Robust Exponential Stability and Invariance Guarantees with General Dynamic O'Shea-Zames-Falb Multipliers
Optimization and Control
2023-06-02 v1 Systems and Control
Systems and Control
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.
Keywords
Cite
@article{arxiv.2306.00571,
title = {Robust Exponential Stability and Invariance Guarantees with General Dynamic O'Shea-Zames-Falb Multipliers},
author = {Carsten W. Scherer},
journal= {arXiv preprint arXiv:2306.00571},
year = {2023}
}
Comments
This paper will appear in the Proceedings of the IFAC World Congress 2023