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SOLUTION CONCEPTS FOR HYBRID DYNAMICAL SYSTEMS
M.K. Çamhbel* W.P.M.H. Heemels† A.J. van der Schaft‡
J.M. Schumacher§
* Dept. Math., Groningen Univ., P.O. Box 800, 9700 AV Groningen.
k.camlibel@math.rug.nl
† Dept. Electr. Eng., Eindhoven Univ. Technology, P.O. Box 513, 5600
MB Eindhoven. w.p.m.h.heemels@tue.nl
‡ Fac. Math. Sciences, Twente Univ., P.O. Box 217, Enschede.
a.j.vanderschaft@math.utwente.nl
§ Dept. Econometrics and Oper. Research, Tilburg University, P.O. Box
90153, 5000 LE Tilburg. j.m.schumacher@kub.nl
The recent interest in hybrid systems has given rise to a large variety of model classes and to many different notions of solution trajectories. In this paper we enumerate several solution concepts and compare them on the basis of some examples displaying Zeno behaviour. The relation to well-posedness is also discussed.
Keywords: Hybrid systems, solution concepts, well-posedness, Zeno behaviour
Session slot T-Th-A06: Behaviour and optimal control of hybrid systems/Area code 5c : Computer Aided Control Systems Design
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