2 citations · 3 across the 3 of their papers we have counts for
3 papers
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★ 1 cited
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…
math.OC2022★ 2 cited
On the exactness of a stability test for Lur'e systems with slope-restricted nonlinearities
Andrey Kharitenko, Carsten W. Scherer
In this note it is shown that the famous multiplier absolute stability test of R. O'Shea, G. Zames and P. Falb is necessary and sufficient if the set of Lur'e interconnections is l…