activity
20042006
most citedThe max-plus finite element method for solving deterministic optimal control problems: basic properties and convergence analysis

111 citations · 132 across the 5 of their papers we have counts for

collaborators

6 papers

cond-mat.mes-hall2006

Fractional Quantum Hall States in Fast Rotating Bose Gases

A. Lakhoua, T. Masson, J. C. Wallet

We use a Chern Simons Landau-Ginzburg (CSLG) framework related to hierarchies of composite bosons to describe 2D harmonically trapped fast rotating Bose gases in Fractional Quantum…

math.OC2006★ 111 cited

The max-plus finite element method for solving deterministic optimal control problems: basic properties and convergence analysis

Marianne Akian, Stephane Gaubert, Asma Lakhoua

We introduce a max-plus analogue of the Petrov-Galerkin finite element method to solve finite horizon deterministic optimal control problems. The method relies on a max-plus variat…

math.OC2005★ 7 cited

The max-plus finite element method for optimal control problems: further approximation results

Marianne Akian, Stephane Gaubert, Asma Lakhoua

We develop the max-plus finite element method to solve finite horizon deterministic optimal control problems. This method, that we introduced in a previous work, relies on a max-pl…

cond-mat.mes-hall2005

Anyonic Excitations in Fast Rotating Bose Gases

J. C. Wallet

The role of anyonic excitations in fast rotating harmonically trapped Bose gases in a fractional Quantum Hall State is examined. Standard Chern-Simons anyons as well as "non standa…

cond-mat.mes-hall2005★ 1 cited

Anyonic Excitations in Fast Rotating Bose Gases Revisited

A. Lakhoua, M. Lassaut, T. Masson +1

The role of anyonic excitations in fast rotating harmonically trapped Bose gases in a fractional Quantum Hall state is examined. Standard Chern-Simons anyons as well as "non standa…

math.OC2004★ 13 cited

A max-plus finite element method for solving finite horizon deterministic optimal control problems

Marianne Akian, Stephane Gaubert, Asma Lakhoua

We introduce a max-plus analogue of the Petrov-Galerkin finite element method, to solve finite horizon deterministic optimal control problems. The method relies on a max-plus varia…