Bernard Brogliato ; Alexandre Rocca - Analysis of the implicit Euler time-discretization of passive linear descriptor complementarity systems
jnsao:7269 - Journal of Nonsmooth Analysis and Optimization, May 12, 2022, Volume 3 - https://doi.org/10.46298/jnsao-2022-7269Analysis of the implicit Euler time-discretization of passive linear descriptor complementarity systemsArticle
Authors: Bernard Brogliato 
1; Alexandre Rocca 1
- 1 Modélisation, simulation et commande des systèmes dynamiques non lisses
This article is largely concerned with the time-discretization of descriptor-variable systems coupled to with complementarity constraints. They 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.
Source: HAL:hal-03169123v3
Volume: Volume 3
Section: Original research articles
Published on: May 12, 2022
Accepted on: May 10, 2022
Submitted on: March 15, 2021
Keywords: [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA], [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC], [en] descriptor-variable systems, linear complementarity systems, implicit Euler scheme, convergence, electrical circuits
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