Article ID Journal Published Year Pages File Type
750320 Systems & Control Letters 2013 6 Pages PDF
Abstract

In this paper we present Lyapunov based proofs for the well-known Arendt–Batty–Lyubich–Vũ Theorem for strongly continuous and discrete semigroups. We also study the spectral properties of the limit isometric groups used in the proofs.

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Physical Sciences and Engineering Engineering Control and Systems Engineering
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A Lyapunov approach to strong stability of semigroups
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