Frequency-Domain Criterion for Stability of Oscillations in a Class of Nonlinear Feedback Systems
Dmitry Altshuller
The paper, describes the problem of stability of oscilla-tions in nonlinear feedback systems. The concept of stability is defined in a way that makes the problem trac-table using the absolute stability approach. The result is formulated in frequency domain and has the form of the Zames-Falb multiplier, which makes it amenable to geo-metric interpretation. Numerical examples are given to illustrate the application of the new result to cases, where the Circle Criterion is not applicable. The advantage of the new criterion is that only the period of the oscillations needs to be known, not the complete expression of the oscillatory solution.