On stability and controllability for semigroup actions
DOI: http://dx.doi.org/10.12775/TMNA.2016.039
Abstract
This paper deals with stability and controllability for semigroup
actions by using the topological method of admissible family of
open coverings. The main results state a relationship of stable
sets and control sets. The classical notion of controllability
relates to the Poisson stability. The concept of prolongational
control set relates to the Lyapunov stability.
actions by using the topological method of admissible family of
open coverings. The main results state a relationship of stable
sets and control sets. The classical notion of controllability
relates to the Poisson stability. The concept of prolongational
control set relates to the Lyapunov stability.
Keywords
Semigroup action; stability theory; control theory
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