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

111 citations · 694 across the 56 of their papers we have counts for

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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…