State-constrained Optimal Control Problems of Impulsive Differential Equations

@inproceedings{Forcadel2011StateconstrainedOC,
title={State-constrained Optimal Control Problems of Impulsive Differential Equations},
author={Nicolas Forcadel and Zhiping Rao and Hasnaa Zidani},
year={2011}
}

The present paper studies an optimal control problem governed by measure driven differential systems and in presence of state constraints. The first result shows that using the graph completion of the measure, the optimal solutions can be obtained by solving a reparametrized control problem of absolutely continuous trajectories but with time-dependent state-constraints. The second result shows that it is possible to characterize the epigraph of the reparametrized value function by a Hamilton… CONTINUE READING