Preservation of the dissipativity properties of a class of nonsmooth dynamical systems with the (θ,γ)-algorithm

Scott Greenhalgh; Vincent Acary; Bernard Brogliato

inria-00596961, version 1

Preservation of the dissipativity properties of a class of nonsmooth dynamical systems with the (θ,γ)-algorithm

Scott Greenhalgh ¹, Vincent Acary () ¹, Bernard Brogliato ()^a^, 1

N° RR-7632 (2011)

Résumé : In this work we study the following problem: given a numerical method (an extended θ−method named the (θ,γ)-method), find the class of dissipative linear complementarity sys- tems such that their discrete-time counterpart is still dissipative, with the same storage (energy) function, supply rate (reciprocal variables), and dissipation function. Systems with continuous so- lutions, and with state jumps are studied. The notion of numerical dissipation is given a rigorous meaning.

a – INRIA
1 : BIPOP (INRIA Grenoble Rhône-Alpes / LJK Laboratoire Jean Kuntzmann)
INRIA – Laboratoire Jean Kuntzmann

inria-00596961, version 1
http://hal.inria.fr/inria-00596961
oai:hal.inria.fr:inria-00596961
Contributeur : Vincent Acary <>
Soumis le : Lundi 30 Mai 2011, 16:28:10
Dernière modification le : Lundi 30 Mai 2011, 16:29:41

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