On the equivalence of classes of hybrid dynamical models
W.P.M.H. Heemels, B. De Schutter, A. Bemporad · Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228) · 2002
We establish equivalences among five classes of hybrid systems, that we have encountered in previous research: mixed logical dynamical systems, linear complementarity systems, extended linear complementarity systems, piecewise affine systems, and max-min-plus-scaling systems. These results are of paramount importance for transferring properties and tools from one class to another.