3 problems

Let $G$ be a discrete-time, linear time-invariant plant in negative feedback with a nonlinearity whose slope is restricted to $[0,k]$. Let $k_{AS}$ be the supremum of the values of…

Let $G$ be a system, and suppose that there is no suitable LTI Zames-Falb multiplier for $G$. LTI Zames-Falb multiplier necessity conjecture. The lack of an LTI Zames-Falb multipli…

Zames–Falb multiplier necessity conjecture. If there is no suitable Zames--Falb multiplier for $G$ and $k$, then there exists a slope-restricted nonlinearity in $[0,k]$ such that t…