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Journal Articles Journal of Convex Analysis Year : 2022

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

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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Dates and versions

hal-03264720 , version 1 (18-06-2021)
hal-03264720 , version 2 (24-01-2024)

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  • HAL Id : hal-03264720 , version 2

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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, 2022, 29 (2), pp.481-517. ⟨hal-03264720v2⟩
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