Some aspects of stability for semigroup actions and control systems

DOI10.1007/s10884-014-9379-9zbMath1312.37009OpenAlexW1968803329MaRDI QIDQ481259

Hélio V. M. Tozatti, Josiney A. Souza

Publication date: 12 December 2014

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-014-9379-9

zbMATH Keywords

recurrenceLagrange stabilityPoisson stabilityrecursivenessnonwanderingprolongational limit sets

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Stability of topological dynamical systems (37B25) Dynamical systems in control (37N35) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items (14)

A note on Poincaré recurrence for semigroup actions via Furstenberg family ⋮ Attraction and Lyapunov stability for control systems on vector bundles ⋮ Prolongational controllability and weak attraction for control affine systems ⋮ Lyapunov stability and weak attraction for control systems ⋮ Unnamed Item ⋮ Entropy for semigroup actions on general topological spaces ⋮ Higher Prolongations of Control Affine Systems: Absolute Stability and Generalized Recurrence ⋮ Sufficient conditions for dispersiveness of invariant control affine systems on the Heisenberg group ⋮ Hyperconvergence in topological dynamics ⋮ Poisson stability and periodicity of control affine systems ⋮ The generalized recurrent set and strong chain recurrence ⋮ Topological properties of prolongations and stable sets for semigroup actions ⋮ Parallelizability of control systems ⋮ A characterization of completely regular spaces

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