Construction of Lyapunov functions for nonlinear systems using normal forms

DOI10.1006/JMAA.1997.5679zbMath0893.93028OpenAlexW2049069712MaRDI QIDQ1378744

Aiguo Yan, Carla A. Schwartz

Publication date: 16 March 1998

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5679

zbMATH Keywords

Lyapunov functioncentre manifoldnormal form computations

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Lyapunov and storage functions (93D30) Asymptotic stability in control theory (93D20) Stability of solutions to ordinary differential equations (34D20)

Related Items (1)

A Lie transform approach to the construction of Lyapunov functions in autonomous and non-autonomous systems

Cites Work

• Unnamed Item
• Applications of centre manifold theory
• Normal forms near critical points for differential equations and maps
• Families of Lyapunov functions for nonlinear systems in critical cases

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