The Equivalence of Datko and Lyapunov Properties for (h, k)‐Trichotomic Linear Discrete‐Time Systems

Claudia-Luminiţa Mihiţ, Mihail Megan and Traian Ceauşu

Discrete Dynamics in Nature and Society, 2016, vol. 2016, issue 1

Abstract: The aim of this paper is to characterize a general property of (h, k)‐trichotomy through some Lyapunov functions for linear discrete‐time systems in infinite dimensional spaces. Also, we apply the results to illustrate necessary and sufficient conditions for nonuniform exponential trichotomy and nonuniform polynomial trichotomy.

Date: 2016
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https://doi.org/10.1155/2016/3760262

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnddns:v:2016:y:2016:i:1:n:3760262

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