ON CONTROL PROBLEM WITH CONSTRAINTS OF
ASYMPTOTIC CHARACTER
Artem Baklanov, Alexander Chentsov, Ilya Savenkov
For the double integrator with a discontinuous
coefficient at the control, we obtain an attraction
set—an asymptotic variant of reachable sets corresponding
to constraints of asymptotic character—
and study the latter’s properties.
These constraints correspond to a control mode
in the class of short-time pulses. An additional
requirement is to fully consume the available energy
resources. To calculate the attraction set numerically,
an algorithm was developed and implemented.
The results of computational experiments
are presented.