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Describing functions for stability of certain non-linear systems.
Arsenio, Artur "On Stability and Error Bounds of Describing Functions for Oscillatory Control of Movements", IROS 2000, Takamatsu, Japan, 2000.
In this paper, an extension to higher-order describing functions is realised by introducing the concept of the harmonics generator.
Based on the approximation of classical describing functions, the stability of linearized pilot vehicle systems can be easily analyzed.
The chapter lists common methods for analyzing nonlinear control systems: linearizing around the operating point, using describing functions, modeling with uncertain parameters, and modeling with apparent noise.
In particular, the conditions to achieve robust stability to limit cycles are studied from the point of view of the filter parameters through the describing functions theory.
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Dementia is a state of cognitive decline sufficient to cause functional problems; thus, describing function is a critical component.
We calculate the flame describing function (FDF) using harmonic forcing at several frequencies and amplitudes.
Approximate solutions for such oscillations can be obtained by Tsypkin's method or Describing Function analysis.
Favorable comparisons are made to predictions based on less rigorous describing function or harmonic balance techniques.
The nonlinear friction characteristic is linearized by using its corresponding describing function.
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