Approximation of Large-Scale Dynamical Systems

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Publisher : SIAM
ISBN 13 : 0898716586
Total Pages : 489 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Approximation of Large-Scale Dynamical Systems by : Athanasios C. Antoulas

Download or read book Approximation of Large-Scale Dynamical Systems written by Athanasios C. Antoulas and published by SIAM. This book was released on 2009-06-25 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical models are used to simulate, and sometimes control, the behavior of physical and artificial processes such as the weather and very large-scale integration (VLSI) circuits. The increasing need for accuracy has led to the development of highly complex models. However, in the presence of limited computational accuracy and storage capabilities model reduction (system approximation) is often necessary. Approximation of Large-Scale Dynamical Systems provides a comprehensive picture of model reduction, combining system theory with numerical linear algebra and computational considerations. It addresses the issue of model reduction and the resulting trade-offs between accuracy and complexity. Special attention is given to numerical aspects, simulation questions, and practical applications.

Computational Methods for Approximation of Large-Scale Dynamical Systems

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Author :
Publisher : CRC Press
ISBN 13 : 135102860X
Total Pages : 345 pages
Book Rating : 4.3/5 (51 download)

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Book Synopsis Computational Methods for Approximation of Large-Scale Dynamical Systems by : Mohammad Monir Uddin

Download or read book Computational Methods for Approximation of Large-Scale Dynamical Systems written by Mohammad Monir Uddin and published by CRC Press. This book was released on 2019-04-30 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: These days, computer-based simulation is considered the quintessential approach to exploring new ideas in the different disciplines of science, engineering and technology (SET). To perform simulations, a physical system needs to be modeled using mathematics; these models are often represented by linear time-invariant (LTI) continuous-time (CT) systems. Oftentimes these systems are subject to additional algebraic constraints, leading to first- or second-order differential-algebraic equations (DAEs), otherwise known as descriptor systems. Such large-scale systems generally lead to massive memory requirements and enormous computational complexity, thus restricting frequent simulations, which are required by many applications. To resolve these complexities, the higher-dimensional system may be approximated by a substantially lower-dimensional one through model order reduction (MOR) techniques. Computational Methods for Approximation of Large-Scale Dynamical Systems discusses computational techniques for the MOR of large-scale sparse LTI CT systems. Although the book puts emphasis on the MOR of descriptor systems, it begins by showing and comparing the various MOR techniques for standard systems. The book also discusses the low-rank alternating direction implicit (LR-ADI) iteration and the issues related to solving the Lyapunov equation of large-scale sparse LTI systems to compute the low-rank Gramian factors, which are important components for implementing the Gramian-based MOR. Although this book is primarly aimed at post-graduate students and researchers of the various SET disciplines, the basic contents of this book can be supplemental to the advanced bachelor's-level students as well. It can also serve as an invaluable reference to researchers working in academics and industries alike. Features: Provides an up-to-date, step-by-step guide for its readers. Each chapter develops theories and provides necessary algorithms, worked examples, numerical experiments and related exercises. With the combination of this book and its supplementary materials, the reader gains a sound understanding of the topic. The MATLAB® codes for some selected algorithms are provided in the book. The solutions to the exercise problems, experiment data sets and a digital copy of the software are provided on the book's website; The numerical experiments use real-world data sets obtained from industries and research institutes.

Qualitative Analysis of Large Scale Dynamical Systems

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Publisher : Academic Press
ISBN 13 : 0080956432
Total Pages : 307 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Qualitative Analysis of Large Scale Dynamical Systems by : Michel

Download or read book Qualitative Analysis of Large Scale Dynamical Systems written by Michel and published by Academic Press. This book was released on 1977-08-24 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops a unified approach to qualitative analysis of large scale systems described by many diversified types of equations.

Large-Scale System Analysis Under Uncertainty

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Publisher : Cambridge University Press
ISBN 13 : 1107192080
Total Pages : 355 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Large-Scale System Analysis Under Uncertainty by : Alejandro D. Domínguez-García

Download or read book Large-Scale System Analysis Under Uncertainty written by Alejandro D. Domínguez-García and published by Cambridge University Press. This book was released on 2022-02-17 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discover a comprehensive set of tools and techniques for analyzing the impact of uncertainty on large-scale engineered systems. Providing accessible yet rigorous coverage, it showcases the theory through detailed case studies drawn from electric power application problems, including the impact of integration of renewable-based power generation in bulk power systems, the impact of corrupted measurement and communication devices in microgrid closed-loop controls, and the impact of components failures on the reliability of power supply systems. The case studies also serve as a guide on how to tackle similar problems that appear in other engineering application domains, including automotive and aerospace engineering. This is essential reading for academic researchers and graduate students in power systems engineering, and dynamic systems and control engineering.

