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

Bernard Brogliato 1 Alexandre Rocca 1
1 TRIPOP - Modélisation, simulation et commande des systèmes dynamiques non lisses
Inria Grenoble - Rhône-Alpes, LJK - Laboratoire Jean Kuntzmann
Abstract : 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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https://hal.inria.fr/hal-03169123
Contributor : Bernard Brogliato <>
Submitted on : Monday, March 15, 2021 - 10:20:17 AM
Last modification on : Tuesday, March 16, 2021 - 11:23:33 PM

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

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