Marc Quincampoix

Books

  • Advances in Dynamic Games Theory, S. Jorgensen, M. Quincampoix, T. Vincent Editors, in `` Annals of International Society of Dynamic Games'' , Birkhauser 2007.
  • Differential games, M. Quincampoix, in `` Encyclopedia of Complexity and System Science, '' Springer 2008.

    • Research Papers

    Published (or about to be) articles:
    1. Lipschitz Continuity and Semiconcavity Properties of the Value Function of a Stochastic Control Problem (with R. Buckdahn and P. Cannarsa) in `` NoDEA : Nonlinear Differential Equations and Applications '' Birkhauser (to appear)
    2. The problem of optimal control with reflection studied through a linear optimization problem stated on occupational measures (with O. Serea ) in `` Nonlinear Analysis ''Nonlinear Analysis TMA Volume 72, Issue 6, Pages 2803-2815 (2010)
    3. Another proof for the equivalence between invariance of closed sets with respect to stochastic and deterministic systems (with Buckdahn R., Rainer C. and Teichman J. ) in `` Bulletin des Sciences Mathématiques '' Vol 134 pp. 207-214 (2010) (Available online 24 November 2007)
    4. Existence of Equilibria of Set-valued Maps on Bounded Epilipschitz Domains in Hilbert Spaces without Invariance Conditions (with A. Goudovitch, M. Kamenskii ) in `` Nonlinear Analysis ''Nonlinear Analysis TMA Volume 72, Issue 1, Pages 262-276 (2010)
    5. On limiting values of stochastic differential equations with small noise intensity tending to zero (with Buckdahn R. and Ouknine Y. ) in `` Bulletin des Sciences Mathématiques ''Bull. Sci. math. 133 (2009) 229–237
    6. Linear programming analysis of deterministic infinite horizon optimal control problems (discounting and time averaging cases) (with V. Gaitsgory )
      7. in `` SIAM Journal of Control and Opti. '' Vol. 48, 4, pp. 2480-2512 (2009)
    7. Existence of periodic solutions of a ordinary differential equation perturbed by a small parameter: An averaging approach (with A. Gudovich and M. Kamenski ) in `` Comptes rendus mathématiques de l'Académie des Sciences, Paris. '' C. R. Acad. Sci. Paris, Ser. I 347 (2009) 369–374
    8. Parameterized minimax problem: on Lipschitz-like dependence of the solution with respect to the parameter (with N. Zlateva )
      9. in `` SIAM J. Optim. '' Vol. 19, N. 3, pp. 1250-1269 (2008)
    9. Deterministic differential games under probability knowledge of initial condition (with P. Cardaliaguet )
      10. in ``International Game Theory Review '' Vol. 10, N. 1, 1-16 (2008).
    10. Controlled Stochastic Differential Equations under constraints in infinite dimensional spaces (with R. Buckdahn and G. Tessitore )
      11. in `` SIAM Journal of Control and Opti. '' Vol. 47, 1, 218-250 (2008).
    11. On the reachability problem for uncertain Hybrid Systems (with Gao Y. and Lygeros J. ) in `` IEEE Transaction on Automatic Control '' Vol. 52, N. 9, 1572-1587 (2007).
    12. An Averaging method for singularly perturbed systems with Hysteresis in Infinite Dimensional Spaces (with Goudovitch A., Kamenskii M. Nistri P.)in `` Differential Equations and Dynamical systems'' Vol. 15, N.3-4, pp. 267-294 (2007) .
    13. Impulse Differential Inclusions Driven by Discrete Measures (with Lygeros J. and Rzezuchowski T. ) in `` Lecture Notes in Computer Science '' Springer, Vol. 4416/2007, pp. 385-398. (2007).
    14. Pursuit Evasion games with impulsive Dynamics (with Cruck E. and Saint-Pierre P.) in Annals of International Society of Dynamic Games, Birkhauser Vol. 9, pp. 223-248, (2007).
    15. Zero-sum state constrained differential games: Existence of value for Bolza problem. (with P. Bettiol and P. Cardaliaguet ) in `` International Journal of Game Theory'' Vol. 34, N.4, pp. 495-527. (2006)
    16. On Lipschitz Regularity of Minimizers of a Calculus of Variations Problem with non Locally Bounded Lagrangians (with N. Zlateva ) in in `` Comptes rendus Mathématiques,'' Vol. 343, 1, Pages 69-74 (2006).
    17. Convergence of neural networks for programming problems via a nonsmooth Lojasiewicz inequality (with M. Forti and P. Nistri)in `` IEEE Transactions on Neural networks '' Vol. 17 , No. 6, pp.1471-1486 (2006).
