Well-posedness of the complementarity class of hybrid systems


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Heemels, W.P.M.H. and Camlıbel, M.K. and Schaft van der, A.J. and Schumacher, J.M. (2002) Well-posedness of the complementarity class of hybrid systems. In: 15th IFAC World Congress, 21-26 July 2002, Barcelona, Spain.

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Abstract:One of the most fundamental properties of any class of dynamical systems is the study of well-posedness, i.e. the existence and uniqueness of a particular type of solution trajectories given an initial state. In case of interaction between continuous dynamics and discrete transitions this issue becomes highly non-trivial. In this survey an overview is given of the well-posedness results for complementarity systems, which form a class of hybrid systems described by the interconnection of di?erential equations and a speci?c combination of inequalities and Boolean expressions as appearing in the linear complementarity problem of mathematical programming.
Item Type:Conference or Workshop Item
Copyright:© 2002 IFAC
Faculty:
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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Link to this item:http://purl.utwente.nl/publications/69132
Official URL:http://www.ifac-papersonline.net/Detailed/26189.html
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