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Pré-Publication, Document De Travail Année : 2019

Homogeneous discrete-time approximation

Résumé

In this paper we study some stability properties of discrete-time systems whose transition map can be approximated by a discrete-time homogeneous transition map. This allows us to identify qualitative stability properties of discrete-time systems by only knowing the discrete-time homogeneity degree of its approximation. We show how these results can be applied to the stability analysis of discrete-time systems obtained by means of the explicit and implicit Euler discretization methods.
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Dates et versions

hal-01990132 , version 1 (22-01-2019)

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Tonametl Sanchez, Denis Efimov, Andrey Polyakov, Jaime Moreno. Homogeneous discrete-time approximation. 2019. ⟨hal-01990132⟩
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