The Equivalence of Datko and Lyapunov Properties for ( )-Trichotomic Linear Discrete-Time Systems

Claudia-Luminiţa Mihiţ, Mihail Megan and Traian Ceauşu

Discrete Dynamics in Nature and Society, 2016, vol. 2016, 1-8

Abstract:

The aim of this paper is to characterize a general property of -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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:3760262

DOI: 10.1155/2016/3760262

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