Higher order Moreau's sweeping process: Mathematical formulation and numerical simulation

Abstract : In this paper we present an extension of Moreau's sweeping process for higher order systems. The dynamical framework is carefully introduced, qualitative, dissipativity, stability, existence, regularity and uniqueness results are given. The time-discretization of these nonsmooth systems with a time-stepping algorithm is also presented. This differential inclusion can be seen as a mathematical formulation of complementarity dynamical systems with arbitrary dimension and arbitrary relative degree between the complementary-slackness variables. Applications of such high-order sweeping processes can be found in dynamic optimization under state constraints and electrical circuits with ideal diodes.
Document type :
Journal articles
Complete list of metadatas

Cited literature [72 references]  Display  Hide  Download

https://hal.inria.fr/inria-00423566
Contributor : Vincent Acary <>
Submitted on : Sunday, October 29, 2017 - 4:23:45 PM
Last modification on : Thursday, March 28, 2019 - 11:24:11 AM
Long-term archiving on : Tuesday, January 30, 2018 - 12:17:10 PM

File

VABBDG.pdf
Files produced by the author(s)

Identifiers

Citation

Vincent Acary, Bernard Brogliato, Daniel Goeleven. Higher order Moreau's sweeping process: Mathematical formulation and numerical simulation. Mathematical Programming, Springer Verlag, 2008, 113 (1), pp.133-217. ⟨10.1007/s10107-006-0041-0⟩. ⟨inria-00423566⟩

Share

Metrics

Record views

699

Files downloads

196