The invention is directed to a transmission that controls multiple torque generating elements. The transmission control device utilizes two torque generating elements that are connected to an output element through a differential which has two degrees of freedom and at least three rotating elements. The transmission can use the inertia response of the torque generating elements during a change in a command value of a demanded driving force and improves the ability to increase and decrease the output driving force and the responsiveness of any increase or decrease of the driving force.