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Reports (Research Report) Year : 2006

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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Dates and versions

inria-00079220 , version 1 (09-06-2006)
inria-00079220 , version 2 (12-06-2006)
inria-00079220 , version 3 (13-06-2006)

Identifiers

  • HAL Id : inria-00079220 , version 3

Cite

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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