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Journal Articles Journal of Convex Analysis Year : 2010

Existence and Uniqueness of Solutions for Non-Autonomous Complementarity Dynamical Systems

Abstract

This paper deals with the well-posedness of a class of complementarity dynamical systems. Both the linear and the nonlinear cases are treated, and the systems are non-autonomous. A specific "inputoutput" property is used to perform a change of state vector which allows one to transform the complementarity dynamics into a perturbed Moreau's sweeping process. Then the results obtained elsewhere by Thibault and his co-workers [16, 15, 40] on the well-posedness of the sweeping process are used. Absolutely continuous as well as bounded variation solutions (with state jumps) are examined in this work.
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Dates and versions

hal-00756226 , version 1 (03-11-2017)

Identifiers

  • HAL Id : hal-00756226 , version 1

Cite

Bernard Brogliato, Lionel Thibault. Existence and Uniqueness of Solutions for Non-Autonomous Complementarity Dynamical Systems. Journal of Convex Analysis, 2010, 17 (3&4), pp.961-990. ⟨hal-00756226⟩
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