Abstract:In this paper, we introduce an angle notion, called the singular angle, for stable nonlinear systems from an inputoutput perspective. The proposed system singular angle, based on the angle between L2-signals, describes an upper bound for the "rotating effect" from the system input to output signals. It is, thus, different from the recently appeared nonlinear system phase which adopts the complexification of real-valued signals using the Hilbert transform. It can quantify the passivity and serve as an angular c… Show more
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