Conditions for a sum of forms to be of fixed sign and for stability of motion on manifolds

DOI10.1016/0021-8928(88)90126-8zbMath0704.58027OpenAlexW2068533557MaRDI QIDQ917111

A. B. Aminov, T. K. Sirazetdinov

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0021-8928(88)90126-8

zbMATH Keywords

motion of polynomial systemsstability of motion on manifoldssum of forms

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Stability theory for smooth dynamical systems (37C75)

Cites Work

• The conditions for even forms to have fixed sign and for the stability as a whole of nonlinear homogeneous systems
• Lyapunov functions for investigating the global stability of nonlinear systems
• A note on asymptotic control theory
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