On the equivalence between complementarity systems, projected systems and differential inclusions

B. Brogliato, A. Daniilidis, C. Lemaréchal, V. Acary

Research output: Contribution to journalArticleResearchpeer-review

86 Citations (Scopus)

Abstract

In this note, we prove the equivalence, under appropriate conditions, between several dynamical formalisms: projected dynamical systems, two types of differential inclusions, and a class of complementarity dynamical systems. Each of these dynamical systems can also be considered as a hybrid dynamical system. This work both generalizes previous results and sheds some new light on the relationship between known formalisms; besides, it exclusively uses tools from convex analysis. © 2005 Elsevier B.V. All rights reserved.
Original languageEnglish
Pages (from-to)45-51
JournalSystems and Control Letters
Volume55
DOIs
Publication statusPublished - 1 Jan 2006

Keywords

  • Complementarity systems
  • Differential inclusions
  • Hybrid dynamical systems
  • Projected dynamics
  • Unilateral dynamics

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