Stabilization of polynomial systems in \(\mathbb{R}^3\) via homogeneous feedback

DOI10.1515/jaa-2021-2080zbMath1505.93186OpenAlexW4206283836MaRDI QIDQ2101139

Thouraya Kharrat, Fehmi Mabrouk, Hamadi Jerbi

Publication date: 28 November 2022

Published in: Journal of Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jaa-2021-2080

zbMATH Keywords

periodic orbitsstabilizationpolynomial systemshomogeneous feedbackhomogeneous systems

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Nonlinear systems in control theory (93C10)

Cites Work

• Unnamed Item
• Asymptotic stabilization of a generic class of three dimensional homogeneous quadratic systems
• Global stabilization of a class of bilinear systems in \(\mathbb R^3\)
• Contributions to stability theory
• Homogeneous Lyapunov function for homogeneous continuous vector field
• Asymptotic stabilizability of homogeneous polynomial systems of odd degree
• On a new type of stability
• On the stabilization of a class of bilinear systems in 3-space
• Stabilization of homogeneous polynomial systems in the plane
• Stabilization of Polynomial Nonlinear Systems by Algebraic Geometry Techniques