A generalized Nyquist plot and its use in sensitivity analysis†

Abstract
The Nyquist plot of a single variate transfer function provides the motivation for a graphical technique relevant to linear and non-linear operators on a Hilbert space. The graphical method is developed so as to retain the geometrical interpretation and physical insight which characterizes the conventional Nyquist plot. The extended Nyquist plot is then utilized to analyze selected system sensitivity problems in the Hilbert space setting.

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