Geodesic
Analysis of the Implicit Euler Time-Discretization of a Class of Descriptor-Variable Linear Cone Complementarity Systems
Journal of convex analysis, Tome 29 (2022) no. 2, pp. 481-517
Cet article a éte moissonné depuis la source Heldermann Verlag

Voir la notice de l'article

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.
Classification : 65K15, 94C60, 49J53, 34A09, 34A12, 34A60
Mots-clés : Differential-algebraic system, descriptor-variable system, linear complementarity system, sweeping process, recession function, Euler discretisation, well-posedness, passive system 
@article{JCA_2022_29_2_JCA_2022_29_2_a10,
     author = {B. Brogliato},
     title = {Analysis of the {Implicit} {Euler} {Time-Discretization} of a {Class} of {Descriptor-Variable} {Linear} {Cone} {Complementarity} {Systems}},
     journal = {Journal of convex analysis},
     pages = {481--517},
     year = {2022},
     volume = {29},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JCA_2022_29_2_JCA_2022_29_2_a10/}
}
TY  - JOUR
AU  - B. Brogliato
TI  - Analysis of the Implicit Euler Time-Discretization of a Class of Descriptor-Variable Linear Cone Complementarity Systems
JO  - Journal of convex analysis
PY  - 2022
SP  - 481
EP  - 517
VL  - 29
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/JCA_2022_29_2_JCA_2022_29_2_a10/
ID  - JCA_2022_29_2_JCA_2022_29_2_a10
ER  - 
%0 Journal Article
%A B. Brogliato
%T Analysis of the Implicit Euler Time-Discretization of a Class of Descriptor-Variable Linear Cone Complementarity Systems
%J Journal of convex analysis
%D 2022
%P 481-517
%V 29
%N 2
%U http://geodesic.mathdoc.fr/item/JCA_2022_29_2_JCA_2022_29_2_a10/
%F JCA_2022_29_2_JCA_2022_29_2_a10
B. Brogliato. Analysis of the Implicit Euler Time-Discretization of a Class of Descriptor-Variable Linear Cone Complementarity Systems. Journal of convex analysis, Tome 29 (2022) no. 2, pp. 481-517. http://geodesic.mathdoc.fr/item/JCA_2022_29_2_JCA_2022_29_2_a10/