Open Access
2016 On stability and controllability for semigroup actions
Josiney A. Souza, Hélio V.M. Tozatti, Victor H.L. Rocha
Topol. Methods Nonlinear Anal. 48(1): 1-29 (2016). DOI: 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.

Citation

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Josiney A. Souza. Hélio V.M. Tozatti. Victor H.L. Rocha. "On stability and controllability for semigroup actions." Topol. Methods Nonlinear Anal. 48 (1) 1 - 29, 2016. https://doi.org/10.12775/TMNA.2016.039

Information

Published: 2016
First available in Project Euclid: 30 September 2016

zbMATH: 1362.37046
MathSciNet: MR3561420
Digital Object Identifier: 10.12775/TMNA.2016.039

Rights: Copyright © 2016 Juliusz P. Schauder Centre for Nonlinear Studies

Vol.48 • No. 1 • 2016
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