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The equivalence of Datko and Lyapunov properties for \((h, k)\)-trichotomic linear discrete-time systems - MaRDI portal

The equivalence of Datko and Lyapunov properties for \((h, k)\)-trichotomic linear discrete-time systems (Q1723653)

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scientific article; zbMATH DE number 7025609
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The equivalence of Datko and Lyapunov properties for \((h, k)\)-trichotomic linear discrete-time systems
scientific article; zbMATH DE number 7025609

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    The equivalence of Datko and Lyapunov properties for \((h, k)\)-trichotomic linear discrete-time systems (English)
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    19 February 2019
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    Summary: 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.
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