Resumo (PT):
Optimality conditions for control problems with state-dependent control constraints in the form of equalities are presented in the form of a weak nonsmooth maximum principle.
These conditions apply to problems with possibly nonsmooth data.
It is shown that the necessary conditions obtained are also sufficient conditions for convex normal problems.
Abstract (EN):
Optimality conditions in the form of a weak nonsmooth maximum principle for control problems with state-dependent control equality constraints are derived. They apply to problems with possibly nonsmooth data and with pointwise set constaints on some components of the control variable. An example illustrates the distinction between the conditions reported in here and some weak maximum principles previously derived. Notably, it is also shown that the necessary conditions obtained are sufficient conditions for "convex normal" problems. Copyright (C) 2001 IFAC.
Language:
English
Type (Professor's evaluation):
Scientific
No. of pages:
6