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In this paper, the relative stability characteristics of nonlinear power reactor control systems are analyzed. The analyses are based upon the stability-equation method. A simple reactor control system with one complex nonlinearity is considered first, followed by a reactor control system with two nonlinearities not related by a linear transfer function with low-pass characteristic. The results of analyses are presented in parameter-planes with various loci and boundaries, which are useful for engineers to design a system by choosing the proper values of adjustable parameters.