The influence of the parameters of the control pulse of a magnetic field with the shape of a rectangular trapezoid on the dynamics of domain walls in ferrite garnets and orthoferrites is studied. The calculation results are compared with experimental data obtained by the high-speed photography method. It is shown that the front edge of the control pulse with duration of less than 80 ns has a slight effect on the dynamics of the domain wall in materials in which the velocity of domain wall motion does not exceed several hundred meters per second. If the domain wall velocity is several kilometers per second, then a front edge with a duration of 50 ns leads to long acceleration of the domain wall to the maximum velocity and reduces the time required for the wall to move with this velocity, thereby limiting the possibility of additional control over the wall dynamics. It is shown that an excessively long front edge of the pulse can lead to a decrease in the maximum velocity of the domain wall and its mobility in the experimental measurements. An excessively short control pulse with a fixed amplitude leads to a decrease in the maximum displacement of the domain wall and, consequently, to a decrease in the time of motion with a constant velocity that corresponds to a given amplitude of the control pulse.