The beginning of the 21st century can be characterized as the"
time-delay boom" leading to numerous important results. The purpose of
this book is two-fold, to familiarize the non-expert reader with
time-delay systems and to provide a systematic treatment of modern ideas
and techniques for experts. This book is based on the course
"Introduction to time-delay systems" for graduate students in
Engineering and Applied Mathematics that the author taught in Tel Aviv
University in 2011-2012 and 2012-2013 academic years. The sufficient
background to follow most of the material are the undergraduate courses
in mathematics and an introduction to control. The book leads the reader
from some basic classical results on time-delay systems to recent
developments on Lyapunov-based analysis and design with applications to
the hot topics of sampled-data and network-based control. The objective
is to provide useful tools that will allow the reader not only to apply
the existing methods, but also to develop new ones. It should be of
interest for researchers working in the field, for graduate students in
engineering and applied mathematics, and for practicing engineers. It
may also be used as a textbook for a graduate course on time-delay
systems.