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.
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Soumis le : dimanche 29 octobre 2017 - 02:23:21
Dernière modification le : jeudi 11 janvier 2018 - 06:21:53

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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. 〈http://www.springerlink.com/content/w4645w085507q71k/?p=b757e3d99d1c414f98b5c7084bddf80c&pi=9〉. 〈10.1007/s10107-006-0041-0〉. 〈hal-01625787〉

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