TY  - JOUR
Y1  - 2001/07//
ID  - eprints457
JF  - Automatica
SN  - 0005-1098
UR  - http://www.sciencedirect.com/science/article/pii/S0005109801000590
PB  - Elsevier
KW  - Hybrid systems; Piecewise affine systems; Equivalent models
A1  - Heemels, W.P.M.H.
A1  - De Schutter, Bart
A1  - Bemporad, Alberto
N2  - This paper establishes equivalences among five classes of hybrid systems: mixed logical dynamical (MLD) systems, linear complementarity (LC) systems, extended linear complementarity (ELC) systems, piecewise affine (PWA) systems, and max-min-plus-scaling (MMPS) systems. Some of the equivalences are established under (rather mild) additional assumptions. These results are of paramount importance for transferring theoretical properties and tools from one class to another, with the consequence that for the study of a particular hybrid system that belongs to any of these classes, one can choose the most convenient hybrid modeling framework.
IS  - 7
TI  - Equivalence of hybrid dynamical models
VL  - 37
AV  - none
SP  - 1085
EP  - 1091
ER  -