{"docId":9555,"paperId":7269,"url":"https:\/\/jnsao.episciences.org\/7269","doi":"10.46298\/jnsao-2022-7269","journalName":"Journal of Nonsmooth Analysis and Optimization","issn":"","eissn":"2700-7448","volume":[{"vid":614,"name":"Volume 3"}],"section":[{"sid":107,"title":"Original research articles","description":[]}],"repositoryName":"Hal","repositoryIdentifier":"hal-03169123","repositoryVersion":3,"repositoryLink":"https:\/\/hal.archives-ouvertes.fr\/hal-03169123v3","dateSubmitted":"2021-03-15 11:48:20","dateAccepted":"2022-05-10 15:58:05","datePublished":"2022-05-12 11:21:48","titles":{"en":"Analysis of the implicit Euler time-discretization of passive linear descriptor complementarity systems"},"authors":["Brogliato, Bernard","Rocca, Alexandre"],"abstracts":{"0":"paper 7269","en":"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."},"keywords":[{"en":"electrical circuits"},{"en":"convergence"},{"en":"implicit Euler scheme"},{"en":"linear complementarity systems"},{"en":"descriptor-variable systems"},"[MATH.MATH-NA]Mathematics [math]\/Numerical Analysis [math.NA]","[MATH.MATH-OC]Mathematics [math]\/Optimization and Control [math.OC]"]}