Recent Articles by Jean-Pierre Aubin

Viability

AUBIN J.-P. (preprint) An introduction to Viability Theory
AUBIN J.-P. & SAINT-PIERRE P. (seminar Viabilité-Jeux-Contrôle, November 5, 2002) Lorenz Attractors, Julia Sets and Viability Kernels

 

Stochastic Viability and Finance

AUBIN J.-P. & SAINT-PIERRE P. A Tychastic Approach  to Financial Problems Ascona, June3, 2005)

AUBIN J.-P., PUJAL D. & SAINT-PIERRE P.  Dynamic Management of Portfolios with
Transaction Costs under Tychastic Uncertainty,

AUBIN J.-P. & DOSS H. (2004) Characterization  of Stochastic Viability of any Nonsmooth Set

Involving its Generalized Contingent Curvature

AUBIN J.-P. & HADDAD G. (2002) History (Path) Dependent Optimal Control and Portfolio Valuation

and Management, J. Positivity

AUBIN J.-P., DA PRATO G. & FRANKOWSKA H. (2000) Summary of papers on stochastic viability and invariance  for differential inclusions

AUBIN J.-P., DA PRATO G. & FRANKOWSKA H. (2000) Stochastic invariance for differential inclusions,

J. Set-Valued Analysis, 8, 181-201

AUBIN J.-P. & DA PRATO G. (1998) The viability theorem for stochastic differential inclusions,

Stochastic Analysis and Applications, 16, 1-15

Viability and Control

AUBIN J.-P., BAYEN A. & SAINT-PIERRE P. (2006) Dirichlet Problems for some Hamilton-Jacobi Equations With Inequality Constraints (submitted)

AUBIN J.-P. (2007) Ockham's razor: Deriving cyclic evolutions from viability and inertia constraints

 

AUBIN J.-P. (2006) A Viability Approach to the Inverse Set-Valued Map Theorem J.Ev. Eq.

AUBIN J.-P. (2002) Boundary-Value Problems for Systems of Hamilton-Jacobi-Bellman Inclusions with
Constraints, SIAM J. Control,  41, 425-456
AUBIN J.-P. (2001) Viability Kernels and Capture Basins of Sets under Differential Inclusions, SIAM J.
Control, 40, 853-881
AUBIN J.-P. & CATTE F. (2002) Bilateral Fixed-Point and Algebraic Properties of Viability Kernels and
Capture Basins of Sets, Set-Valued Analysis
AUBIN J.-P (2002) Detectability of Solutions to Control Systems Through Informations Gathered Along Time

Dynamical Games and Complexity

AUBIN J.-P. & LESNE A. (2004) Constructing and Exploring Wells of Energy Landscapes

AUBIN J.-P., BERNARDO T. & SAINT-PIERRE P. (2004) A Viability Approach to Global Climate Change Issues

AUBIN J.-P. (2005) Dynamical Connectionist Network and Cooperative Games,

AUBIN J.-P. & SAINT-PIERRE P. (2005) Guaranteed Inertia Functions in Dynamical Games

AUBIN J.-P. & SAINT-PIERRE P. (2004) An introduction to Viability Theory and management of renewable resources


AUBIN J.-P. (2002) Dynamic Core of Fuzzy Dynamical Cooperative Games, Annals of Dynamic Games,

Ninth International Symposium on Dynamical Games and Applications, Adelaide, 2000

AUBIN J.-P. (2003) Regulation of the Evolution of the Architecture of a Connectionist Network by

Tensors Operating on Coalitions of Actors, Evolutionary Economics

AUBIN J.-P. (to appear) Evolution of Complex Economic Systems and Uncertain Informations

AUBIN J.-P. (1998) Connectionist Complexity and its Evolution, in Equations aux dérivées partielles,

Articles dédiés à J.-L. Lions

AUBIN J.-P., BONNEUILN., DOYEN L. & GABAY D.  (1999) Structures Intergénérationnelles  et Intertemporelles,

Modélisation Dynamique,Commissariat Général du Plan

AUBIN J.-P. & DORDAN O. (1996) Fuzzy Systems, Viability Theory and Toll Sets, In Handbook of Fuzzy Systems, Modeling and Control, Hung Nguyen Ed.. Kluwer, 461-488

 

Impulse and Hybrid Systems

AUBIN J.-P.  A Viability Approach to Impulse  Control and Hybrid Systems
AUBIN J.-P. & HADDAD G. Impulse Capture Basins of Sets under Impulse Control Systems

AUBIN J.-P. & HADDAD G. (2001) Cadenced Runs of Impulse and Hybrid Control Systems,

International Journal Robust and Nonlinear Control

AUBIN J.-P. & SEUBE N. (2001) Conditional Viability for Impulse Differential Games,

AUBIN J.-P., LYGEROS J., QUINCAMPOIX. M., SASTRY S. & SEUBE N. (2002) Impulse Differential

 Inclusions: A Viability Approach to Hybrid Systems, IEEE Transactions on Automatic Control, 47, 2-20

AUBIN J.-P. & HADDAD G. (submitted) Detectability through Measurements under Impulse Differential

Inclusions,

AUBIN J.-P. & DORDAN O. (2001) Dynamical Qualitative Analysis of Evolutionary Systems,

AUBIN J.-P. (2000) Optimal impulse control problems and quasi-variational inequalities thirty years

later: a viability approach

AUBIN J.-P. & HADDAD G. (2001) Path-dependent impulse and hybrid control systems, in Hybrid

 Systems: Computation and Control, 119-132, Di Benedetto & Sangiovanni-Vincentelli Eds, Proceedings of the

HSCC 2001 Conference, LNCS 2034, Springer-Verlag

AUBIN J.-P. (2001) The substratum of impulse and hybrid control systems, in Hybrid Systems:

Computation and Control, 105-118, Di Benedetto & Sangiovanni-Vincentelli Eds, Proceedings of the HSCC

2001 Conference, LNCS 2034, Springer-Verlag

Miscellaneous

AUBIN J.-P.  À Lions, MATAPLI, 2001

AUBIN J.-P.  Ky Fan et Georges Leitmann: Doctorat Honoris Causa

AUBIN J.-P.  Antisémitisme: Lettre au Ministre de l'Éducation Nationale (2003)

AUBIN J.-P.  (2002) Elements of Viability Theory for the Analysis of Dynamic Economics

AUBIN J.-P. & BURNOD Y. (1998) Hebbian Learning in Neural Networks with Gates

AUBIN J.-P. (1996) Une Métaphore Mathématique du principe de précaution, Natures, Sciences,
Sociétés, 4, 146-154

AUBIN J.-P. (1996) La Révolution de l'Orgueil et Giulio-Cesare Vanini

AUBIN J.-P. & EKELAND Ivar (1984) Des mathématiciens doivent-ils participer au programme STS ?

AUBIN J.-P. Genèse du CEREMADE (1970)

AUBIN J.-P. L'Adieu au CEREMADE (1996)