@inbook{1b4eddac238a4d2fb6719ede67cfbcf7,

title = "Introduction to the Koopman operator in systems and control theory",

abstract = "The introductory chapter provides an overview of the Koopman operator framework. We present basic notion and definitions, including those related to the spectral properties of the operator. We also review numerical methods that are used to represent the operator on a finite-dimensional basis and to compute its spectral properties from data (DMD algorithm and Arnoldi-based methods). Finally, several extensions of the Koopman operator to input-ouput systems are reviewed.",

author = "Alexandre Mauroy and Yoshihiko Susuki and Igor Mezi{\'c}",

year = "2020",

language = "English",

isbn = "978-3-030-35712-2",

series = "Lecture Notes in Control and Information Sciences",

publisher = "Springer",

pages = "3--33",

editor = "Alexandre Mauroy and Igor Mezic and Yoshihiko Susuki",

booktitle = "The Koopman Operator in Systems and Control",

}