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math.OC2018★ 18 cited
An indirect numerical method for a time-optimal state-constrained control problem in a steady two-dimensional fluid flow
Roman Chertovskih, Nathalie T. Khalil, Dmitry Karamzin +1
This article concerns the problem of computing solutions to state-constrained optimal control problems whose trajectory is affected by a flow field. This general mathematical frame…
math.OC2018
Normality of Necessary Optimality Conditions for Calculus of Variations Problems with State Constraints
Nathalie Khalil, Sofia O. Lopes
We consider non-autonomous calculus of variations problems with a state constraint represented by a given closed set. We prove that if the interior of the Clarke tangent cone of th…