Reference:
A. Bemporad,
M.K. Çamlibel,
W.P.M.H. Heemels,
A.J. van der Schaft,
J.M. Schumacher, and
B. De Schutter,
"Further switched systems," Chapter 5 in Handbook of Hybrid
Systems Control - Theory, Tools, Applications (J. Lunze and F.
Lamnabhi-Lagarrigue, eds.), Cambridge, UK: Cambridge University Press,
ISBN 978-0-521-76505-3, pp. 139-192, 2009.
Abstract:
Mixed logical dynamical systems and linear complementarity systems are
representations of switched systems, which under the conditions
described here are equivalent to piecewise affine systems. They are
particularly useful for model-predictive control. The equivalences of
several hybrid system models show that different models, which are
suitable for specific analysis and design problems and have been
investigated in detail, cover the same class of hybrid systems. The
analysis of the well-posedness of the models leads to conditions on
the model equations under which a unique solution exists.
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