CONTROL DEVICE

To achieve both the suppression of the occurrence of any shift shock associated with the shifting operation and an improvement in the energy efficiency in a situation where a shift speed is switched to a shift speed with a smaller gear ratio when the accelerator pedal position of a vehicle is equal to or smaller than a prescribed value, there is provided a control apparatus for controlling a transmission apparatus that includes: an input member drivably connected to an engine and a rotating electrical machine; an output member; and a speed change mechanism in which a plurality of friction engagement elements are controlled to be engaged and released to switch a plurality of shift speeds, and that shifts the rotation speed of the input member at a gear ratio of each shift speed so as to output the shifted speed to the output member. When switching to a shift speed with a smaller gear ratio is carried out in an accelerator pedal light depression position state, a release-side oil pressure being a pressure of hydraulic oil on a to-be-released element, i.e., a release-side element, is reduced so as to cause the release-side element to slip. Such a slipping state is kept for the entire shifting phase that begins at a time point when the release-side element begins to slip and ends at another time point when a rotation speed, which is obtained by multiplying a rotation speed of the output member by the gear ratio after the switching of the shift speeds, and the rotation speed of the input member synchronize with each other.