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 language | English |
|---|---|
| Pages (from-to) | 45-51 |
| Journal | Systems and Control Letters |
| Volume | 55 |
| DOIs | |
| Publication status | Published - 1 Jan 2006 |
Keywords
- Complementarity systems
- Differential inclusions
- Hybrid dynamical systems
- Projected dynamics
- Unilateral dynamics
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Cite this
Brogliato, B., Daniilidis, A., Lemaréchal, C., & Acary, V. (2006). On the equivalence between complementarity systems, projected systems and differential inclusions. Systems and Control Letters, 55, 45-51. https://doi.org/10.1016/j.sysconle.2005.04.015