In one aspect, a home appliance includes a communication unit to communicate with a mobile device, an event detector to detect whether or not an event is generated, and a home appliance controller to search for a control operation associated with the event from a control history upon generation of the event, to transmit information of the event and information of the control operation associated with the event through the communication unit to the mobile device and thereby to display a notification icon for notifying generation of the event and for guiding a user to the control operation associated with the event on the mobile device. Other aspects include the mobile device, and a home appliance control system implementing a mobile device and a home appliance.