The integrated electro-hydrostatic actuator (EHA) with variable displacement and variable rotation speed is researched. In the system, the output of the actuator is changed by controlling the rotation speed of the brushless DC servomotor and the displacement of the servopump. The mathematical model described in state-space model is created. The system characteristics are studied based on the point of multiplicative dual-variable. And the basic method of control of the system is presented.