Normality, Controllability and Properness in Optimal Control
Por:
Cortez, Karla L., Rosenblueth, Javier F.
Publicada:
1 dic 2021
Ahead of Print:
1 mar 2021
Resumen:
In this paper we show that, for optimal control problems involving
equality and inequality constraints on the control function, the notions
of normality and properness (or the Mangasarian-Fromovitz constraint
qualification) of a trajectory relative to the set of constraints are
equivalent. This is in contrast with some differences recently obtained
between the theories of mathematical programming and optimal control,
and it provides an important insight in the derivation of first and
second order necessary optimality conditions for infinite dimensional
problems.
Filiaciones:
Cortez, Karla L.:
SYSTEC - Departamento de Engenharia Electrotécnica e Computadores, Faculdade de Engenharia da Universidade do Porto, Rua Dr Roberto Frias s/n, Porto, 4200-465, Portugal
Rosenblueth, Javier F.:
IIMAS, Universidad Nacional Autónoma de México, Apartado Postal 20-126, Mexico, 01000, Mexico
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