A control device for gas appliances that comprise at least one gas tap having a safety valve that includes an electromagnet that can be supplied via a thermoelectric generator, wherein the control device comprises a circuit arrangement that includes: - first electrical-connection means (44, 46) and second electrical-connection means, configured for connection to an electromagnet and to a thermoelectric generator (15, 16), respectively, of a safety valve of a gas tap; - control means (40, 42, 62, 71), configured at least for modifying a state of an electrical connection between the first and second electrical-connection means (44, 45, 46) upon expiry of a time interval; - power-supply means (50, 55), comprising a power-supply circuit configured for supplying the circuit arrangement with low-voltage direct current; wherein the control means comprise: - a switching circuit, electrically connected between the first electrical-connection means (44, 46) and the second electrical-connection means, - a control circuit, suitable at least for counting time and configured for controlling the switching circuit, - a command circuit, connected in signal communication with the control circuit at least for the purposes of setting the aforesaid time interval; wherein the first electrical-connection means (44, 46), the second electrical-connection means and the switching circuit belong to a first control module which is designed to be operatively associated to a respective gas tap; wherein the power-supply means (50, 55) comprise a power-supply module designed for being installed in a position remote from the first control module, the power-supply module preferably comprising respective electrical-connection means, for connection to an a.c. mains (220 Vac), the control device being characterized in that: - the command circuit comprises a wireless-communication circuit, in particular a transceiver circuit, electrically connected to the control circuit and configured for receiving and/or exchanging signals in wireless mode with a remote electronic programming device usable at least for manual setting of the aforesaid time interval, and - the control circuit belongs to a third control module which is distinct and/or designed to be installed in a position remote from at least the first control module. - first electrical-connection means (44, 46) and second electrical-connection means, configured for connection to an electromagnet and to a thermoelectric generator (15, 16), respectively, of a safety valve of a gas tap; - control means (40, 42, 62, 71), configured at least for modifying a state of an electrical connection between the first and second electrical-connection means (44, 45, 46) upon expiry of a time interval; - power-supply means (50, 55), comprising a power-supply circuit configured for supplying the circuit arrangement with low-voltage direct current; wherein the control means comprise: - a switching circuit, electrically connected between the first electrical-connection means (44, 46) and the second electrical-connection means, - a control circuit, suitable at least for counting time and configured for controlling the switching circuit, - a command circuit, connected in signal communication with the control circuit at least for the purposes of setting the aforesaid time interval; wherein the first electrical-connection means (44, 46), the second electrical-connection means and the switching circuit belong to a first control module which is designed to be operatively associated to a respective gas tap; wherein the power-supply means (50, 55) comprise a power-supply module designed for being installed in a position remote from the first control module, the power-supply module preferably comprising respective electrical-connection means, for connection to an a.c. mains (220 Vac), the control device being characterized in that: - the command circuit comprises a wireless-communication circuit, in particular a transceiver circuit, electrically connected to the control circuit and configured for receiving and/or exchanging signals in wireless mode with a remote electronic programming device usable at least for manual setting of the aforesaid time interval, and - the control circuit belongs to a third control module which is distinct and/or designed to be installed in a position remote from at least the first control module. - a switching circuit, electrically connected between the first electrical-connection means (44, 46) and the second electrical-connection means, - a control circuit, suitable at least for counting time and configured for controlling the switching circuit, - a command circuit, connected in signal communication with the control circuit at least for the purposes of setting the aforesaid time interval; - the command circuit comprises a wireless-communication circuit, in particular a transceiver circuit, electrically connected to the control circuit and configured for receiving and/or exchanging signals in wireless mode with a remote electronic programming device usable at least for manual setting of the aforesaid time interval, and - the control circuit belongs to a third control module which is distinct and/or designed to be installed in a position remote from at least the first control module.