On simultaneous shifts in which shift control of virtual gear positions overlaps shift control of mechanical gear positions, an electronic control unit is configured to delay output of a shift command on the virtual gear position such that shifts of the virtual gear position and the mechanical gear position are performed in synchronization. Therefore, the virtual gear position and the mechanical gear position are shifted in synchronization, irrespective of a difference between the shift response times, and the feeling of strangeness given to the driver due to shift shock, or the like, is suppressed.

An infinitely variable transmission (IVT) includes a double planetary gearset with first, second, and third transmission components. The IVT includes a single planetary gearset with fourth, fifth, and sixth transmission components. In one mode, a first set of clutches is engaged, allowing transmission of engine power to the first transmission component, and allowing transmission of IVP power between a second IVP machine and the second transmission component. The third transmission component combines the engine power and the IVP power into first combined power that is transmitted from the third transmission component to the fourth transmission component. The fifth transmission component transmits return power to an engine shaft, and the sixth transmission component combines the first combined power and the return power into second combined power that is output to an output shaft for rotating the output shaft at a range of rotational speeds.

Methods and systems for an electric drive unit. The electric drive system includes, in one example, a set of electric machines each of which are rotationally coupled to a pinion device in a set of pinion devices and a planetary assembly. The electric drive system further includes an inverter assembly electrically coupled to the set of electric machines in parallel. The planetary assembly includes the set of pinion devices, a carrier which is mechanically grounded, a ring device, and a sun device, where the ring device and/or the sun device are rotationally coupled to the set of pinion devices.