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 Computational complexity. Vols. 1–6, 854–861, Springer, New York, 2012.
Research Papers
Published (or about to be) articles:

Hamilton Jacobi Isaacs equations for differential games with asymmetric information on probabilistic initial condition.
(with C. Jimenez)
in ``
J. Math. Anal. Appl.
457 , no. 2, 1422–1451.
(2018)

Second order differential equations with random perturbations and small parameters
(with M. Kamenskii and S. Pergamenchtchikov )
in ``
Proceedings of the Royal Society of Edinburgh: Section A Mathematics
' no. 4, 763–779.
(2017)

Differential games with asymmetric information and without Isaacs condition
(with R. Buckdahn, C. Rainer and Y. Xu )
in ``
International Journal of Game Theory ' N. 4, 795 816. (2016)

Limit Value for Optimal Control with General Means
(with X. Li and J. Renault)
in `` Discrete and Continuous Dynamical Syst. Serie A
''
Vol. 36 N. 4, pp.21132132 ( 2016)

Differential games with incomplete information on initial positions and
without Isaacs condition
(with C. Jimenez and Y. Xu )
in ``
Dynamic Games and Applications'' Volume 6, Issue 1, pp 8296 (2016)

On a unified framework for approachability with full or partial monitoring
(with V. Perchet )
in `` Maths of Operation Research
'' 40 (3) 513541
(2015)

On Representation Formulas for Long Run Averaging Optimal Control Problem
(with R. Buckdahn and J. Renault)
in ``
Journal of Differential Equations '' 259, no. 11, 5554–5581 (2015).

Vanishing discount limit for nonexpansive optimal control and differential games
(with P. Cannarsa )
in `` SIAM Journal of Control and Opti.
''
53 (4), 17891814 (2015).

Averaging problem for weakly coupled nonexpansive control systems
(with H. Sedrakyan )
in `` Nonlinear Analysis TMA
''
113, 147–158 (2015).

Metric Regularity and Stability of Optimal Control
Problems for Linear Systems
(with V. Veliov) in `` SIAM Journal of Control and Opti.
''
Vol. 51(5), 4118–4137 (2014)

Value in Mixed strategies for ZeroSum Stochastic Differential Games without Isaacs Condition
(with R. Buckdahn and J. Li)
in `` Annals of Probability
''
Vol. 42 (4), 17241768 (2014)

Pure and Random strategies in differential game with incomplete informations
(with P. Cardaliaguet and C. Jimenez)
in `` Journal of Dynamics and games
''
Vol. 1 (3), 363375 (2014)

Existence of limit value for stochastic optimal control.
(with R. Buckdahn and D. Goreac)
in `` Applied Maths and Opti
''
Volume 70, Issue 1, pp 128 (2014)

On sets of occupational measures generated by a
deterministic control system on an infinite time horizon
(with V. Gaitsgory)
in `` Nonlinear Analysis TMA
''
Vol. 88, pp 2741 (2013)

On the SmallTime Controllability of Discontinuous PieceWise Linear Systems
(with M. Krastanov)
in `` Systems and Control Letters
'' Vol. 62, pp.218223. (2013)

Value function of differential games without Isaacs
conditions. An approach with nonanticipative mixed
strategies
(with R. Buckdahn and J. Li ) in `` Int. Journal of Game Theory
'' Volume 42, Issue 4, pp 9891020 (2013) .

On Existence of a limit value in some non expansive optimal
control problems (with J. Renault)
in `` SIAM Journal of Control and Opti.
'' Vol. 49, N.5, pp. 21182132 (2012)

Holder Metric Regularity of SetValued Maps
(with H. Frankowska )
in ``
Math. Programming Ser.A
'' Springer, Vol. 132, N.1 pp. 333354 (2012)

Stochastic optimal control and linear programming approach (with R. Buckdahn and D. Goreac ) in
``
Applied Mathematics & Optimization ''
Volume 63, Number 2, 257276 (2011)

Optimal Control with Hysteresis Nonlinearity and
Multidimensional Play Operator
(with A. Gudovich)
in `` SIAM Journal of Control and Opti.
'' Vol. 49, N.2 pp. 788807 (2011)

Some recent aspects of differential game theory (Survey)
(with R. Buckdahn and P. Cardaliaguet )in ``
Dynamic Games and Applications'' , Volume 1, Number 1, 74114 (2011)

