%0 Conference Paper %1 Cunis2022acc %A Cunis, Torbjørn %A Legat, Benoît %B 2023 American Control Conference %C San Diego, CA %D 2023 %K imported myown %R 10.23919/ACC55779.2023.10156153 %T Sequential sum-of-squares programming for analysis of nonlinear systems %X Numerous interesting properties in nonlinear systems analysis can be written as polynomial optimization problems with nonconvex sum-of-squares problems. To solve those problems efficiently, we propose a sequential approach of local linearizations leading to tractable, convex sum-of-squares problems. Local convergence is proven under the assumption of strong regularity and the new approach is applied to estimate the region of attraction of a polynomial aircraft model.

@inproceedings{Cunis2022acc, abstract = {Numerous interesting properties in nonlinear systems analysis can be written as polynomial optimization problems with nonconvex sum-of-squares problems. To solve those problems efficiently, we propose a sequential approach of local linearizations leading to tractable, convex sum-of-squares problems. Local convergence is proven under the assumption of strong regularity and the new approach is applied to estimate the region of attraction of a polynomial aircraft model.}, added-at = {2023-01-10T09:19:16.000+0100}, address = {San Diego, CA}, archiveprefix = {arXiv}, arxivid = {2210.02142}, author = {Cunis, Torbj{\o}rn and Legat, Beno{\^{i}}t}, biburl = {https://puma.ub.uni-stuttgart.de/bibtex/23d8a8185ed34261bc04a601390f2dcef/tcunis}, booktitle = {2023 American Control Conference}, doi = {10.23919/ACC55779.2023.10156153}, eprint = {2210.02142}, file = {:Users/cunis/Downloads/2210.02142.pdf:pdf}, interhash = {f7a43400baea4acd6d83117297279378}, intrahash = {3d8a8185ed34261bc04a601390f2dcef}, keywords = {imported myown}, preprinturl = {http://arxiv.org/abs/2210.02142}, timestamp = {2023-11-29T10:45:20.000+0100}, title = {Sequential sum-of-squares programming for analysis of nonlinear systems}, year = 2023 }