35 citations · 58 across the 5 of their papers we have counts for
4 papers · 1 filter
Phase limitations of multipliers at harmonics
William Paul Heath, Joaquin Carrasco, Jingfan Zhang
We present a phase condition under which there is no suitable multiplier for a given continuous-time plant. The condition can be derived from either the duality approach or from th…
Duality bounds for discrete-time Zames-Falb multipliers
Jingfan Zhang, Joaquin Carrasco, William Heath
We develop phase limitations for the discrete-time Zames-Falb multipliers based on the separation theorem for Banach spaces. By contrast with their continuous-time counterparts the…
Noncausal FIR Zames-Falb Multiplier Search for Exponential Convergence Rate
Jingfan Zhang, Peter Seiler, Joaquin Carrasco
In the existing literature, there are two approaches to estimate tighter bounds of the exponential convergence rate of stable Lure systems. On one hand, the classical integral quad…
Convex searches for discrete-time Zames-Falb multipliers
Joaquin Carrasco, William P. Heath, Nur Syazreen Ahmad +2
In this paper we develop and analyse convex searches for Zames--Falb multipliers. We present two different approaches: Infinite Impulse Response (IIR) and Finite Impulse Response (…