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

@article{Brogliato2006OnTE,
  title={On the equivalence between complementarity systems, projected systems and differential inclusions},
  author={Bernard Brogliato and Aris Daniilidis and Claude Lemar{\'e}chal and Vincent Acary},
  journal={Systems & Control Letters},
  year={2006},
  volume={55},
  pages={45-51}
}
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… CONTINUE READING
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