%0 Journal Article %1 KhaSch22 %A Kharitenko, Andrey %A Scherer, Carsten W. %D 2022 %K EXC2075 PN4 PN4-3(II) curated %T On the exactness of a stability test for Lur'e systems with slope-restricted nonlinearities %X 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.

@article{KhaSch22, 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.}, added-at = {2025-02-14T11:14:18.000+0100}, archiveprefix = {arXiv}, author = {Kharitenko, Andrey and Scherer, Carsten W.}, biburl = {https://puma.ub.uni-stuttgart.de/bibtex/2f612691f039e9422bf8b049130ba076b/simtechpuma}, eprint = {2210.14992}, file = {:http\://arxiv.org/pdf/2210.14992v1:PDF}, interhash = {2311ca64370b7bd2f9f2dcdbc28776f8}, intrahash = {f612691f039e9422bf8b049130ba076b}, keywords = {EXC2075 PN4 PN4-3(II) curated}, month = {10}, primaryclass = {math.OC}, timestamp = {2025-02-14T11:14:18.000+0100}, title = {On the exactness of a stability test for Lur'e systems with slope-restricted nonlinearities}, year = 2022 }