A control system configured with a speed change mechanism. When starting combustion in an internal combustion engine under a combustion-stopped vehicle running condition, the combustion in the internal combustion engine is stopped, the speed change mechanism forms the one-way transmission speed, and the output member rotates. A rotational speed feedback control is executed that sets a value that multiplies a rotational speed of the output member by a speed ratio of the one-way transmission speed as a reference rotational speed of the input member, sets a starting rotational speed, and controls a rotary electric machine such that the rotational speed of the input member matches the target rotational speed. During execution of the rotational speed feedback control, a start control is performed that increases engagement pressure of the clutch to increase a rotational speed of the internal combustion engine and start combustion in the internal combustion engine.