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The study continues the recent work of the authors, by sketching an approach of the aircraft-pilot system stability analysis, considering both the rate saturation of the actuator and the time delay in control input. A stable behavior of the closed loop pilot-aircraft system with input delay was previously obtained. The problem is now if this stability survives in the presence of the actuator rate saturation. The mathematical tools of stability analysis are those of the Integral Quadratic Constraints (IQC) methodology.