On the exactness of a stability test for Lur'e systems with slope-restricted nonlinearities

2022/10/26 by Andrey Kharitenko, Carsten W. Scherer, Kharitenko, Andrey +1
Engineering · Mathematics · Physics and Astronomy · #93D10 (Primary) #Advanced Differential Equations and Dynamical Systems #FOS: Electrical engineering #FOS: Mathematics #Optimization and Control (math.OC) #Quantum chaos and dynamical systems #Stability and Controllability of Differential Equations #Systems and Control (eess.SY) #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.2210.14992

openalex publication_date 2022/10/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note it is shown that the famous multiplier absolute stability test of R. O'Shea, G. Zames and P. Falb is necessary and sufficient if the set of Lur'e interconnections is lifted to a Kronecker structure and an explicit method to construct the destabilizing static nonlinearity is presented.

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