Uncertain Dynamic Systems

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Publisher : Prentice Hall
ISBN 13 :
Total Pages : 588 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Uncertain Dynamic Systems by : Fred C. Schweppe

Download or read book Uncertain Dynamic Systems written by Fred C. Schweppe and published by Prentice Hall. This book was released on 1973 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stability and Control of Large-Scale Dynamical Systems

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Publisher : Princeton University Press
ISBN 13 : 0691153469
Total Pages : 390 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Stability and Control of Large-Scale Dynamical Systems by : Wassim M. Haddad

Download or read book Stability and Control of Large-Scale Dynamical Systems written by Wassim M. Haddad and published by Princeton University Press. This book was released on 2011-12-04 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern complex large-scale dynamical systems exist in virtually every aspect of science and engineering, and are associated with a wide variety of technological, environmental, and social phenomena. This book develops stability analysis and control design framework for nonlinear large-scale interconnected dynamical systems.

Differential Dynamical Systems, Revised Edition

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Publisher : SIAM
ISBN 13 : 161197464X
Total Pages : 410 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Differential Dynamical Systems, Revised Edition by : James D. Meiss

Download or read book Differential Dynamical Systems, Revised Edition written by James D. Meiss and published by SIAM. This book was released on 2017-01-24 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential equations are the basis for models of any physical systems that exhibit smooth change. This book combines much of the material found in a traditional course on ordinary differential equations with an introduction to the more modern theory of dynamical systems. Applications of this theory to physics, biology, chemistry, and engineering are shown through examples in such areas as population modeling, fluid dynamics, electronics, and mechanics. Differential Dynamical Systems begins with coverage of linear systems, including matrix algebra; the focus then shifts to foundational material on nonlinear differential equations, making heavy use of the contraction-mapping theorem. Subsequent chapters deal specifically with dynamical systems concepts?flow, stability, invariant manifolds, the phase plane, bifurcation, chaos, and Hamiltonian dynamics. This new edition contains several important updates and revisions throughout the book. Throughout the book, the author includes exercises to help students develop an analytical and geometrical understanding of dynamics. Many of the exercises and examples are based on applications and some involve computation; an appendix offers simple codes written in Maple, Mathematica, and MATLAB software to give students practice with computation applied to dynamical systems problems.

Numerical Continuation Methods for Dynamical Systems

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Publisher : Springer
ISBN 13 : 1402063563
Total Pages : 411 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Numerical Continuation Methods for Dynamical Systems by : Bernd Krauskopf

Download or read book Numerical Continuation Methods for Dynamical Systems written by Bernd Krauskopf and published by Springer. This book was released on 2007-11-06 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: Path following in combination with boundary value problem solvers has emerged as a continuing and strong influence in the development of dynamical systems theory and its application. It is widely acknowledged that the software package AUTO - developed by Eusebius J. Doedel about thirty years ago and further expanded and developed ever since - plays a central role in the brief history of numerical continuation. This book has been compiled on the occasion of Sebius Doedel's 60th birthday. Bringing together for the first time a large amount of material in a single, accessible source, it is hoped that the book will become the natural entry point for researchers in diverse disciplines who wish to learn what numerical continuation techniques can achieve. The book opens with a foreword by Herbert B. Keller and lecture notes by Sebius Doedel himself that introduce the basic concepts of numerical bifurcation analysis. The other chapters by leading experts discuss continuation for various types of systems and objects and showcase examples of how numerical bifurcation analysis can be used in concrete applications. Topics that are treated include: interactive continuation tools, higher-dimensional continuation, the computation of invariant manifolds, and continuation techniques for slow-fast systems, for symmetric Hamiltonian systems, for spatially extended systems and for systems with delay. Three chapters review physical applications: the dynamics of a SQUID, global bifurcations in laser systems, and dynamics and bifurcations in electronic circuits.

Multi-Resolution Methods for Modeling and Control of Dynamical Systems

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Author :
Publisher : CRC Press
ISBN 13 : 1584887702
Total Pages : 316 pages
Book Rating : 4.5/5 (848 download)

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Book Synopsis Multi-Resolution Methods for Modeling and Control of Dynamical Systems by : Puneet Singla

Download or read book Multi-Resolution Methods for Modeling and Control of Dynamical Systems written by Puneet Singla and published by CRC Press. This book was released on 2008-08-01 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unifying the most important methodology in this field, Multi-Resolution Methods for Modeling and Control of Dynamical Systems explores existing approximation methods as well as develops new ones for the approximate solution of large-scale dynamical system problems. It brings together a wide set of material from classical orthogonal function

Business Dynamics: Systems Thinking and Modeling for a Complex World with CD-ROM

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Publisher : McGraw-Hill Education
ISBN 13 : 9780072389159
Total Pages : 982 pages
Book Rating : 4.3/5 (891 download)

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Book Synopsis Business Dynamics: Systems Thinking and Modeling for a Complex World with CD-ROM by : John Sterman

Download or read book Business Dynamics: Systems Thinking and Modeling for a Complex World with CD-ROM written by John Sterman and published by McGraw-Hill Education. This book was released on 2000-02-23 with total page 982 pages. Available in PDF, EPUB and Kindle. Book excerpt: Today’s leading authority on the subject of this text is the author, MIT Standish Professor of Management and Director of the System Dynamics Group, John D. Sterman. Sterman’s objective is to explain, in a true textbook format, what system dynamics is, and how it can be successfully applied to solve business and organizational problems. System dynamics is both a currently utilized approach to organizational problem solving at the professional level, and a field of study in business, engineering, and social and physical sciences.

