Abstract : In this article we establish new second order necessary and suffi-cient optimality conditions for a class of control-affine problems with a scalar control and a scalar state constraint. These optimality conditions extend to the constrained state framework the Goh transform, which is the classical tool for obtaining an extension of the Legendre condition.
https://hal.inria.fr/hal-01081111
Contributor : J. Frederic Bonnans <>
Submitted on : Tuesday, December 22, 2015 - 4:22:51 PM Last modification on : Thursday, March 5, 2020 - 6:31:31 PM Long-term archiving on: : Saturday, April 29, 2017 - 11:34:44 PM
Maria Soledad Aronna, J. Frederic Bonnans, Bean San Goh. Second order analysis of state-constrained control-affine problems. Mathematical Programming, Series A, Springer, 2016, 160 (1), pp.115-147. ⟨hal-01081111v2⟩