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 [25] 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.