    18. Aubin Criterion for Metric Regularity, (with A. Dontchev and N. Zlateva) in `` Journal of convex Analysis ''Vol. 13 , No. 2, pp 281-297 (2006).
    19. The Reachability Problem for Uncertain Hybrid Systems Revisited: A Viability Theory Perspective (with Y. Gao and J. Lygeros ) in `` Lecture Notes in Computer Science, Springer,'' Volume 3927, pp. 242 - 256 (2006)
    20. A characterization of approximately controllable linear stochastic differential equation (with R. Buckdahn and G. Tessitore ) in `` Stochastic Partial differential Equations and Applications, G. Da Prato and L. Tubaro Eds '' Series of Lecture Notes in pure and appl. Math., Chapman & Hall Vol.245 , pp. 253-260 (2006)
    21. Existence of Equilibria on Epilipschitz sets without invariance conditions (with M. Kamenskii ) in `` Fixed Point Theory and Applications '' Vol.2005 , N. 3, pp. 257-279 (2005)
    22. Stochastic control and compatible subsets of contraints (with C. Rainer ) in `` Bulletin des Sciences Mathématiques '' Vol.129, N. 1, pp. 39-55 (2005).
    23. Optimal Control of Uncertain Systems with Incomplete Information for the Disturbances, (with V. Veliov ) in `` SIAM J. Control and Optimization '' Vol.43 N. 4. pp.1373-1399 (2005)
    24. On the Dynamics of a Differential Inclusion built upon a Nonconvex Constrained Minimization Problem . (with P. Nistri) in `` J. Optimization Theory and Appl. '' Vol. 129, N. 1 pp.39-55. (2005).
    25. On attainability of a set by at least one solution to a differential inclusion, (with G. Gabor ) in `` Optimization,'' vol.53, N.5-6 pp.563-582 (2004)
    26. On the Control of Uncertain Impulsive Systems: Approximate Stabilization and Controlled Invariance (with Gao, Y. Lygeros J. Seube N.) in `` International Journal of Control '' Vol. 77, N. 16, pp.1393-1407 (2004). .
    27. Averaging of Perturbed One-Sided-Lipschitz Differential Inclusions , (with T. Donchev and M. Kamenskii ) in `` Zeitschrift fur Analysis und ihre Anwendungen '' Vol. 23, N. 4, pp 1-10 (2004).
    28. A Two-point Boundary Value Problem for a class of Differential Inclusions, (with T. Donchev ) in `` Journal of Convex and Nonlinear Analysis ''Vol. 5, N. 1, pp. 59-70 (2004)
    29. Stochastic Control with Exit Time and Constraints, Application to Small Time Attainability of sets (with R. Buckdahn, C. Rainer A. Rascanu) in `` Appl. Math. Optim.'' Vol. 49, 2, pp.99-112. (2004)
    30. Generalized Neural Network for Non-Smooth Programming Problems, (with M. Forti and P. Nistri) in `` IEEE Transactions on Circuit and Systems'' Vol. 51, 9, pp.1741-1753. (2004)
    31. Averaging method for discontinuous Mayer's problem of singularly perturbed control systems (with F. Wattbled) in `` Nonlinear Analysis: Theory, Methods \& Applications ''Vol. 54, pp. 819-837 (2003) .
    32. Approximate stabilisation of uncertain hybrid systems (with Gao, Y. Lygeros J. Seube N.) in `` Proceedings of Computation and control. 6th international workshop, HSCC 2003, Berlin: Springer. Lect. Notes Comput. Sci. '', 2623, pp. 203-215,(2003) .
    33. Equilibria and strict equilibria of multivalued maps on noninvariant sets (with G. Gabor and P. Cardaliaguet) in `` Annales Polonici Mathematici, '', vol 82-1, pp.19-37, (2003) .
    34. On Nonemptiness of viability kernels for infinite-dimensional differential inclusions (with T. Donchev) in `` Applied Maths Letters. '', Vol. 16, pp 1195-1199 (2003).
    35. On Existence of Equilibria of Lipschitz Set-Valued Maps (with G. Gabor) in Bolletino Unione Math. Italian. '', 8, 6-B, pp.309-321 (2003).
    36. On Existence of Solutions to Differential Equations or Inclusions Remaining in a Prescribed Closed Subset of a Finite-dimensional Space . (with G. Gabor ) in `` J. Differential Equations '' Vol. 185, No. 2, pp. 483-512 (2002).
    37. Singularly perturbed second order differential inclusions by an averaging method. . (with M. Kamenskii, P. Nistri) in `` International Journal of Pure and Applied Mathematics '' vol. 3, N. 3, pp. 343-355 (2002).
