This repository contains the numerical results of paper "Quadratic Constraints for Local Stability Analysis of Quadratic Systems" by Shih-Chi Liao, Maziar S. Hemati, Peter Seiler, published at IEEE Conference on Decision and Control 2022 in Cancun, Maxico.
[Paper on IEEE] / [Paper on arXiv] / [Slides] / [Poster]
This paper proposes new quadratic constraints (QCs) to bound a quadratic polynomial. Such QCs can be used in dissipation inequalities to analyze the stability and performance of nonlinear systems with quadratic vector fields. The proposed QCs utilize the sign-indefiniteness of certain classes of quadratic polynomials. These new QCs provide a tight bound on the quadratic terms along specific directions. This reduces the conservatism of the QC bounds as compared to the QCs in previous work. Two numerical examples of local stability analysis are provided to demonstrate the effectiveness of the proposed QCs.
If you find this project helpful, please cite the following reference:
@inproceedings{liao2022quadratic,
title={Quadratic constraints for local stability analysis of quadratic systems},
author={Liao, Shih-Chi and Hemati, Maziar S and Seiler, Peter},
booktitle={2022 IEEE 61st Conference on Decision and Control (CDC)},
pages={7053--7058},
year={2022},
organization={IEEE},
doi={10.1109/CDC51059.2022.9992343}
}