4 citations · 9 across the 7 of their papers we have counts for
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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…
Multipliers for nonlinearities with monotone bounds
William P. Heath, Joaquin Carrasco, Dmitry A. Altshuller
We consider Lurye (sometimes written Lur'e) systems whose nonlinear operator is characterised by a possibly multivalued nonlinearity that is bounded above and below by monotone fun…
Construction of Periodic Counterexamples to the Discrete-Time Kalman Conjecture
Peter Seiler, Joaquin Carrasco
This paper considers the Lurye system of a discrete-time, linear time-invariant plant in negative feedback with a nonlinearity. Both monotone and slope-restricted nonlinearities ar…
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 (…