This book provides the mathematical foundations of networks of linear control systems
developed from an algebraic systems theory perspective. This includes a thorough treatment of
questions of controllability observability realization theory as well as feedback control
and observer theory. The potential of networks for linear systems in controlling large-scale
networks of interconnected dynamical systems could provide insight into a diversity of
scientific and technological disciplines. The scope of the book is quite extensive ranging
from introductory material to advanced topics of current research making it a suitable
reference for graduate students and researchers in the field of networks of linear systems.
Part I can be used as the basis for a first course in Algebraic System Theory while Part II
serves for a second advanced course on linear systems. Finally Part III which is largely
independent of the previous parts is ideally suited for advanced research seminars aimed at
preparing graduate students for independent research. Mathematics of Networks of Linear Systems
contains a large number of exercises and examples throughout the text making it suitable for
graduate courses in the area.
