Skip to Main content Skip to Navigation
Journal articles

Analysis of the implicit Euler time-discretization of passive linear descriptor 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. 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.
Complete list of metadata

https://hal.inria.fr/hal-03169123
Contributor : Bernard Brogliato Connect in order to contact the contributor
Submitted on : Thursday, May 12, 2022 - 8:41:56 AM
Last modification on : Monday, May 30, 2022 - 11:53:21 AM

File

JNSAO_7269_final.pdf
Files produced by the author(s)

Licence


Distributed under a Creative Commons Attribution - ShareAlike 4.0 International License

Identifiers

Collections

Citation

Bernard Brogliato, Alexandre Rocca. Analysis of the implicit Euler time-discretization of passive linear descriptor complementarity systems. Journal of Nonsmooth Analysis and Optimization, Episciences, 2022, Volume 3, ⟨10.46298/jnsao-2022-7269⟩. ⟨hal-03169123v3⟩

Share

Metrics

Record views

96

Files downloads

253