Abstract
An off-axis circle criterion is stated in this paper as a sufficient condition for the stability of a nonlinear feedback system with a single monotonic nonlinearity. The criterion provides a geometric method for determining a sector (K_{1} with in which the nonlinearity may lie for asymptotic stability. The relation between the criterion stated and the well-known Popov criterion and the circle criterion for time-varying systems is also discussed. Two examples are included to clarify various aspects of the criterion and its relation to existing results.
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