The study of the dynamics of non-smooth systems is becoming a fashionable topic in the scienti?c community. A look at the programs of international conferences from the past few years reveals a rapidly increasing interest inMoreThe study of the dynamics of non-smooth systems is becoming a fashionable topic in the scienti?c community.
A look at the programs of international conferences from the past few years reveals a rapidly increasing interest in non-smoothsystems.Non-smoothmodelsappearinmanydi?erentdisciplines. Mechanical engineers study stick-slip oscillations in systems with dry friction andthedynamicsofimpactphenomena.Electricalcircuitscontaindiodesand transistors, which ideally behave in a non-smooth way. Control theorists have to deal with switching control laws. Similar problems of switching systems arise in air tra?c management, economic models of markets and scheduling of automatedrailwaysystems.Althoughtheseexamplescomefromverydi?erent ?elds, themathematicalstructureandtherelatedquestionsofinterestarevery similar.
In particular, the time evolution is often described by non-smooth di?erential equations or (measure) di?erential inclusions with possible state re-initializations. Our interest in non-smooth systems, which has led us to write a book on this topic, has originated in di?erent ways.
The ?rst author conducted his MSc. research project at Shell Research (Rijswijk, The Netherlands) on t- sional stick-slip vibrations in oilwell drillstrings, which initiated his interest in non-smooth mechanical systems, and went more deeply into the subject d- ing his Ph.D. research under the supervision of Professor Dick van Campen