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Well-posedness results for non-autonomous dissipative complementarity systems

Abstract : This paper deals with the well-posedness of a class of nonsmooth dynamical systems: dissipative complementarity systems. Both the linear and the nonlinear cases are treated, and the systems are non-autonomous. The dissipativity property is used to perform a particular change of state vector which allows one to transform the dynamics into a perturbed Moreau's sweeping process. As an example an electrical circuit with ideal diodes is presented.
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https://hal.inria.fr/inria-00079220
Contributor : Rapport de Recherche Inria <>
Submitted on : Tuesday, June 13, 2006 - 10:42:38 AM
Last modification on : Friday, June 26, 2020 - 4:56:01 PM
Long-term archiving on: : Thursday, September 23, 2010 - 4:13:08 PM

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  • HAL Id : inria-00079220, version 3

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Bernard Brogliato, Lionel Thibault. Well-posedness results for non-autonomous dissipative complementarity systems. [Research Report] RR-5931, INRIA. 2006. ⟨inria-00079220v3⟩

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