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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…
math.OC2024
A homotopy theorem for incremental stability
Thomas Chaffey, Andrey Kharitenko, Fulvio Forni +1
A theorem is proved to verify incremental stability of a feedback system via a homotopy from a known incrementally stable system. A first corollary of that result is that increment…