Well-Posedness of Passive Time-Varying Linear Cone Complementarity Systems

This article provides sufficient conditions to ensure the existence and uniqueness of absolutely continuous and bounded variation solutions of a family of time-dependent nonsmooth systems named time-varying linear cone complementarity systems. Passivity is a key property. Nonsmooth circuits illustrate the theoretical results.

Mots clés

Linear complementarity system time-varying linear cone complementarity system first-order sweeping process well-posedness linear complementarity problem set-valued mapping maximal monotone operator time-dependent differential inclusion passive system

Domaines

Systèmes dynamiques [math.DS]

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Report_Quang_Hung.pdf (1.48 Mo)

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Bernard Brogliato : Connectez-vous pour contacter le contributeur

https://inria.hal.science/hal-04551029

Soumis le : jeudi 18 avril 2024-11:26:23

Dernière modification le : mercredi 20 novembre 2024-03:08:01

Dates et versions

hal-04551029 , version 1 (18-04-2024)

hal-04551029 , version 2 (16-11-2024)

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Paternité

Identifiants

HAL Id : hal-04551029 , version 1

Citer

Quang Hung Pham, Bernard Brogliato, Félix Miranda-Villatoro. Well-Posedness of Passive Time-Varying Linear Cone Complementarity Systems. Journal of Convex Analysis, In press. ⟨hal-04551029v1⟩

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