Lyapunov function proof of Poincaré's theorem

DOI10.1080/00207720410001714824zbMath1142.34339OpenAlexW2082924832MaRDI QIDQ4828696

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Publication date: 26 November 2004

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207720410001714824

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Lyapunov and storage functions (93D30) Asymptotic stability in control theory (93D20) Stability of solutions to ordinary differential equations (34D20) Periodic orbits of vector fields and flows (37C27)

Cites Work

• Nonlinear system stabilization via hierarchical switching control
• Asymptotically stable walking for biped robots: analysis via systems with impulse effects

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