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Original Articles

Generalizing Nyquist criteria via conformal contours for internal stability analysis

Pages 444-456 | Received 03 Nov 2013, Accepted 11 Apr 2014, Published online: 16 Dec 2014

Figures & data

Fig. 1. Configuration of the multivariable feedback system.

Fig. 1. Configuration of the multivariable feedback system.

Fig. 2. l.s(r): Nyquist contour for Lyapunov/asymptotical stability.

Fig. 2. l.s(r): Nyquist contour for Lyapunov/asymptotical stability.

Fig. 3. _ε.s;: Nyquist contour for exponential stability.

Fig. 3. _ε.s;: Nyquist contour for exponential stability.

Fig. 4. d.s: Nyquist contour for -stability.

Fig. 4. d.s: Nyquist contour for -stability.

Fig. 5. Conceptual illustration of relationships among , 1 and 2.

Fig. 5. Conceptual illustration of relationships among , 1 and 2.

Fig. 6. Cart with inverted pendulum.

Fig. 6. Cart with inverted pendulum.

Fig. 7. Nyquist locus and regularized Nyquist locus for Case (a).

Fig. 7. Nyquist locus and regularized Nyquist locus for Case (a).

Fig. 8. Nyquist locus and regularized Nyquist locus when =l.s(r).

Fig. 8. Nyquist locus and regularized Nyquist locus when =l.s(r).