A Certificate of Global Asymptotic Stability for Planar Polynomial Systems

descriptionPublicationkeyboard_double_arrow_right Article , Conference object 01 Jun 2018 Italy Publisher:IEEEJournal:2018 European Control Conference (ECC)

Authors: Menini, Laura; Possieri, Corrado; Tornambe, Antonio;

doi: 10.23919/ecc.2018.8550155

handle: 20.500.14243/360628 , 11583/2724538 , 2108/211027

A Certificate of Global Asymptotic Stability for Planar Polynomial Systems

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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.

Country

Italy

Related Organizations

Istituto di Analisi dei Sistemi ed Informatica Antonio Ruberti
Italy
National Research Council
Italy
Polytechnic University of Turin
Italy
University of Rome Tor Vergata
Italy

Keywords

Nonlinear systems, Control and Systems Engineering; Control and Optimization, Stability

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