A comparison of three methods of constructing Lyapunov functions

DOI10.1016/0021-8928(95)00120-4zbMath0925.70210OpenAlexW2090826027MaRDI QIDQ1370029

V. V. Rumyantsev

Publication date: 4 November 1997

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(95)00120-4

zbMATH Keywords

energy-momentum methodenergy-Casimir methodChetayev's methodRouth-Lyapunov method

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Stability of solutions to ordinary differential equations (34D20)

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Cites Work

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• Nonlinear stability of fluid and plasma equilibria
• Lectures on Mechanics
• On stability of motion of nonholonomic systems
• On the Routh theorem and the Chetaev method for constructing the liapunov function from the integrals of the equations of motion