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Article Dans Une Revue SIAM Journal on Control and Optimization Année : 2022

Analysis of the implicit Euler time-discretization of semi-explicit differential-algebraic linear complementarity systems

Résumé

This article is largely concerned with the time-discretization of differential-algebraic equations (DAE) with complementarity constraints, which we name differential algebraic linear complementarity systems (DALCS). Specifically, the Euler implicit discretization of DALCS is analysed: the one-step non-smooth problem (OSNSP), that is a generalized equation, is shown to be wellposed 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. Passivity of some operators is pivotal to the analysis. Examples from circuits, mechanics and switching DAE illustrate the applicability of the developments.
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Dates et versions

hal-03606276 , version 1 (11-03-2022)
hal-03606276 , version 2 (11-04-2022)

Identifiants

Citer

Bernard Brogliato. Analysis of the implicit Euler time-discretization of semi-explicit differential-algebraic linear complementarity systems. SIAM Journal on Control and Optimization, 2022, 60 (4), pp.2159-2183. ⟨10.1137/21M1396101⟩. ⟨hal-03606276v2⟩
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