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, and preliminary well-posedness results are given. The time-discretisation 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 optimisation under state constraints and electrical circuits with ideal diodes.
Document type :
Reports
Complete list of metadatas

https://hal.inria.fr/inria-00070762
Contributor : Rapport de Recherche Inria <>
Submitted on : Friday, May 19, 2006 - 9:33:53 PM
Last modification on : Thursday, March 28, 2019 - 11:24:11 AM
Long-term archiving on : Sunday, April 4, 2010 - 9:51:57 PM

Identifiers

  • HAL Id : inria-00070762, version 1

Collections

Citation

Vincent Acary, Bernard Brogliato, Daniel Goeleven. Higher order Moreau's sweeping process: Mathematical formulation and numerical simulation. [Research Report] RR-5236, INRIA. 2004, pp.60. ⟨inria-00070762⟩

Share

Metrics

Record views

349

Files downloads

335