Abstract

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.

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Keywords

  • 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

Mathematics Subject Classification

34K09, 90C33

Suggested citation

Q. H. Pham, B. Brogliato, F. A. Miranda-Villatoro. “Well-Posedness of Passive Time-Varying Linear Cone Complementarity Systems.” Journal of Convex Analysis 32 (2025), No. 3, 681–722. https://doi.org/10.68381/jca32034

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Published by Heldermann Verlag, 2025. Rights now held by Banach Press.