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Igor Mezić The Koopman Operator in Systems and Control (Hardback)

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Book Title
Koopman Operator in Systems and Control : concepts, Methodologies and Applications
Publication Name
The Koopman Operator in Systems and Control
Title
The Koopman Operator in Systems and Control
Subtitle
Concepts, Methodologies, and Applications
Author
Igor Mezić
Contributor
Alexandre Mauroy (Edited by)
Format
Hardcover
EAN
9783030357122
ISBN
9783030357122
Edition
1st ed. 2020
Publisher
Springer International Publishing A&G
Genre
Technology & Engineering, Science, Mathematics
Topic
System Theory, Electrical, Applied
Release Year
2020
Release Date
23/02/2020
Language
English
Country/Region of Manufacture
CH
Item Height
235mm
Item Length
9.3in
Series
Lecture Notes in Control and Information Sciences
Publication Year
2020
Item Width
6.1in
Item Weight
36.2 Oz
Number of Pages
Xxiii, 556 Pages

關於產品

Product Information

This book provides a broad overview of state-of-the-art research at the intersection of the Koopman operator theory and control theory. It also reviews novel theoretical results obtained and efficient numerical methods developed within the framework of Koopman operator theory. The contributions discuss the latest findings and techniques in several areas of control theory, including model predictive control, optimal control, observer design, systems identification and structural analysis of controlled systems, addressing both theoretical and numerical aspects and presenting open research directions, as well as detailed numerical schemes and data-driven methods. Each contribution addresses a specific problem. After a brief introduction of the Koopman operator framework, including basic notions and definitions, the book explores numerical methods, such as the dynamic mode decomposition (DMD) algorithm and Arnoldi-based methods, which are used to represent the operator in a finite-dimensional basis and to compute its spectral properties from data. The main body of the book is divided into three parts: theoretical results and numerical techniques for observer design, synthesis analysis, stability analysis, parameter estimation, and identification; data-driven techniques based on DMD, which extract the spectral properties of the Koopman operator from data for the structural analysis of controlled systems; and Koopman operator techniques with specific applications in systems and control, which range from heat transfer analysis to robot control. A useful reference resource on the Koopman operator theory for control theorists and practitioners, the book is also of interest to graduate students, researchers, and engineers looking for an introduction to a novel and comprehensive approach to systems and control, from pure theory to data-driven methods.

Product Identifiers

Publisher
Springer International Publishing A&G
ISBN-10
3030357120
ISBN-13
9783030357122
eBay Product ID (ePID)
8038548637

Product Key Features

Book Title
Koopman Operator in Systems and Control : concepts, Methodologies and Applications
Author
Igor Mezić
Format
Hardcover
Language
English
Topic
System Theory, Electrical, Applied
Publication Year
2020
Genre
Technology & Engineering, Science, Mathematics
Number of Pages
Xxiii, 556 Pages

Dimensions

Item Length
9.3in
Item Width
6.1in
Item Weight
36.2 Oz

Additional Product Features

Series Volume Number
484
Number of Volumes
1 Vol.
Lc Classification Number
Tj212-225
Table of Content
Part I: Control Design, Observation, and Identification.- Linear Observer Synthesis for Nonlinear Systems.- Linear Predictors for Nonlinear Dynamical Systems.- Global Stability Analysis.- Pulse-based Optimal Control.- Parameter Estimation and Identification of Nonlinear Systems.- Koopman Spectrum and Stability of Cascaded Dynamical Systems.- Open and Closed Loop Control of PDEs via Switched Systems and Koopman operator based reduced order models.- Part II: Data-Driven Analysis.- Data-driven Approximations of Dynamical Systems Operators for Control.- Operator Theoretic-based Data-driven Approach for Optimal Stabilization of Nonlinear System.- Manifold Learning for Data-Driven Dynamical Systems Analysis.- Use of Data-Driven Koopman Spectrum Computation and Delay Embedding.- Part III: Applications.- Modeling of Advective Heat Transfer in a Practical Building Atrium via Koopman Mode Decomposition.- Phase-amplitude Reduction of Limit-cycling Systems.- Exploiting Effectsof Network Topology on Performance in Nonlinear Consensus Networks.- Koopman Operators in Embedded Control.
Copyright Date
2020
Series
Lecture Notes in Control and Information Sciences Ser.
Illustrated
Yes

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