Control device and motor generator unit of vehicle

An HV_ECU (1000) executes idling stop control to stop an engine (100) temporarily when the status of the vehicle satisfies a predetermined condition. The engine (100) is restarted by a motor generator (3000) or a starter motor (3200). In accordance with a lock determination time having temperature dependency based on the temperature of the cooling fin of the inverter (3100) (the lock determination time is set longer as the cooling fin temperature is lower), the HV_ECU (1000) switches to restart the engine (100) by the starter motor (3200) when the engine (100) is not restarted at an elapse of a lock determination time that is based on restarting the engine (100) by the motor generator (3000).