Consistent Approximations to Impulsive Optimal Control Problem

Abstract

We study impulsive optimal control problem and apply a theory called consistent approximations which was introduced in [1, 2]. From an infinite dimension problem (P), we can build a sequence of discrete problems (PN) with finite dimension. We show that these discrete problems epi-converge to (P) which ensures that all sequence of global or local minimum of (PN ) that converge, will converge to a global or local minimum of (P), respectively.