Method for controlling the temperature of a component with a temperature-control system having a temperature-control device designed for heating or cooling a temperature-control fluid, characterized in that the temperature-control system also comprises: - 2 to n temperature-control arrangements (5, 5') for conducting the temperature-control fluid through the component to be controlled in temperature, wherein the 2 to n temperature-control arrangements (5, 5') are connected to the temperature-control device via a common supply line; - 2 to n return lines (7, 7') for returning the temperature-control fluid from the 2 to n temperature-control arrangements (5, 5') to the temperature-control device; - 2 to n return temperature sensors (12, 12'), wherein each return temperature sensor (12, 12') is arranged on or in one of the return lines (7, 7') and a supply temperature sensor is arranged on or in the common supply line; - a control system; - 2 to n valves (9, 9') which are each equipped with an actuator (10, 10') and are inserted each into one separate supply line (6', 6") downstream of a supply distributor bar or each into one of the return lines (7, 7'), preferably upstream of an optional return distributor bar, wherein the actuators (10, 10') are designed to set a degree of opening of the respective valve (9, 9'), and wherein the control system is designed to actuate the actuators (10, 10'); wherein the control system comprises a regulator and the regulator detects the respective individual temperature differences between the common supply temperature detected by the supply temperature sensor and the 2 to n individual return temperatures of the temperature-control fluid detected by the return temperature sensors (12, 12'), and wherein the regulator, starting from these individual temperature differences, causes the actuators (10, 10') of the 2 to n valves (9, 9') to adjust the degree of opening of these valves (9, 9') in such a way that the individual mean temperature differences between the supply temperature and the respective return temperature of the temperature-control fluid each lie in a predetermined value range, which is 1°C to 10°C, and wherein the component to be controlled in temperature is a floor, a wall or a ceiling of a living or working room or a stand-alone heating or cooling wall. - 2 to n temperature-control arrangements (5, 5') for conducting the temperature-control fluid through the component to be controlled in temperature, wherein the 2 to n temperature-control arrangements (5, 5') are connected to the temperature-control device via a common supply line; - 2 to n return lines (7, 7') for returning the temperature-control fluid from the 2 to n temperature-control arrangements (5, 5') to the temperature-control device; - 2 to n return temperature sensors (12, 12'), wherein each return temperature sensor (12, 12') is arranged on or in one of the return lines (7, 7') and a supply temperature sensor is arranged on or in the common supply line; - a control system; - 2 to n valves (9, 9') which are each equipped with an actuator (10, 10') and are inserted each into one separate supply line (6', 6") downstream of a supply distributor bar or each into one of the return lines (7, 7'), preferably upstream of an optional return distributor bar, wherein the actuators (10, 10') are designed to set a degree of opening of the respective valve (9, 9'), and wherein the control system is designed to actuate the actuators (10, 10');