Section: New Results
Characterization of a local quadratic growth of the Hamiltonian for control constrained optimal control problems
Participants : Frédéric Bonnans, Nikolai Osmolovskii [Systems Research Institute, Warsaw] .
In the paper  we consider an optimal control problem with inequality control constraints given by smooth functions satisfying the hypothesis of linear independence of gradients of active constraints. For this problem, we formulate a generalization of strengthened Legendre condition and prove that this generalization is equivalent to the condition of a local quadratic growth of the Hamiltonian subject to control constraints.