    38. A representation formula for the mean curvature motion (with R. Buckdahn and P. Cardaliaguet), in ``SIAM J. Math. Anal." Vol. 33, N. 4, pp.827-846.(2002)
    39. Oleinik-Lax formulas and multitime Hamilton-Jacobi systems (with S. Plaskacz) in `` Nonlinear Analysis: Theory, Methods \& Applications ''Vol. 51, N. 6 pp. 957-967 (2002) .
    40. Optimal control in presence of unobservable uncertainties (with V. Veliov ) in `` Proceedings of Bulgarian Academy of Sciences '' T. 55, N. 8 pp.11-16 (2002).
    41. Viability of moving sets for stochastic differential equations (with Buckdahn R. ,Rainer C. , A. Rascanu) in `` Advances in differential Equations '' Vol. 7, N. 9, pp. 1045--1072 (2002).
    42. Optimal control of discrete-time uncertain systems with imperfect measurement (with R. Moitié, V. Veliov) in `` IEEE transactions on Automatic Control''Vol. 47, 11, pp. 1909-1914. (2002).
    43. On open-loop and feedback attainability of a closed set for nonlinear control systems . (with P. Nistri) in `` J. Math. Anal. Appl '' Vol. 270, No. 2, pp. 474-487, (2002).
    44. A Viability Approach for Optimal Control with Infimum Cost, (with O. Serea ) in `` Annals. Stiint. Univ. Al. I. Cuza Iasi,s.I a, Mat, '' t. XLVIII, f.1., p. 113 - 132 (2002).
    45. Solutions Tubes for Differential Inclusions within a Collection of sets. (with V. Veliov ) in `` Control and Cybernetics. Vol 31. 3, pp.849-862. '' (2002).
    46. Differential games with state-constraints . (with P. Cardaliaguet and P. Saint-Pierre ) in `` Petrosjan, L. A. (ed.) et al., 10th international symposium on dynamic games and applications. St. Petersburg, Russia. In 2 vol. St. Petersburg: International Society of Dynamic Games, St. Petersburg State Univ. '' pp.179-182. (2002)
    47. Impulse differential inclusions: A viability approach to hybrid systems (with Aubin J-P. Lygeros J.\ Sastry S. Seube N.) in `` IEEE transactions on Automatic Control'' vol. 47, 1, pp. 2-20, 2002.
    48. Representation formulas for Hamilton Jacobi equations related to calculus of variation problems. (with S. Plaskacz) in `` Topological Methods in Nonlinear Analysis, '' vol. 20, pp.85-118, 2002.
    49. De l'existence de solutions d'équations différentielles assujetties à rester dans un ensemble fermé. . (with G. Gabor ) in `` Comptes-Rendus de l'Acad\'emie des Sciences. S\'erie I. PARIS, vol 333, pp. 913-918 '' (2001).
    50. Sliding mode control of uncertain systems: a singular perturbation approach . (with M. Kamenskii, P. Nistri) in `` IMA J. Math. Control, '' 19, 4, pp. 377-398 (2002).
    51. Value-functions for differential games and control systems with discontinuous terminal cost. (with S. Plaskacz) in `` SIAM J. Control and Optimization '' Vol. 39, N. 5 (2001),  pp. 1485-1498 1615-1632.
    52. Local small time controlability and attainability of a set for nonlinear control system. (with M.Krastanov) in `` ESAIM Control, Opti and Calcul. of Variations, '' Vol. 6, pp. 499-516.(2001)
    53. Pursuit differential games with state constraints. (with P. Cardaliaguet and P. Saint-Pierre) in `` SIAM J. Control and Optimization '' Vol. 39, N. 5 (2001),  pp.1615-1632
    54. Discontinuous Mayer control problem under state-constraints. (with S. Plaskacz) in `` Topological Methods in Nonlinear Analysis, '' Vol 15, pp. 91-100.(2000).
    55. Numerical schemes for discontinuous value functions of optimal control (with P. Cardaliaguet and P. Saint-Pierre) in `` Set-valued Analysis '' Vol. 8, N. 1 & 2 (2000) pp: 111-126.
    56. Stochastic Viability For Backward Stochastic Differential Equations and Applications to Partial Differential Equations. (with Buckdahn R. , A. Rascanu) in `` Probability Theory and Relat. fields '' .Vol. 116, pp. 485-504.(2000)
    57. Dissipative control systems and disturbance attenuation for nonlinear-H infty control problems. (with H. Frankowska) in `` Appl. Math. Optim.''vol. 40 N. 2 pp 163-181. (1999).
    58. Numerical methods for differential games. (with P. Cardaliaguet and P. Saint-Pierre) in `` Stochastic and differential games : Theory and numerical methods '' (1999) pp. 177-247. Annals of the international Society of Dynamic Games, M. Bardi, T.E.S. Raghavan, T. Parthasarathy Eds. Birkhauser.