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
'' Volume 17, Number 6, 715728, (2010)
 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 28032815 (2010)

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. 207214 (2010) (Available online 24 November 2007)

Existence of Equilibria of Setvalued 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 262276 (2010)

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

Linear programming analysis of deterministic infinite horizon optimal control problems
(discounting and time averaging cases)
(with V. Gaitsgory )
in `` SIAM Journal of Control and Opti.
'' Vol. 48, 4, pp. 24802512 (2009)

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

Approchability Theory, Discriminating Domain and Differential
Games
(with As Soulaimani S. and Sorin S. )
in `` SIAM Journal of Control and Opti. ''
Vol. 48, No. 4, pp. 2461  2479

Parameterized minimax problem: on Lipschitzlike dependence of
the solution with respect to the parameter
(with N. Zlateva ) in ``
SIAM J. Optim. '' Vol. 19, N. 3, pp. 12501269 (2008)

Deterministic differential games under probability knowledge of initial condition
(with P. Cardaliaguet )
in ``International Game Theory Review
''
Vol. 10, N. 1, 116 (2008).

Controlled Stochastic Differential Equations under constraints in
infinite dimensional spaces
(with R. Buckdahn and G. Tessitore )
in `` SIAM Journal of Control and Opti.
''
Vol. 47, 1, 218250 (2008).

On the reachability problem for uncertain Hybrid Systems
(with Gao Y. and Lygeros J. )
in `` IEEE Transaction on Automatic Control
''
Vol. 52, N. 9, 15721587 (2007).

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.34, pp. 267294 (2007) .

Impulse Differential Inclusions Driven by Discrete Measures
(with Lygeros J. and Rzezuchowski T. )
in `` Lecture Notes in Computer Science
''
Springer,
Vol. 4416/2007, pp. 385398. (2007).

Pursuit Evasion games with impulsive Dynamics
(with Cruck E. and SaintPierre P.)
in Annals of International Society of Dynamic Games, Birkhauser
Vol. 9, pp. 223248, (2007).

Zerosum 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. 495527. (2006)

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 6974 (2006).

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.14711486 (2006).

Aubin Criterion for Metric Regularity,
(with A. Dontchev and N. Zlateva) in `` Journal of convex Analysis
''Vol. 13 , No. 2, pp 281297 (2006).

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)

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. 253260 (2006)

Existence of Equilibria on Epilipschitz sets without invariance conditions
(with M. Kamenskii )
in `` Fixed Point Theory and Applications
'' Vol.2005 , N. 3, pp. 257279 (2005)

Stochastic control and compatible subsets of contraints
(with C. Rainer )
in `` Bulletin des Sciences Mathématiques
'' Vol.129, N. 1, pp. 3955 (2005).

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.13731399 (2005)
 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.3955. (2005).

On attainability of a set by at least one
solution to a differential inclusion,
(with G. Gabor ) in `` Optimization,'' vol.53, N.56 pp.563582 (2004)

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.13931407 (2004).
.

Averaging of Perturbed OneSidedLipschitz Differential Inclusions ,
(with T. Donchev and M. Kamenskii ) in ``
Zeitschrift fur Analysis und ihre Anwendungen ''
Vol. 23, N. 4, pp 110
(2004).

A Twopoint Boundary Value Problem for a class of Differential Inclusions,
(with T. Donchev ) in ``
Journal of Convex and Nonlinear Analysis ''Vol. 5, N. 1, pp. 5970 (2004)

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.99112.
(2004)
 Generalized Neural Network for NonSmooth Programming Problems,
(with M. Forti and P. Nistri)
in ``
IEEE Transactions on Circuit and Systems''
Vol. 51, 9, pp.17411753.
(2004)

Averaging method for discontinuous Mayer's problem of singularly perturbed control systems (with
F. Wattbled) in `` Nonlinear
Analysis: Theory, Methods \& Applications
''Vol. 54, pp. 819837 (2003) .

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. 203215,(2003) .

Equilibria and strict equilibria of multivalued maps on noninvariant
sets (with G. Gabor and P. Cardaliaguet) in
`` Annales Polonici Mathematici,
'', vol 821, pp.1937, (2003) .

