On the exactness of a stability test for Lur'e systems with slope-restricted nonlinearities
Optimization and Control
2022-10-28 v1 Systems and Control
Systems and Control
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.
Keywords
Cite
@article{arxiv.2210.14992,
title = {On the exactness of a stability test for Lur'e systems with slope-restricted nonlinearities},
author = {Andrey Kharitenko and Carsten W. Scherer},
journal= {arXiv preprint arXiv:2210.14992},
year = {2022}
}