In nonlinear control and stability theory, the circle criterion is a stability criterion for nonlinear time-varying systems. It can be viewed as a generalization of the Nyquist stability criterion for linear time-invariant (LTI) systems.

Overview

located on the x-axis.

General description

Consider the nonlinear system

Suppose that

1. is stable

such that for any solution of the system, the following relation holds:

Condition 3 is also known as the frequency condition. Condition 1 is the sector condition.

External links

• Sufficient Conditions for Dynamical Output Feedback Stabilization via the Circle Criterion

• Popov and Circle Criterion (Cam UK)

• Stability analysis using the circle criterion in Mathematica

References