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 for conducting the temperature-control fluid through the component to be controlled in temperature, wherein the 2 to n temperature-control arrangements are connected to the temperature-control device via a common supply line ; - 2 to n return lines for returning the temperature-control fluid from the 2 to n temperature-control arrangements to the temperature-control device ; - 2 to n return temperature sensors , wherein each return temperature sensor is arranged on or in one of the return lines and a supply temperature sensor is arranged on or in the common supply line ; - a control system ; - 2 to n valves which are each equipped with an actuator 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 , preferably upstream of an optional return distributor bar , wherein the actuators are designed to set a degree of opening of the respective valve , and wherein the control system is designed to actuate the actuators ; 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 , and wherein the regulator , starting from these individual temperature differences, causes the actuators of the 2 to n valves to adjust the degree of opening of these valves 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 for conducting the temperature-control fluid through the component to be controlled in temperature, wherein the 2 to n temperature-control arrangements are connected to the temperature-control device via a common supply line ; - 2 to n return lines for returning the temperature-control fluid from the 2 to n temperature-control arrangements to the temperature-control device ; - 2 to n return temperature sensors , wherein each return temperature sensor is arranged on or in one of the return lines and a supply temperature sensor is arranged on or in the common supply line ; - a control system ; - 2 to n valves which are each equipped with an actuator 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 , preferably upstream of an optional return distributor bar , wherein the actuators are designed to set a degree of opening of the respective valve , and wherein the control system is designed to actuate the actuators ; <EOS>