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Analysis of the implicit Euler time-discretization of a class of descriptor-variable linear cone complementarity systems

Bernard Brogliato 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 a class of descriptor-variable systems coupled with complementarity constraints, named descriptor-variable linear complementarity systems (DVLCS). Specifically, the Euler implicit discretization of DVLCS is analysed: the one-step non-smooth problem, which is a generalized equation, is shown to be well-posed under some conditions. Then the convergence of the discretized solutions is studied, and the existence of solutions to the continuous-time system is shown as a consequence. Several circuits examples illustrate the applicability and the theoretical developments.
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https://hal.inria.fr/hal-03264720
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Submitted on : Friday, June 18, 2021 - 2:45:29 PM
Last modification on : Friday, February 4, 2022 - 3:34:43 AM
Long-term archiving on: : Sunday, September 19, 2021 - 6:46:31 PM

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  • HAL Id : hal-03264720, version 1

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Bernard Brogliato. Analysis of the implicit Euler time-discretization of a class of descriptor-variable linear cone complementarity systems. Journal of Convex Analysis, Heldermann, In press, 29 (2). ⟨hal-03264720⟩

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