Construction of Lyapunov functions by the method of localization of invariant compact sets

DOI10.1134/S0012266117110039zbMath1385.34042MaRDI QIDQ1701797

Alexander P. Krishchenko

Publication date: 27 February 2018

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

Lyapunov functionautonomous systems

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Invariant manifolds for ordinary differential equations (34C45)

Related Items (3)

Behavior of trajectories in localizing sets ⋮ Behavior of trajectories of time-invariant systems ⋮ Behavior of trajectories of the Levinson-Smith equation

Cites Work

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• Localization of simple and complex dynamics in nonlinear systems
• Asymptotic stability analysis of autonomous systems by applying the method of localization of compact invariant sets
• Global asymptotic stability analysis by the localization method of invariant compact sets
• Estimations of domains with cycles
• Investigation of asymptotic stability of equilibria by localization of the invariant compact sets
• Localization of invariant compact sets of dynamical systems

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