Abstract (EN):
Properties of Lagrange multipliers from the Pontryagin maximum principle for problems with state constraints are investigated. Sufficient conditions for the continuity of the solution of the adjoint equation depending on how the extremal trajectory approaches the state constraint boundary are obtained. The proof uses the notion of closure with respect to measure of a Lebesgue measurable function and the Caratheodory theorem.
Idioma:
Inglês
Tipo (Avaliação Docente):
Científica
Nº de páginas:
9