  By the theory of pseudoinverse matrices and orthoprojectors, we establish a
criterion for the solvability and find the general form of solutions of an
integrodifferential equation with with impulse action and control. The general
form of control for which these solutions exist is also determined. 9 pages.
The publication contains the research results of project No.2020.02/0089 with
the grant support of the National Research Fund of Ukraine.
