J. P. Aubin

Monotone Invariant Solutions to Differential Inclusions. (2002)

Clarke,Frank H., Aubin,J. P.

Let a given set be endowed with a preference preordering, and consider the problem of finding a solution to a differential inclusion which remains in the given set and evolves monotonically with...

Shadow Prices, Duality and Green's Formula for a Class of Optimal Control Problems. (2002)

Aubin,J. P., Clarke,F. H.

A class of optimal control problems is considered in which the cost functional is locally Lipschitz (not necessarily convex or differentiable) and the dynamics linear and/or convex. By using...

Models of Representation of Linear Invariant Systems in Continuous Time. (1998)

Aubin,J. P., Bensoussan,A.

A general model of representation for linear invariant systems in continuous time is considered. Results are proven concerning the topological structure of the internal representation. A new approach...

Qualitative solutions of non-linear equations (1988)

Aubin, J. P.

Learning processes of cognitive systems: a viability approach (1988)

Aubin, J. P.

Compatibilité entre conduites sociales réelles dans des groupes et les représentations symboliques de ces groupes : un essai de formalisation mathématique (1979)

Aubin, J. P., Louis-Guerin, C., Zavalloni, M.

Detectability Through Measurements Under Impulse Differential Inclusions.

Aubin, J.P., Haddad, G.

This paper adapts to the case of impulse and hybrid control systems the results obtained bu Aubin, Bicchi and Pancanti on "detectability" of solutions of usual control systems.