Abstract (EN):
An optimal control problem for time-varying, nonlinear
differential equations with state-dependent control constraints is
considered, the data may be nonsmooth.
A weak maximum principle is derived in case of equality mixed
constraints and pointwise set constraints imposed only on some
components of the control variable.
This result is then applied to derive
another weak maximum principle for problems with
both equality and inequality mixed constraints.
The essential assumption is a full rankness condition imposed
on the constraints.
Additionally, a lemma shows how the results are related to previous contributions.
Language:
English
Type (Professor's evaluation):
Scientific
No. of pages:
6