%0 Journal Article %1 Sch23 %A Scherer, Carsten W. %D 2023 %I arXiv %K PN4-3(II) PN4 EXC2075 %R 10.48550/ARXIV.2306.00571 %T Robust Exponential Stability and Invariance Guarantees with General Dynamic O'Shea-Zames-Falb Multipliers %X We propose novel time-domain dynamic integral quadratic constraints with a terminal cost for exponentially weighted slope-restricted gradients of not necessarily convex functions. This extends recent results for subdifferentials of convex function and their link to so-called O'Shea-Zames-Falb multipliers. The benefit of merging time-domain and frequency-domain techniques is demonstrated for linear saturated systems.

@article{Sch23, abstract = {We propose novel time-domain dynamic integral quadratic constraints with a terminal cost for exponentially weighted slope-restricted gradients of not necessarily convex functions. This extends recent results for subdifferentials of convex function and their link to so-called O'Shea-Zames-Falb multipliers. The benefit of merging time-domain and frequency-domain techniques is demonstrated for linear saturated systems.}, added-at = {2024-03-12T10:23:37.000+0100}, archiveprefix = {arXiv}, author = {Scherer, Carsten W.}, biburl = {https://puma.ub.uni-stuttgart.de/bibtex/26d56bf30aceda82dbe378861c8440a6e/mst}, copyright = {Creative Commons Attribution Non Commercial No Derivatives 4.0 International}, doi = {10.48550/ARXIV.2306.00571}, eprint = {2306.00571}, file = {:Sch23 - Robust Exponential Stability and Invariance Guarantees with General Dynamic O'Shea Zames Falb Multipliers.pdf:PDF}, groups = {PN4-3, PN4-3(II)}, interhash = {42a30196bd6841002736f80fdb9c14f5}, intrahash = {6d56bf30aceda82dbe378861c8440a6e}, keywords = {PN4-3(II) PN4 EXC2075}, month = jun, primaryclass = {math.OC}, publisher = {arXiv}, timestamp = {2024-03-12T10:23:37.000+0100}, title = {Robust Exponential Stability and Invariance Guarantees with General Dynamic O'Shea-Zames-Falb Multipliers}, year = 2023 }