The paper develops soft and hard SRG separation theorems guaranteeing closed-loop stability for nonlinear feedback systems, generalizing prior results to unbounded open-loop systems without chordal assumptions.
Phase of nonlinear systems
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Nonlinear systems under periodic excitation have a frequency response defined via phasor form with gain, phase, and distortion functions, enabling nonlinear Bode plots for performance analysis.
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Soft and Hard Scaled Relative Graphs for Nonlinear Feedback Stability
The paper develops soft and hard SRG separation theorems guaranteeing closed-loop stability for nonlinear feedback systems, generalizing prior results to unbounded open-loop systems without chordal assumptions.
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Frequency Response of Nonlinear Systems: Notions, Analysis, and Graphical Representation
Nonlinear systems under periodic excitation have a frequency response defined via phasor form with gain, phase, and distortion functions, enabling nonlinear Bode plots for performance analysis.