Management
The Mathematics of Networks of Linear Systems
In this introductory chapter, the subject of the book is explained in more detail by focusing on two central issues of the control of networks: open-loop control of interconnected systems and synchronization. While the first topic emphasizes the computational aspects involved in controlling interconnected systems, the second theme of synchronization discusses the impact of couplings on the shaping of macroscopic properties that are pertinent in self-organizing systems. Instead of aiming for a more complete analysis, which is postponed to later chapters of the book, we confine ourselves to the discussion of some illustrative examples. At the end of the chapter the main new achievements of this book will be discussed and a brief overview of the contents presented.
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