The device has an imaging resistive bolometer (102) electrically connected to a resistance measuring circuit (22) that measures the resistance of the bolometer. A resistance control unit (32) controls the resistance of the bolometer by injecting the predetermined reference current in the bolometer using an injection unit i.e. current source (56). The control unit has a disconnection unit i.e. comparator (62), for disconnecting the injection unit when the voltage at a terminal (B) of the bolometer is equal to a predetermined reference voltage. Independent claims are also included for the following: (1) an infrared radiation detecting system comprising an matrix of a line of infrared radiation detecting devices (2) a method for reading an imaging resistive bolometer of a matrix of bolometers of an infrared radiation detecting system.