Mathematics > Optimization and Control
[Submitted on 5 Oct 2022]
Title:Sequential sum-of-squares programming for analysis of nonlinear systems
View PDFAbstract: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.
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