Stability of equilibria of discrete-time systems and localization of invariant compact sets

DOI10.1134/S0012266118110022zbMath1407.37038OpenAlexW2904459816MaRDI QIDQ1731302

A. N. Kanatnikov

Publication date: 13 March 2019

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

Full work available at URL: https://doi.org/10.1134/s0012266118110022

zbMATH Keywords

stabilitydiscrete-time systeminvariant compact set

Mathematics Subject Classification ID

Stability theory for smooth dynamical systems (37C75) Stability theory for difference equations (39A30)

Related Items (5)

On the efficiency of the functional localization method ⋮ Behavior of trajectories of systems with nonnegative variables ⋮ On invariants and invariant hypersurfaces of complex discrete dynamical systems ⋮ Localizing sets and behavior of trajectories of time-varying systems ⋮ Behavior of trajectories of the Levinson-Smith equation

Cites Work

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• 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
• The stability and control of discrete processes
• Stability of equilibria of discrete-time systems in terms of invariant sets
• Functional method for the localization of invariant compact sets in discrete systems
• Localization of invariant compact sets of dynamical systems
• LOCALIZATION OF COMPACT INVARIANT SETS OF DISCRETE-TIME NONLINEAR SYSTEMS
• Some Stability Theorems for Ordinary Difference Equations

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