On attractors and stability for semigroup actions and control systems

DOI10.1002/mana.201400389zbMath1359.37031OpenAlexW2282233528MaRDI QIDQ2816989

Victor H. L. Rocha, Josiney A. Souza, Carlos José Braga Barros

Publication date: 26 August 2016

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201400389

zbMATH Keywords

Lyapunov stabilityattractorcontrol systemsemigroup action

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Dynamical systems in control (37N35) Stability theory for smooth dynamical systems (37C75)

Related Items (7)

Lyapunov stability and weak attraction for control systems ⋮ Unnamed Item ⋮ Entropy for semigroup actions on general topological spaces ⋮ Hyperconvergence in topological dynamics ⋮ Topological properties of prolongations and stable sets for semigroup actions ⋮ Existence and uniqueness for directional attractors of topological cocycles ⋮ Attraction, Lyapunov stability and orbital maps for semigroup actions on topological spaces and fiber bundles

Cites Work

• Lyapunov stability on fiber bundles
• Complete Lyapunov functions of control systems
• Dynamic Morse decompositions for semigroups of homeomorphisms and control systems
• Attractors and chain recurrence for semigroup actions
• Finest Morse decompositions for semigroup actions on fiber bundles
• Chain control sets for semigroup actions
• Global attractors for semigroup actions
• Semiflows on topological spaces: chain transitivity and semigroups
• Lyapunov stability for semigroup actions
• On limit behavior of semigroup actions on noncompact spaces
• LEBESGUE COVERING LEMMA ON NONMETRIC SPACES

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