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Reports (Research Report) Year : 2004

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.
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Dates and versions

inria-00070762 , version 1 (19-05-2006)

Identifiers

  • HAL Id : inria-00070762 , version 1

Cite

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⟩
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