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20222026
most citedOn the exactness of a stability test for Lur'e systems with slope-restricted nonlinearities

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math.OC2026

Existence of stable Lur'e systems for which the O'Shea-Zames-Falb stability test fails

Andrey Kharitenko

In this note we show that the well-known stability test proposed by O'Shea, Zames and Falb is not necessary for robust stability of Lur'e systems with slope-restricted nonlineariti…