Lyapunov functions for investigating the global stability of nonlinear systems

DOI10.1016/0021-8928(85)90001-2zbMath0632.34052OpenAlexW1986488088MaRDI QIDQ1095298

T. K. Sirazetdinov, A. B. Aminov

Publication date: 1985

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(85)90001-2

zbMATH Keywords

global stabilityLyapunov functionsperturbed equations

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20)

Related Items (4)

The method of Lyapunov functions in problems of multistability of motion ⋮ Conditions for a sum of forms to be of fixed sign and for stability of motion on manifolds ⋮ On the stability of equilibrium positions in non-stationary force fields ⋮ Stability analysis of singular systems

Cites Work

• The conditions for even forms to have fixed sign and for the stability as a whole of nonlinear homogeneous systems
• On asymptotic stability and instability of motion with respect to a part of the variables
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