On
Nonemptiness of viability kernels for infinitedimensional differential
inclusions
(with T. Donchev) in
``
Applied Maths Letters.
'', Vol. 16, pp 11951199 (2003).

On Existence of Equilibria of Lipschitz SetValued Maps
(with G. Gabor) in Bolletino Unione Math. Italian.
'', 8, 6B, pp.309321 (2003).
 On Existence of
Solutions to Differential Equations or Inclusions Remaining in a
Prescribed Closed Subset of a Finitedimensional Space
. (with G. Gabor ) in `` J. Differential Equations
'' Vol. 185, No. 2, pp. 483512 (2002).
 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. 343355 (2002).

A representation formula for the mean curvature motion (with R.
Buckdahn and P. Cardaliaguet), in ``SIAM J. Math. Anal."
Vol. 33, N. 4, pp.827846.(2002)

OleinikLax formulas and multitime HamiltonJacobi systems (with S.
Plaskacz) in `` Nonlinear
Analysis: Theory, Methods \& Applications
''Vol. 51, N. 6 pp. 957967 (2002) .

Optimal control in presence of unobservable uncertainties (with V. Veliov
) in `` Proceedings of Bulgarian Academy of Sciences
'' T. 55, N. 8 pp.1116 (2002).

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. 10451072 (2002).
 Optimal control of discretetime uncertain systems with imperfect measurement
(with R. Moitié, V. Veliov) in ``
IEEE transactions on Automatic Control''Vol. 47, 11, pp.
19091914. (2002).
 On openloop and feedback attainability of a closed set for
nonlinear control systems
. (with P. Nistri) in `` J. Math. Anal. Appl
'' Vol. 270, No. 2, pp. 474487, (2002).

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).

Solutions Tubes for Differential Inclusions within a Collection of sets.
(with V. Veliov ) in `` Control and Cybernetics. Vol 31. 3, pp.849862.
'' (2002).

Differential games with stateconstraints
. (with P. Cardaliaguet and P. SaintPierre ) 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.179182. (2002)
 Impulse differential inclusions: A viability approach to hybrid systems
(with Aubin JP. Lygeros J.\
Sastry S. Seube N.) in ``
IEEE transactions on Automatic Control'' vol. 47, 1, pp. 220, 2002.

Representation formulas for Hamilton
Jacobi equations related to calculus of variation problems. (with S.
Plaskacz) in `` Topological Methods in Nonlinear Analysis,
'' vol. 20, pp.85118, 2002.

De l'existence de solutions d'équations différentielles
assujetties à rester dans un ensemble fermé.
. (with G. Gabor ) in `` ComptesRendus de
l'Acad\'emie des Sciences. S\'erie I. PARIS, vol 333, pp. 913918
'' (2001).
 Sliding mode control of uncertain systems:
a singular perturbation approach
. (with M. Kamenskii, P. Nistri) in `` IMA J. Math. Control,
'' 19, 4, pp. 377398 (2002).

Valuefunctions 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. 14851498
16151632.

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.
499516.(2001)

Pursuit differential games with state constraints. (with P. Cardaliaguet
and P. SaintPierre) in ``
SIAM J. Control and Optimization '' Vol. 39, N. 5 (2001), pp.16151632

Discontinuous Mayer control problem under stateconstraints. (with S.
Plaskacz) in `` Topological Methods in Nonlinear Analysis,
'' Vol 15, pp. 91100.(2000).

Numerical schemes for discontinuous value functions of optimal control
(with P. Cardaliaguet and P. SaintPierre) in ``
Setvalued Analysis '' Vol. 8, N. 1 & 2 (2000) pp: 111126.

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. 485504.(2000)

Dissipative control systems and disturbance attenuation for
nonlinearH infty control problems. (with H. Frankowska) in ``
Appl. Math. Optim.''vol. 40 N. 2 pp 163181.
(1999).

Numerical methods for differential games. (with P. Cardaliaguet and
P. SaintPierre) in ``
Stochastic and differential games : Theory and numerical methods ''
(1999) pp. 177247. Annals of the international Society of Dynamic Games,
M. Bardi, T.E.S. Raghavan, T. Parthasarathy Eds. Birkhauser.

