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The stationary set of the control system of the hysteresis deformation of the electro magneto elastic actuator is the segment ofthe straight line. The aim of this work is to determine the condition of the absolute stability on the derivative for control systemof the deformation of the electro magneto elastic actuator for nanobioengineering and nanobiomedical science research. Thefrequency methods for Lyapunov stable control system are used to calculate the absolute stability of the control system withelectro magneto elastic actuator. In result we obtained the condition of the absolute stability on the derivative for the controlsystem with the electro magneto elastic actuator for nanobioengineering and nanobiomedical science research.