Discrete‐time systems with slope restricted nonlinearities: Zames–Falb multiplier analysis using external positivity

This article exploits positive systems theory in the search for Zames–Falb multipliers analysis of discrete-time Lurie systems, where nonlinearity is assumed to be slope-restricted. Although a similar problem has been tackled continuous time context, results take different form and require somewhat approach overcome certain technical problems. The work two compelling features: (i) arising algorithms are completely convex; (ii) numerical compare well with state-of-the-art some cases, providing least conservative result one instance.