol. 33, no. 1, pp. 1–33, 1996
  23. The Viability Kernel Algorithm for Computing Value Functions of Infinite Horizon Optimal Control Problems
    Journal of Mathematical Analysis and Applications, vol. 201, no. 2, pp. 555–576, 1996
  24. Value function and optimality condition for semilinear control problems. II: Parabolic case
    Applied Mathematics & Optimization, vol. 33, no. 1, pp. 1–33, 1996
  25. A measurable upper semicontinuous viability theorem for tubes
    Nonlinear Analysis, vol. 26, no. 3, pp. 565–582, 1996
  26. Transactions of the American Mathematical Society, vol. 348, no. 08, pp. 3133–3154, 1996
  27. Measurable Viability Theorems and the Hamilton-Jacobi-Bellman Equation
    Journal of Differential Equations, vol. 116, no. 2, pp. 265–305, 1995
  28. A stochastic filippov theorem
    Stochastic Analysis and Applications, vol. 12, no. 4, pp. 409–426, 1994
  29. SIAM Journal on Control and Optimization, vol. 31, no. 1, Article ID 0331016, 1993
  30. Value function and optimality conditions for semilinear control problems
    Applied Mathematics & Optimization, vol. 26, no. 2, pp. 139–169, 1992
  31. Necessary conditions for infinite-dimensional control problems
    Mathematics of Control, Signals, and Systems, vol. 4, no. 1, pp. 41–67, 1991
  32. SIAM Journal on Control and Optimization, vol. 29, no. 6, Article ID 0329068, 1991
  33. On controllability and observability of implicit systems
    Systems & Control Letters, vol. 14, no. 3, pp. 219–225, 1990
  34. A priori estimates for operational differential inclusions
    Journal of Differential Equations, vol. 84, no. 1, pp. 100–128, 1990
  35. Hamilton-Jacobi equations: Viscosity solutions and generalized gradients
    Journal of Mathematical Analysis and Applications, vol. 141, no. 1, pp. 21–26, 1989
  36. Optimal trajectories associated with a solution of the contingent Hamilton-Jacobi equation
    Applied Mathematics & Optimization, vol. 19, no. 1, pp. 291–311, 1989
  37. Local controllability of control systems with feedback
    Journal of Optimization Theory and Applications, vol. 60, no. 2, pp. 277–296, 1989
  38. Minimal trajectories of nonconvex differential inclusions
    Journal of Optimization Theory and Applications, vol. 61, no. 3, pp. 359–376, 1989
  39. SIAM Journal on Control and Optimization, vol. 27, no. 1, Article ID 0327010, 1989
  40. SIAM Journal on Control and Optimization, vol. 27, no. 5, Article ID 0327051, 1989
  41. A maximum principle for differential inclusion problems with state constraints
    Systems & Control Letters, vol. 11, no. 3, pp. 189–194, 1988
  42. An open mapping principle for set-valued maps
    Journal of Mathematical Analysis and Applications, vol. 127, no. 1, pp. 172–180, 1987
  43. SIAM Journal on Control and Optimization, vol. 25, no. 1, Article ID 0325010, 1987
  44. SIAM Journal on Control and Optimization, vol. 25, no. 2, Article ID 0325024, 1987
  45. SIAM Journal on Control and Optimization, vol. 24, no. 6, Article ID 0324072, 1986
  46. On the single valuedness of Hamilton-Jacobi operators
    Nonlinear Analysis, vol. 10, no. 12, pp. 1477–1483, 1986
  47. SIAM Journal on Control and Optimization, vol. 22, no. 1, Article ID 0322001, 1984
  48. Boundary solutions of differential inclusion
    Journal of Differential Equations, vol. 44, no. 2, pp. 156–165, 1982