Dynamic Mode Decomposition

Data-Driven Modeling of Complex Systems

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

Publisher: SIAM

ISBN: 1611974496

Category: Science

Page: 234

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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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Data-Driven Modeling & Scientific Computation

Methods for Complex Systems & Big Data

Author: J. Nathan Kutz

Publisher: Oxford University Press

ISBN: 0199660336

Category: Computers

Page: 638

View: 1014

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Combining scientific computing methods and algorithms with modern data analysis techniques, including basic applications of compressive sensing and machine learning, this book develops techniques that allow for the integration of the dynamics of complex systems and big data. MATLAB is used throughout for mathematical solution strategies.
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Data-Driven Science and Engineering

Machine Learning, Dynamical Systems, and Control

Author: Steven L. Brunton,J. Nathan Kutz

Publisher: Cambridge University Press

ISBN: 1108422098

Category: Computers

Page: 500

View: 2988

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This beginning graduate textbook teaches data science and machine learning methods for modeling, prediction, and control of complex systems.
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Technology and Science for the Ships of the Future

Proceedings of NAV 2018: 19th International Conference on Ship & Maritime Research

Author: A. Marinò,V. Bucci

Publisher: IOS Press

ISBN: 1614998701

Category: Technology & Engineering

Page: 1076

View: 8590

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In 1974, a scientific conference covering marine automation group and large vessels issues was organized under the patronage of the Technical Naval Studies Centre (CETENA) and the Italian National Research Council (CNR). A later collaboration with the Marine Technical Association (ATENA) led to the renaming of the conference as NAV, extending the topics covered to the technical field previously covered by ATENA national conferences. The NAV conference is now held every 3 years, and attracts specialists from all over the world. This book presents the proceedings of NAV 2018, held in Trieste, Italy, in June 2018. The book contains 70 scientific papers, 35 technical papers and 16 reviews, and subjects covered include: comfort on board; conceptual and practical ship design; deep sea mining and marine robotics; protection of the environment; renewable marine energy; design and engineering of offshore vessels; digitalization, unmanned vehicles and cyber security; yacht and pleasure craft design and inland waterway vessels. With its comprehensive coverage of scientific and technical maritime issues, the book will be of interest to all those involved in this important industry.
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Optimization of Complex Systems: Theory, Models, Algorithms and Applications

Author: Hoai An Le Thi,Hoai Minh Le,Tao Pham Dinh

Publisher: Springer

ISBN: 3030218031

Category: Computers

Page: 1152

View: 7452

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This book contains 112 papers selected from about 250 submissions to the 6th World Congress on Global Optimization (WCGO 2019) which takes place on July 8–10, 2019 at University of Lorraine, Metz, France. The book covers both theoretical and algorithmic aspects of Nonconvex Optimization, as well as its applications to modeling and solving decision problems in various domains. It is composed of 10 parts, each of them deals with either the theory and/or methods in a branch of optimization such as Continuous optimization, DC Programming and DCA, Discrete optimization & Network optimization, Multiobjective programming, Optimization under uncertainty, or models and optimization methods in a specific application area including Data science, Economics & Finance, Energy & Water management, Engineering systems, Transportation, Logistics, Resource allocation & Production management. The researchers and practitioners working in Nonconvex Optimization and several application areas can find here many inspiring ideas and useful tools & techniques for their works.
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Modeling, Analysis and Control of Hydraulic Actuator for Forging

Author: Xinjiang Lu,Minghui Huang

Publisher: Springer

ISBN: 9811055831

Category: Technology & Engineering

Page: 228

View: 7326

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This book describes load modeling approaches for complex work pieces and batch forgings, and demonstrates analytical modeling and data-driven modeling approaches for known and unknown complex forging processes. It overcomes the current shortcomings of modeling, analysis and control approaches, presenting contributions in three major areas: In the first, several novel modeling approaches are proposed: a process/shape-decomposition modeling method to help estimate the deformation force; an online probabilistic learning machine for the modeling of batch forging processes; and several data-driven identification and modeling approaches for unknown forging processes under different work conditions. The second area develops model-based dynamic analysis methods to derive the conditions of stability and creep. Lastly, several novel intelligent control methods are proposed for complex forging processes. One of the most serious problems in forging forming involves the inaccurate forging conditions, velocity and position offered by the hydraulic actuator due to the complexity of both the deformation process of the metal work piece and the motion process of the hydraulic actuator. The book summarizes the current weaknesses of modeling, analysis and control approaches. are summarized as follows: a) With the current modeling approaches it is difficult to model complex forging processes with unknown parameters, as they only model the dynamics in local working areas but do not effectively model unknown nonlinear systems across multiple working areas; further, they do not take the batch forging process into account, let alone its distribution modeling. b) All previous dynamic analysis studies simplify the forging system to having a single-frequency pressure fluctuation and neglect the influences of non-linear load force. Further, they fail to take the flow equation in both valves and cylinders into account. c) Conventional control approaches only consider the linear deformation force and pay no attention to sudden changes and the motion synchronization for the multi-cylinder system, making them less effective for complex, nonlinear time-varying forging processes subject to sudden changes.
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Modelling of Multiphysics Systems

Notes and problems from UofT ECE1254H 2014

Author: Peeter Joot

Publisher: Peeter Joot

ISBN: N.A

Category: Science

Page: 300

View: 637

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This document is based on my lecture notes for the Fall 2014, University of Toronto Modeling of Multiphysics course (ECE1254H), taught by Professor P. Triverio. Official course description: “The course deals with the modeling and simulation of physical systems. It introduces the fundamental techniques to generate and solve the equations of a static or dynamic system. Special attention is devoted to complexity issues and to model order reduction methods, presented as a systematic way to simulate highly-complex systems with acceptable computational cost. Examples from multiple disciplines are considered, including electrical/electromagnetic engineering, structural mechanics, fluid-dynamics. Students are encouraged to work on a project related to their own research interests.” Topics: • Automatic generation of system equations (Tableau method, modified nodal analysis). • Solution of linear and nonlinear systems (LU decomposition, conjugate gradient method, sparse systems, Newton-Raphson method). • Solution of dynamical systems (Euler and trapezoidal rule, accuracy, stability). • Model order reduction of linear systems (proper orthogonal decomposition, Krylov methods, truncated balanced realization, stability/dissipativity enforcement). • Modeling from experimental data (system identification, the Vector Fitting algorithm, enforcement of stability and dissipativity).
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Software for Computer Control 1986

Selected Papers from the Fourth IFAC/IFIP Symposium, Graz, Austria, 20-23 May 1986

Author: D. Florian,V. Haase

Publisher: Elsevier

ISBN: 1483298868

Category: Technology & Engineering

Page: 265

View: 3906

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This volume studies the advances of software for computers, their development, applications and management. Topics covered include software project management, real time languages and their uses, and computer aided design techniques. The book also discusses how far artificial intelligence is integrated with business and industry to give a complete overview of the role of computer systems today.
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