4 papers · 1 filter
State constrained control-affine parabolic problems II: Second order sufficient optimality conditions
M. Soledad Aronna, J. -Frédéric Bonnans, Axel Kröner
In this paper we consider an optimal control problem governed by a semilinear heat equation with bilinear control-state terms and subject to control and state constraints. The stat…
State-constrained control-affine parabolic problems I: first and second order necessary optimality conditions
M. Soledad Aronna, J. Frédéric Bonnans, Axel Kröner
In this paper we consider an optimal control problem governed by a semilinear heat equation with bilinear control-state terms and subject to control and state constraints. The stat…
Necessary conditions involving Lie brackets for impulsive optimal control problems
M. Soledad Aronna, Monica Motta, Franco Rampazzo
We obtain higher order necessary conditions for a minimum of a Mayer optimal control problem connected with a nonlinear, control-affine system, where the controls range on an m-dim…
A Higher-order Maximum Principle for Impulsive Optimal Control Problems
M. Soledad Aronna, Monica Motta, Franco Rampazzo
We consider a nonlinear system, affine with respect to an unbounded control which is allowed to range in a closed cone. To this system we associate a Bolza type minimum problem…