Discrete characterizations of h-dichotomy for linear discrete-time systems in Banach spaces

Popa, Carmen-Florinela

doi:10.2478/awutm-2025-0004

Abstract

The present paper is focused of some concepts of dichotomy with growth rates (h-dichotomy, weak h-dichotomy) for linear discrete systems. These concepts use two types of dichotomy projections sequences (invariant and strongly invariant) and generalize some well-known dichotomy concepts. More precisely, necessary and sufficient conditions of Datko type are given using both invariant and strongly invariant projections sequences for h-dichotomy and weak h-dichotomy.

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Discrete characterizations of h-dichotomy for linear discrete-time systems in Banach spaces

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