An algorithmic procedure is given for obtaining a certificate of global asymptotic stability for planar polynomial systems having the origin as equilibrium point. The procedure is not Lyapunov based and uses methods from Algebraic Geometry to study the sign of polynomial functions.
Menini, L., Possieri, C., Tornambe, A. (2018). A Certificate of Global Asymptotic Stability for Planar Polynomial Systems. In 2018 European Control Conference, ECC 2018 (pp.1263-1268). Institute of Electrical and Electronics Engineers Inc. [10.23919/ECC.2018.8550155].
A Certificate of Global Asymptotic Stability for Planar Polynomial Systems
Menini, Laura;Possieri, Corrado;Tornambe, Antonio
2018-01-01
Abstract
An algorithmic procedure is given for obtaining a certificate of global asymptotic stability for planar polynomial systems having the origin as equilibrium point. The procedure is not Lyapunov based and uses methods from Algebraic Geometry to study the sign of polynomial functions.File in questo prodotto:
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