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¬The¬ Koopman Operator in Systems and Control: Concepts, Methodologies, and Applications
Kategorie Beschreibung
036aXA-DE
037beng
077a1689272171 Erscheint auch als (Druck-Ausgabe): ‡¬The¬ Koopman operator in systems and control
087q978-3-030-35712-2
087q978-3-030-35714-6
087q978-3-030-35715-3
100bMauroy, Alexandre ¬[HerausgeberIn]¬
104bMezić, Igor ¬[HerausgeberIn]¬
108bSusuki, Yoshihiko ¬[HerausgeberIn]¬
331 ¬The¬ Koopman Operator in Systems and Control
335 Concepts, Methodologies, and Applications
403 1st ed. 2020.
410 Cham
410 Cham
412 Springer International Publishing
412 Imprint: Springer
425 2020
425 2020
425a2020
433 1 Online-Ressource(XXIII, 556 p. 138 illus., 85 illus. in color.)
451 Lecture Notes in Control and Information Sciences ; 484
527 Erscheint auch als (Druck-Ausgabe)ISBN: 978-3-030-35712-2
527 Erscheint auch als (Druck-Ausgabe)ISBN: 978-3-030-35714-6
527 Erscheint auch als (Druck-Ausgabe)ISBN: 978-3-030-35715-3
527 Erscheint auch als (Druck-Ausgabe): ‡¬The¬ Koopman operator in systems and control
540aISBN 978-3-030-35713-9
700 |TJFM
700 |TEC004000
700b|629.8
700g1271518686 SK 970
750 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 Effects of Network Topology on Performance in Nonlinear Consensus Networks -- Koopman Operators in Embedded Control.
753 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.
902s 210396792 Kompositionsoperator
902s 209550473 Regelungstheorie
012 1691532630
081 ¬The¬ Koopman Operator in Systems and Control
100 Springer E-Book
125aElektronischer Volltext - Campuslizenz
655e$uhttps://doi.org/10.1007/978-3-030-35713-9
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