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

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 (Author), Permenter, Frank Noble (Contributor), Tedrake, Russell Louis (Contributor)
Other Authors: Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory (Contributor), Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science (Contributor)
Format: Article
Language:English
Published: Institute of Electrical and Electronics Engineers (IEEE), 2014-10-14T14:02:46Z.
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