Issues of Fault Diagnosis for Dynamic Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540199687
Total Pages : 632 pages
Book Rating : 4.1/5 (996 download)

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Book Synopsis Issues of Fault Diagnosis for Dynamic Systems by : Ron J. Patton

Download or read book Issues of Fault Diagnosis for Dynamic Systems written by Ron J. Patton and published by Springer Science & Business Media. This book was released on 2000-03-29 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the time our first book Fault Diagnosis in Dynamic Systems: The ory and Applications was published in 1989 by Prentice Hall, there has been a surge in interest in research and applications into reliable methods for diag nosing faults in complex systems. The first book sold more than 1,200 copies and has become the main text in fault diagnosis for dynamic systems. This book will follow on this excellent record by focusing on some of the advances in this subject, by introducing new concepts in research and new application topics. The work cannot provide an exhaustive discussion of all the recent research in fault diagnosis for dynamic systems, but nevertheless serves to sample some of the major issues. It has been valuable once again to have the co-operation of experts throughout the world working in industry, gov emment establishments and academic institutions in writing the individual chapters. Sometimes dynamical systems have associated numerical models available in state space or in frequency domain format. When model infor mation is available, the quantitative model-based approach to fault diagnosis can be taken, using the mathematical model to generate analytically redun dant alternatives to the measured signals. When this approach is used, it becomes important to try to understand the limitations of the mathematical models i. e. , the extent to which model parameter variations occur and the effect of changing the systems point of operation.

Efficient Modeling and Control of Large-Scale Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 144195757X
Total Pages : 350 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Efficient Modeling and Control of Large-Scale Systems by : Javad Mohammadpour

Download or read book Efficient Modeling and Control of Large-Scale Systems written by Javad Mohammadpour and published by Springer Science & Business Media. This book was released on 2010-06-23 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complexity and dynamic order of controlled engineering systems is constantly increasing. Complex large scale systems (where "large" reflects the system’s order and not necessarily its physical size) appear in many engineering fields, such as micro-electromechanics, manufacturing, aerospace, civil engineering and power engineering. Modeling of these systems often result in very high-order models imposing great challenges to the analysis, design and control problems. "Efficient Modeling and Control of Large-Scale Systems" compiles state-of-the-art contributions on recent analytical and computational methods for addressing model reduction, performance analysis and feedback control design for such systems. Also addressed at length are new theoretical developments, novel computational approaches and illustrative applications to various fields, along with: - An interdisciplinary focus emphasizing methods and approaches that can be commonly applied in various engineering fields -Examinations of applications in various fields including micro-electromechanical systems (MEMS), manufacturing processes, power networks, traffic control "Efficient Modeling and Control of Large-Scale Systems" is an ideal volume for engineers and researchers working in the fields of control and dynamic systems.

Dynamic Estimation and Control of Power Systems

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Publisher : Academic Press
ISBN 13 : 0128140062
Total Pages : 264 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Dynamic Estimation and Control of Power Systems by : Abhinav Kumar Singh

Download or read book Dynamic Estimation and Control of Power Systems written by Abhinav Kumar Singh and published by Academic Press. This book was released on 2018-10-04 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamic estimation and control is a fast growing and widely researched field of study that lays the foundation for a new generation of technologies that can dynamically, adaptively and automatically stabilize power systems. This book provides a comprehensive introduction to research techniques for real-time estimation and control of power systems. Dynamic Estimation and Control of Power Systems coherently and concisely explains key concepts in a step by step manner, beginning with the fundamentals and building up to the latest developments of the field. Each chapter features examples to illustrate the main ideas, and effective research tools are presented for signal processing-based estimation of the dynamic states and subsequent control, both centralized and decentralized, as well as linear and nonlinear. Detailed mathematical proofs are included for readers who desire a deeper technical understanding of the methods. This book is an ideal research reference for engineers and researchers working on monitoring and stability of modern grids, as well as postgraduate students studying these topics. It serves to deliver a clear understanding of the tools needed for estimation and control, while also acting as a basis for readers to further develop new and improved approaches in their own research. - Offers the first concise, single resource on dynamic estimation and control of power systems - Provides both an understanding of estimation and control concepts and a comparison of results - Includes detailed case-studies, including MATLAB codes, to explain and demonstrate the concepts presented

