Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
753352 | Systems & Control Letters | 2006 | 7 Pages |
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.
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Authors
B. Brogliato, A. Daniilidis, C. Lemaréchal, V. Acary,