TY - JOUR
T1 - On the equivalence between complementarity systems, projected systems and differential inclusions
AU - Brogliato, B.
AU - Daniilidis, A.
AU - Lemaréchal, C.
AU - Acary, V.
PY - 2006/1/1
Y1 - 2006/1/1
N2 - 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.
AB - 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.
KW - Complementarity systems
KW - Differential inclusions
KW - Hybrid dynamical systems
KW - Projected dynamics
KW - Unilateral dynamics
U2 - 10.1016/j.sysconle.2005.04.015
DO - 10.1016/j.sysconle.2005.04.015
M3 - Article
SN - 0167-6911
VL - 55
SP - 45
EP - 51
JO - Systems and Control Letters
JF - Systems and Control Letters
ER -