Nonlinear Control of Dynamic Networks

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Publisher : CRC Press
ISBN 13 : 1466584599
Total Pages : 347 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Nonlinear Control of Dynamic Networks by : Tengfei Liu

Download or read book Nonlinear Control of Dynamic Networks written by Tengfei Liu and published by CRC Press. This book was released on 2014-04-07 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: Significant progress has been made on nonlinear control systems in the past two decades. However, many of the existing nonlinear control methods cannot be readily used to cope with communication and networking issues without nontrivial modifications. For example, small quantization errors may cause the performance of a "well-designed" nonlinear control system to deteriorate. Motivated by the need for new tools to solve complex problems resulting from smart power grids, biological processes, distributed computing networks, transportation networks, robotic systems, and other cutting-edge control applications, Nonlinear Control of Dynamic Networks tackles newly arising theoretical and real-world challenges for stability analysis and control design, including nonlinearity, dimensionality, uncertainty, and information constraints as well as behaviors stemming from quantization, data-sampling, and impulses. Delivering a systematic review of the nonlinear small-gain theorems, the text: Supplies novel cyclic-small-gain theorems for large-scale nonlinear dynamic networks Offers a cyclic-small-gain framework for nonlinear control with static or dynamic quantization Contains a combination of cyclic-small-gain and set-valued map designs for robust control of nonlinear uncertain systems subject to sensor noise Presents a cyclic-small-gain result in directed graphs and distributed control of nonlinear multi-agent systems with fixed or dynamically changing topology Based on the authors’ recent research, Nonlinear Control of Dynamic Networks provides a unified framework for robust, quantized, and distributed control under information constraints. Suggesting avenues for further exploration, the book encourages readers to take into consideration more communication and networking issues in control designs to better handle the arising challenges.

Feedback Control of Dynamic Systems

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Publisher : Pearson Higher Ed
ISBN 13 : 0133002276
Total Pages : 843 pages
Book Rating : 4.1/5 (33 download)

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Book Synopsis Feedback Control of Dynamic Systems by : Gene F. Franklin

Download or read book Feedback Control of Dynamic Systems written by Gene F. Franklin and published by Pearson Higher Ed. This book was released on 2011-11-21 with total page 843 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the eBook of the printed book and may not include any media, website access codes, or print supplements that may come packaged with the bound book. For senior-level or first-year graduate-level courses in control analysis and design, and related courses within engineering, science, and management. Feedback Control of Dynamic Systems, Sixth Edition is perfect for practicing control engineers who wish to maintain their skills. This revision of a top-selling textbook on feedback control with the associated web site, FPE6e.com, provides greater instructor flexibility and student readability. Chapter 4 on A First Analysis of Feedback has been substantially rewritten to present the material in a more logical and effective manner. A new case study on biological control introduces an important new area to the students, and each chapter now includes a historical perspective to illustrate the origins of the field. As in earlier editions, the book has been updated so that solutions are based on the latest versions of MATLAB and SIMULINK. Finally, some of the more exotic topics have been moved to the web site.

Handbook of Dynamic System Modeling

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Publisher : CRC Press
ISBN 13 : 1420010859
Total Pages : 756 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Handbook of Dynamic System Modeling by : Paul A. Fishwick

Download or read book Handbook of Dynamic System Modeling written by Paul A. Fishwick and published by CRC Press. This book was released on 2007-06-01 with total page 756 pages. Available in PDF, EPUB and Kindle. Book excerpt: The topic of dynamic models tends to be splintered across various disciplines, making it difficult to uniformly study the subject. Moreover, the models have a variety of representations, from traditional mathematical notations to diagrammatic and immersive depictions. Collecting all of these expressions of dynamic models, the Handbook of Dynamic Sy

Random Perturbations of Dynamical Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 1468401769
Total Pages : 334 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis Random Perturbations of Dynamical Systems by : M. I. Freidlin

Download or read book Random Perturbations of Dynamical Systems written by M. I. Freidlin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: Asymptotical problems have always played an important role in probability theory. In classical probability theory dealing mainly with sequences of independent variables, theorems of the type of laws of large numbers, theorems of the type of the central limit theorem, and theorems on large deviations constitute a major part of all investigations. In recent years, when random processes have become the main subject of study, asymptotic investigations have continued to playa major role. We can say that in the theory of random processes such investigations play an even greater role than in classical probability theory, because it is apparently impossible to obtain simple exact formulas in problems connected with large classes of random processes. Asymptotical investigations in the theory of random processes include results of the types of both the laws of large numbers and the central limit theorem and, in the past decade, theorems on large deviations. Of course, all these problems have acquired new aspects and new interpretations in the theory of random processes.