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Pré-Publication, Document De Travail Année : 2021

Analysis of the implicit Euler time-discretization of passive descriptor-variable linear complementarity systems

Résumé

This article is largely concerned with the time-discretization of descriptor-variable systems coupled to with complementarity constraints. The are named descriptor-variable linear complementarity systems (DVLCS). More speci cally passive DVLCS with minimal state space representation are studied. The Euler implicit discretization of DVLCS is analysed: the one-step non-smooth problem (OSNSP), that is a generalized equation, is shown to be well-posed under some conditions. Then the convergence of the discretized solutions is studied. Several examples illustrate the applicability and the limitations of the developments.
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Dates et versions

hal-03169123 , version 1 (15-03-2021)
hal-03169123 , version 2 (07-10-2021)
hal-03169123 , version 3 (12-05-2022)

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  • HAL Id : hal-03169123 , version 1

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Bernard Brogliato, Alexandre Rocca. Analysis of the implicit Euler time-discretization of passive descriptor-variable linear complementarity systems. 2021. ⟨hal-03169123v1⟩
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