    59. Viability under uncertain initial state (with V. Veliov) in `` Set-valued Analysis ''.ol. 7 No 1, pp. 55-87.1999
    60. Singular Perturbations for differential equations and inclusions : an Approach through constrained Systems. in `` Nonlinear Analysis: Theory, Methods \& Applications '' Vol. 32, N.5, pp.697-710.1998.
    61. Existence of stochastic control under state constraints. (with Buckdahn R. Peng S., Rainer C. ) in `` Comptes-Rendus de l'Académie des Sciences. Série I.'' PARIS, t. 327, pp. 17-22. (1998).
    62. Stabilization of uncertain Control Systems through Piecewise Constant Feedback. . (with S.Seube) in `` J. Math. Anal. Appl '' N. 196 pp.240-255.1998.
    63. On a generalization of Tichonoff Theorem to Differential Inclusions . in `` Doklady of Russian Academy of Sciences (in russian) '' V.360, N. 3, 1998, PP.309-312.
    64. An Algorithm for Viability Kernels in Holderian Case:Approximation by discrete dynamical systems. (with P. Saint-Pierre) in `` J. Mathematics of Systems, Estimation and Control. Mat.'' Vol, 8,N.1,pp.17-29.1998
    65. Multitarget Control Problems. (with L. Doyen) in ``J. Optimization Theory and Applt .'' vol.93, pp.121-140. 1997
    66. Propriétés de Viabilité pour des équations différentielles stochastiques rétrogrades et applications à des équations aux dérivées partielles. (with Buckdahn R.,, Rascanu A. ) in `` Comptes-Rendus de l'Académie des Sciences. S\'erie I. PARIS, '' t. 325, pp. 1159-1162.(1997).
    67. Optimal times for constrained nonlinear control problems without local controllability. (with P. Cardaliaguet and P. Saint-Pierre) in `` Appl. Math. Opti.'' Vol. 36 (1997) pp: 21-42.
    68. Singular perturbations in nonlinear optimal control. (with H. Zhang) in ``Differential and Integral Equations, .'' Vol. 8, N.4,pp.931-944.1995
    69. Contribution à l'étude des jeux différentiels quantitatifs et qualitatifs avec contrainte sur l'état. (with P. Cardaliaguet and P. Saint-Pierre), in `` Comptes-Rendus de l'Académie des Sciences. Série I. PARIS, '' t. 321, pp. 1443-1548.(1995).
    70. Some Algorithms for Differential Games with two Players and one Target (with P. Cardaliaguet and P. Saint-Pierre), in `` RAIRO Mathematical Modeling and Numerical Analysis '', .Vol 28, N,4.pp. 441-461. (1994)
    71. Temps optimaux pour des problèmes de contrôle avec contraintes et sans contrôlabilité locale. (with P. Cardaliaguet and P. Saint-Pierre), in `` Comptes-Rendus de l'Académie des Sciences. Série I. PARIS, '' t. 318, pp.607-612 (1994).
    72. Perturbations singulières pour des problèmes de contrôles et des inclusions différentielles. in `` Comptes-Rendus de l'Académie des Sciences. Série I. PARIS, t. 318, pp.607-612'' (1993).
    73. Differential inclusions and target problems in `` SIAM J. Control and Optimization '' Vol. 30, No 2, pp.324-335. 1992
    74. Enveloppes d'invariance pour des inclusions différentielles Lipschitziennes: Application aux problèmes de cibles. in `` Comptes-Rendus de l'Académie des Sciences. Série I.'' PARIS, t.314, pp.343-347.1992
    75. Un algorithme déterminant les noyaux de viabilité pour les inclusions différentielles avec contraintes (with H. Frankowska) in `` Comptes-Rendus de l'Académie des Sciences. Série I. PARIS,'' t. 312, pp. 31-36. 1991
    76. Viability kernels of differential inclusions with constraints: Algorithm and applications. (with H. Frankowska) in `` J. Mathematics of Systems, Estimation and Control. Mat.'' vol.1, No 3, pp.371-388.,1991
    77. Playable Differential Games . in `` J. Math. Anal. Appl '' vol.1, No 1, pp. 194-211.1991.
    78. Frontières de domaines d'invariance et de viabilité pour des inclusions différentielles avec contraintes. in `` Comptes-Rendus de l'Académie des Sciences. Série I. PARIS, t. 311, pp. 904-914. 1991


    Preprints:

    1. Holder Metric Regularity of Set-Valued Maps (with H. Frankowska )
    2. On Existence of a limit value in some non expansive optimal control problems (with J. Renault)
    3. Optimal Control with Hysteresis Nonlinearity and Multidimensional Play Operator (with A. Gudovich)
    4. Purely informative game. Approachability in Wasserstein space (with V. Perchet )
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