ON CONTROL PROBLEM WITH CONSTRAINTS OF
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