Disclosed is a hydrostatic work device for a mobile work machine, with hydrostatic actuators and an operating device via which a movement request to the actuators can be detected, which is an input variable of a kinematic model of the actuators stored in a control device, the actuators depending on an output variable of the control device are controllable, wherein a detection device is provided via which a kinematic state of the actuators that can be assigned or assigned to the movement requirement or output variable is provided. Furthermore, a method for controlling the implement is disclosed.
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