Viability under uncertain initial state
(with V. Veliov) in ``
Setvalued Analysis ''.ol. 7 No 1, pp. 5587.1999

Singular Perturbations for differential equations and inclusions :
an Approach through constrained Systems. in `` Nonlinear
Analysis: Theory, Methods \& Applications
'' Vol.
32, N.5, pp.697710.1998.

Existence of stochastic control under state constraints. (with
Buckdahn R. Peng S., Rainer C. ) in `` ComptesRendus de l'Académie
des Sciences. Série I.'' PARIS, t. 327, pp. 1722. (1998).

Stabilization of uncertain Control Systems through Piecewise
Constant Feedback.
. (with S.Seube) in `` J. Math. Anal. Appl
'' N. 196 pp.240255.1998.
 On a generalization of Tichonoff Theorem to Differential Inclusions
. in `` Doklady of Russian Academy of Sciences
(in russian)
'' V.360, N. 3,
1998, PP.309312.

An Algorithm for Viability Kernels in Holderian Case:Approximation by discrete dynamical systems.
(with P. SaintPierre) in ``
J. Mathematics of Systems, Estimation and
Control. Mat.'' Vol, 8,N.1,pp.1729.1998

Multitarget Control Problems.
(with L. Doyen) in ``J. Optimization Theory and Applt
.'' vol.93, pp.121140. 1997

Propriétés de Viabilité pour des équations différentielles
stochastiques rétrogrades et applications à des équations aux
dérivées partielles. (with
Buckdahn R.,, Rascanu A. ) in `` ComptesRendus de l'Académie
des Sciences. S\'erie I. PARIS, '' t. 325, pp. 11591162.(1997).

Optimal times for constrained nonlinear control problems without local
controllability. (with P. Cardaliaguet and P. SaintPierre) in `` Appl.
Math. Opti.'' Vol. 36 (1997) pp: 2142.

Singular perturbations in nonlinear optimal control. (with H. Zhang) in
``Differential and Integral Equations,
.'' Vol. 8, N.4,pp.931944.1995

Contribution à l'étude des jeux différentiels quantitatifs et
qualitatifs avec contrainte sur l'état. (with P. Cardaliaguet and P.
SaintPierre), in ``
ComptesRendus de l'Académie des Sciences. Série I. PARIS, '' t. 321, pp.
14431548.(1995).

Some Algorithms for Differential Games with two Players and one Target
(with P. Cardaliaguet and P. SaintPierre), in `` RAIRO Mathematical
Modeling and Numerical Analysis '', .Vol 28, N,4.pp. 441461. (1994)
 Temps optimaux pour des problèmes de contrôle avec contraintes
et sans contrôlabilité locale.
(with P. Cardaliaguet and P.
SaintPierre), in ``
ComptesRendus de l'Académie des Sciences. Série I. PARIS, '' t. 318, pp.607612
(1994).
 Perturbations singulières pour des problèmes de contrôles et
des inclusions différentielles.
in ``
ComptesRendus de l'Académie des Sciences. Série I. PARIS, t. 318, pp.607612''
(1993).

Differential inclusions and target problems in `` SIAM J. Control and
Optimization '' Vol. 30, No 2, pp.324335. 1992
 Enveloppes d'invariance pour des inclusions différentielles
Lipschitziennes: Application aux problèmes de cibles.
in ``
ComptesRendus de l'Académie des Sciences. Série I.'' PARIS, t.314,
pp.343347.1992
 Un algorithme déterminant les noyaux de viabilité pour les
inclusions différentielles avec contraintes
(with H. Frankowska) in `` ComptesRendus de l'Académie des Sciences. Série I. PARIS,'' t. 312,
pp. 3136. 1991

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.371388.,1991
 Playable Differential Games
. in `` J. Math. Anal. Appl
'' vol.1, No 1, pp. 194211.1991.
 Frontières de domaines d'invariance et de viabilité
pour des inclusions différentielles avec contraintes.
in ``
ComptesRendus de l'Académie des Sciences. Série I. PARIS,
t. 311, pp. 904914. 1991
Preprints or Works in Progress:

Weak Approchability in repeated games with partial monitoring through a differential game on Wasserstein space
(with V. Perchet )

Hamilton Jacobi characterizations of the Vanishing discount limit for optimal control
(with P. Cannarsa )

Viability of open sets for stochastic optimal control
(with R. Buckdahn and H. Frankowska )