Global asymptotic stability analysis by the localization method of invariant compact sets

DOI10.1134/S0012266116110021zbMath1362.34089MaRDI QIDQ517175

Alexander P. Krishchenko

Publication date: 16 March 2017

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

zbMATH Keywords

equilibria of autonomous systemsinvariant compact setsnecessary and sufficient conditions for the global asymptotic stability of an equilibrium

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Global stability of solutions to ordinary differential equations (34D23) Invariant manifolds for ordinary differential equations (34C45)

Related Items (9)

Qualitative properties of a Duffing system with polynomial nonlinearity ⋮ Stability of equilibria of discrete-time systems in terms of invariant sets ⋮ Construction of Lyapunov functions by the method of localization of invariant compact sets ⋮ On the efficiency of the functional localization method ⋮ Behavior of trajectories of systems with nonnegative variables ⋮ Stability of equilibria of discrete-time systems and localization of invariant compact sets ⋮ Behavior of trajectories of time-invariant systems ⋮ Localizing sets and behavior of trajectories of time-varying systems ⋮ Behavior of trajectories of the Levinson-Smith equation

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