Heating system with an automatic adaptive hydraulic adjustment: • at least one central heating source, for example burner • at least one first consumer (V1), each with a local supply branch and a local return branch , • at least one central circulation or heat pump (21a, b, c) for conveying a heating medium from the heating source via a central supply line to the first consumer, wherein the heating medium can flow back from the first consumer (V1) to the heating source via a central return line , • a first heating valve (HV1), in particular a thermostatic valve, assigned to the first consumer (V1) and arranged in the respective flow branch , • a first actuator (S1) associated with the first heating valve (HV1) and equipped with first control and feedback electronics (RE) for setting a valve position value for controlling a volume flow of the heating medium in the first consumer (V1), wherein the actuator (S1) preferably acts on an actuating pin of the heating valve (HV1), • a detection device (EV) for an ACTUAL value of the room temperature (TI1-4), • a control unit (40a-l) coupled to the detection device (EV) and the first actuator (S1), wherein a setpoint value for the room temperature (TS) can be stored in the control unit (40a-l) and a control signal for the valve position value can be output to the control and feedback electronics (RE) via the control unit (40a-l) and the setpoint value for the room temperature (TS) can be set by incremental actuation of the actuator (S1) and, when the setpoint value for the room temperature (TS) is reached, the respective set valve position value can be transmitted to the control unit (40a-l) via the control and feedback electronics (RE).value for the room temperature (TS) can be set and the respective set valve position value can be fed back to the control unit (40a-l) via the control and feedback electronics (RE) when the set value for the room temperature (TS) is reached and the adaptive hydraulic balancing can be performed by time-controlled, in particular continuous, adjustment of the valve position value by means of the control unit (40a-l), in particular continuous adjustment of the valve position value, characterised in that integration of the heating system into a distribution network comprising a plurality of sections is provided, the sections having independent heating lines (20a, b, c) each with at least one consumer (V1), the heating lines each supply a number of flats (30a-l) and the distribution network has at least one network control unit (NE) for dynamic hydraulic balancing in the entire distribution network, wherein the network control unit (NE) controls the heating system directly via the control units (40a-l) or via the central control units. • at least one central heating source, for example burner • at least one first consumer (V1), each with a local supply branch and a local return branch , • at least one central circulation or heat pump (21a, b, c) for conveying a heating medium from the heating source via a central supply line to the first consumer, wherein the heating medium can flow back from the first consumer (V1) to the heating source via a central return line , • a first heating valve (HV1), in particular a thermostatic valve, assigned to the first consumer (V1) and arranged in the respective flow branch , • a first actuator (S1) associated with the first heating valve (HV1) and equipped with first control and feedback electronics (RE) for setting a valve position value for controlling a volume flow of the heating medium in the first consumer (V1), wherein the actuator (S1) preferably acts on an actuating pin of the heating valve (HV1), • a detection device (EV) for an ACTUAL value of the room temperature (TI1-4), • a control unit (40a-l) coupled to the detection device (EV) and the first actuator (S1), <EOS>