A numerical algebraic geometry approach to regional stability analysis of polynomial systems

We explore region of attraction (ROA) estimation for polynomial systems via the numerical solution of polynomial equations. Computing an optimal, stable sub-level set of a Lyapunov function is first posed as a polynomial optimization problem. Solutions to this optimization problem are found by solvi...

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Bibliographic Details
Main Authors: Wampler, Charles, Permenter, Frank Noble, Tedrake, Russell Louis
Other Authors: Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory
Format: Article
Language:en_US
Published: Institute of Electrical and Electronics Engineers (IEEE) 2014
Online Access:http://hdl.handle.net/1721.1/90911
https://orcid.org/0000-0002-8935-7449
https://orcid.org/0000-0002-8712-7092