A complete characterization of exponential stability for discrete dynamics

Autor:	Lupa, Nicolae, Popescu, Liviu Horia
Rok vydání:	2017
Předmět:	Mathematics - Dynamical Systems 39A30 37D25
Zdroj:	Journal of Difference Equations and Applications 23 (12), 2072-2092, 2017
Druh dokumentu:	Working Paper
DOI:	10.1080/10236198.2017.1391238
Popis:	For a discrete dynamics defined by a sequence of bounded and not necessarily invertible linear operators, we give a complete characterization of exponential stability in terms of invertibility of a certain operator acting on suitable Banach sequence spaces. We connect the invertibility of this operator to the existence of a particular type of admissible exponents. For the bounded orbits, exponential stability results from a spectral property. Some adequate examples are presented to emphasize some significant qualitative differences between uniform and nonuniform behavior. Comment: The final version will be published in Journal of Difference Equations and Applications
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1710.02191 Zobrazit plný text záznamu View this record from Arxiv