On stability and controllability for semigroup actions

Josiney A. Souza, Hélio V. M. Tozatti, Victor H. L. Rocha

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.

Keywords


Semigroup action; stability theory; control theory

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