Steven L. Brunton's Books

Dynamic Mode Decomposition

Data-Driven Modeling of Complex Systems

By: J. Nathan Kutz,Steven L. Brunton,Bingni W. Brunton,Joshua L. Proctor

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Dynamic Mode Decomposition

Data-Driven Modeling of Complex Systems

By: J. Nathan Kutz,Steven L. Brunton,Bingni W. Brunton,Joshua L. Proctor

Data-driven dynamical systems is a burgeoning field?it connects how measurements of nonlinear dynamical systems and/or complex systems can be used with well-established methods in dynamical systems theory. This is a critically important new direction because the governing equations of many problems under consideration by practitioners in various scientific fields are not typically known. Thus, using data alone to help derive, in an optimal sense, the best dynamical system representation of a given application allows for important new insights. The recently developed dynamic mode decomposition (DMD) is an innovative tool for integrating data with dynamical systems theory. The DMD has deep connections with traditional dynamical systems theory and many recent innovations in compressed sensing and machine learning. Dynamic Mode Decomposition: Data-Driven Modeling of Complex Systems, the first book to address the DMD algorithm, presents a pedagogical and comprehensive approach to all aspects of DMD currently developed or under development; blends theoretical development, example codes, and applications to showcase the theory and its many innovations and uses; highlights the numerous innovations around the DMD algorithm and demonstrates its efficacy using example problems from engineering and the physical and biological sciences; and provides extensive MATLAB code, data for intuitive examples of key methods, and graphical presentations.

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Page Count

241

Publisher

SIAM

Published Date

ISBN 10

161197450X

ISBN 13

9781611974508

Data-Driven Science and Engineering

Machine Learning, Dynamical Systems, and Control

By: Steven L. Brunton,J. Nathan Kutz

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Data-Driven Science and Engineering

Machine Learning, Dynamical Systems, and Control

By: Steven L. Brunton,J. Nathan Kutz

A textbook covering data-science and machine learning methods for modelling and control in engineering and science, with Python and MATLAB®.

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Page Count

615

Publisher

Cambridge University Press

Published Date

ISBN 10

1009098489

ISBN 13

9781009098489

Machine Learning Control – Taming Nonlinear Dynamics and Turbulence

By: Thomas Duriez,Steven L. Brunton,Bernd R. Noack

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Machine Learning Control – Taming Nonlinear Dynamics and Turbulence

By: Thomas Duriez,Steven L. Brunton,Bernd R. Noack

This is the first textbook on a generally applicable control strategy for turbulence and other complex nonlinear systems. The approach of the book employs powerful methods of machine learning for optimal nonlinear control laws. This machine learning control (MLC) is motivated and detailed in Chapters 1 and 2. In Chapter 3, methods of linear control theory are reviewed. In Chapter 4, MLC is shown to reproduce known optimal control laws for linear dynamics (LQR, LQG). In Chapter 5, MLC detects and exploits a strongly nonlinear actuation mechanism of a low-dimensional dynamical system when linear control methods are shown to fail. Experimental control demonstrations from a laminar shear-layer to turbulent boundary-layers are reviewed in Chapter 6, followed by general good practices for experiments in Chapter 7. The book concludes with an outlook on the vast future applications of MLC in Chapter 8. Matlab codes are provided for easy reproducibility of the presented results. The book includes interviews with leading researchers in turbulence control (S. Bagheri, B. Batten, M. Glauser, D. Williams) and machine learning (M. Schoenauer) for a broader perspective. All chapters have exercises and supplemental videos will be available through YouTube.

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Page Count

229

Publisher

Springer

Published Date

ISBN 10

3319406248

ISBN 13

9783319406244

Dynamic Mode Decomposition

Data-Driven Modeling of Complex Systems

By: J. Nathan Kutz,Steven L. Brunton,Bingni W. Brunton,Joshua L. Proctor

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Dynamic Mode Decomposition

Data-Driven Modeling of Complex Systems

By: J. Nathan Kutz,Steven L. Brunton,Bingni W. Brunton,Joshua L. Proctor

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Solve jigsaw puzzle

Age

Page Count

241

Publisher

SIAM

Published Date

ISBN 10

1611974496

ISBN 13

9781611974492

Book's by Steven L. Brunton

Dynamic Mode Decomposition

Dynamic Mode Decomposition

Data-Driven Science and Engineering

Data-Driven Science and Engineering

Machine Learning Control – Taming Nonlinear Dynamics and Turbulence

Machine Learning Control – Taming Nonlinear Dynamics and Turbulence

Dynamic Mode Decomposition

Dynamic Mode Decomposition

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