35 citations · 141 across the 15 of their papers we have counts for
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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…
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…