An algorithmic method for checking global asymptotic stability of nonlinear polynomial systems with parameters

DOI10.1016/j.amc.2014.04.068zbMath1334.65197OpenAlexW1982617392MaRDI QIDQ279186

Stelios Kotsios

Publication date: 27 April 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.04.068

zbMATH Keywords

dynamical systemsLyapunov functionsnonlinearglobal asymptotic stabilitypolynomialalgebraic geometry

Mathematics Subject Classification ID

Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05)

Related Items (1)

Safe nonlinear control design for input constrained polynomial systems using sum-of-squares programming

Cites Work

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• Computation of the Stability Condition for the Hopf Bifurcation of Diffeomorphisms on $\mathbb{R}^2 $
• Numerical Polynomial Algebra
• A symbolic computational algorithm for designing feedback stabilizers of polynomial non-linear systems

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