A central theme in the study of dynamic systems is the modelling and
control of uncertain systems. While 'uncertainty' has long been a strong
motivating factor behind many techniques developed in the modelling,
control, statistics and mathematics communities, the past decade, in
particular, has witnessed remarkable progress in this area with the
emergence of a number of powerful
newmethodsforbothmodellingandcontrollinguncertaindynamicsystems. The
speci?c objective of this book is to describe and review some of these
exciting new approaches within a single volume. Our approach was to
invite some of the leading researchers in this area to contribute to
this book by submitting both tutorial papers on their speci?c area of
research, and to submit more focussed research papers to document some
of the latest results in the area. We feel that collecting some of the
main results together in this manner is particularly important as many
of the important ideas that emerged in the past decade were derived in a
variety of academic disciplines. By providing both tutorial and
researchpaperswehopetobeabletoprovidetheinterestedreaderwithsu?cient
background to appreciate some of the main concepts from a variety of
related, but nevertheless distinct ?elds, and to provide a ?avor of how
these results are currently being used to cope with 'uncertainty. ' It
is our sincere hope that the availability of these results within a
single volume will lead to further cro- fertilization of ideas and act
as a spark for further research in this important area of applied
mathematics.