An electrical household appliance system that comprises: - an electrical appliance, having at least an electrical load and a first digital control system, which comprises means (115, 120, 125) for managing flows of electric current of supply of the at least one electrical load, said means for managing (115, 120, 125) including a first controllable switch; and - a control device (160; 191), which may be operatively set between an electrical supply line (150, 151) of the electrical appliance and a corresponding a.c. electric voltage supply source, the control device (160; 191) having a second digital control system (165-167, 170, 171, 175) with a second controllable switch designed to manage in ON-OFF mode the a.c. electric voltage from the supply source to the electrical appliance, wherein at least one of the first digital control system and second digital control system (165-167, 170, 171, 175) is prearranged for transmitting information and at least another one of the first digital control system and second digital control system (165-167, 170, 171, 175) is prearranged for receiving information, wherein the first and second digital control systems (110; 165-167, 170, 171, 175) are prearranged for transmitting and/or receiving said information through said electrical supply line (150, 151), wherein: - the first digital control system is configured for encoding first information via a sequence of actions of closing and opening of the first controllable switch associated to periods of variable duration, the information to be transmitted being associated to the variable duration of said periods, and wherein the second digital control system (165-167, 170, 171, 175) includes means for receiving the first information, comprising means (165, 166, 167) for measuring variations of the electric current absorbed by the electrical appliance and means for decoding the first information; characterized in that: - the second digital control system (165-167, 170, 171, 175) is configured for encoding second information via a sequence of interruptions (SPF1, SPF2, SPF3) of fixed duration of the supply a.c. voltage of the electrical appliance, which can be executed via the second controllable switch, said interruptions (SPF1, SPF2, SPF3) of fixed duration being separated by a corresponding interval (Pause1, Pause2) of variable duration, the information to be transmitted being associated to the variable duration of the interval (Pause1, Pause2), and the fixed duration of the interruptions (SPF1, SPF2, SPF3) being such as not to perturb operation of the electrical appliance, and wherein the first digital control system includes means for receiving the second information, comprising means for detecting said interruptions and means for decoding the second information. - an electrical appliance, having at least an electrical load and a first digital control system, which comprises means (115, 120, 125) for managing flows of electric current of supply of the at least one electrical load, said means for managing (115, 120, 125) including a first controllable switch; and - a control device (160; 191), which may be operatively set between an electrical supply line (150, 151) of the electrical appliance and a corresponding a.c. electric voltage supply source, the control device (160; 191) having a second digital control system (165-167, 170, 171, 175) with a second controllable switch designed to manage in ON-OFF mode the a.c. electric voltage from the supply source to the electrical appliance, wherein at least one of the first digital control system and second digital control system (165-167, 170, 171, 175) is prearranged for transmitting information and at least another one of the first digital control system and second digital control system (165-167, 170, 171, 175) is prearranged for receiving information, wherein the first and second digital control systems (110; 165-167, 170, 171, 175) are prearranged for transmitting and/or receiving said information through said electrical supply line (150, 151), - the first digital control system is configured for encoding first information via a sequence of actions of closing and opening of the first controllable switch associated to periods of variable duration, the information to be transmitted being associated to the variable duration of said periods, and wherein the second digital control system (165-167, 170, 171, 175) includes means for receiving the first information, comprising means (165, 166, 167) for measuring variations of the electric current absorbed by the electrical appliance and means for decoding the first information; - the second digital control system (165-167, 170, 171, 175) is configured for encoding second information via a sequence of interruptions (SPF1, SPF2, SPF3) of fixed duration of the supply a.c. voltage of the electrical appliance, which can be executed via the second controllable switch, said interruptions (SPF1, SPF2, SPF3) of fixed duration being separated by a corresponding interval (Pause1, Pause2) of variable duration, the information to be transmitted being associated to the variable duration of the interval (Pause1, Pause2), and the fixed duration of the interruptions (SPF1, SPF2, SPF3) being such as not to perturb operation of the electrical appliance, and wherein the first digital control system includes means for receiving the second information, comprising means for detecting said interruptions and means for decoding the second information.