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Approximation of Large-Scale Dynamical Systems

Author : Athanasios C. Antoulas

Publisher : SIAM

Page : 489 pages

File Size : 20,24 MB

Release : 2009-06-25

Category : Mathematics

ISBN : 0898716586

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Book Description

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.





Estimation and Control of Large-Scale Networked Systems

Author : Tong Zhou

Publisher : Butterworth-Heinemann

Page : 498 pages

File Size : 45,12 MB

Release : 2018-06-13

Category : Technology & Engineering

ISBN : 0128092211

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Book Description

Estimation and Control of Large Scale Networked Systems is the first book that systematically summarizes results on large-scale networked systems. In addition, the book also summarizes the most recent results on structure identification of a networked system, attack identification and prevention. Readers will find the necessary mathematical knowledge for studying large-scale networked systems, as well as a systematic description of the current status of this field, the features of these systems, difficulties in dealing with state estimation and controller design, and major achievements. Numerical examples in chapters provide strong application backgrounds and/or are abstracted from actual engineering problems, such as gene regulation networks and electricity power systems. This book is an ideal resource for researchers in the field of systems and control engineering. - Provides necessary mathematical knowledge for studying large scale networked systems - Introduces new features for filter and control design of networked control systems - Summarizes the most recent results on structural identification of a networked system, attack identification and prevention





Differential Dynamical Systems, Revised Edition

Author : James D. Meiss

Publisher : SIAM

Page : 410 pages

File Size : 47,51 MB

Release : 2017-01-24

Category : Mathematics

ISBN : 161197464X

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Book Description

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.



The Coming Singularity

Author : Gary A. Freitas

Publisher : Austin Macauley Publishers

Page : 243 pages

File Size : 16,35 MB

Release : 2022-08-31

Category : Technology & Engineering

ISBN : 1638291624

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Book Description

As we approach 2050, it is projected that human consciousness will encounter a superior intelligence for the very first time: artificial machine intelligence. It is important for us to understand the evolutionary impact of this event, but also that we are being altered from the inside out for the singularity to arise. Are we ready? Will we be adaptive? How will we change? The Coming Singularity explores the psychological impact of the changes coming our way and the many adaptations we will have to make. We are transitioning to a world of one degree of separation, with only the illusion of privacy, autonomy and anonymity. All of us are undergoing a transition to an electronic identity, one that can reach back and change the real you. The question going forward will be, who is the real you? A cluster of psychological symptoms are evolving from our technology interface––Identity Diffusion. Its key feature is the de-realization of life. Direct brain-to-technology interfaces will soon render our brains an open-source forum. We need to discuss who is in there and why! The impact of e-technology on human identity will be profound, but it is also a prerequisite for machine intelligence to arise. We need to discuss this. We humans reside in complex, dynamical networks. The goal of artificial intelligence will be to evolve and stabilize these networks. And we may not be the priority.



Input-to-State Stability

Author : Andrii Mironchenko

Publisher : Springer Nature

Page : 417 pages

File Size : 20,15 MB

Release : 2023-03-30

Category : Science

ISBN : 3031146743

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Book Description

Input-to-State Stability presents the dominating stability paradigm in nonlinear control theory that revolutionized our view on stabilization of nonlinear systems, design of robust nonlinear observers, and stability of nonlinear interconnected control systems. The applications of input-to-state stability (ISS) are manifold and include mechatronics, aerospace engineering, and systems biology. Although the book concentrates on the ISS theory of finite-dimensional systems, it emphasizes the importance of a more general view of infinite-dimensional ISS theory. This permits the analysis of more general system classes and provides new perspectives on and a better understanding of the classical ISS theory for ordinary differential equations (ODEs). Features of the book include: • a comprehensive overview of the theoretical basis of ISS; • a description of the central applications of ISS in nonlinear control theory; • a detailed discussion of the role of small-gain methods in the stability of nonlinear networks; and • an in-depth comparison of ISS for finite- and infinite-dimensional systems. The book also provides a short overview of the ISS theory for other systems classes (partial differential equations, hybrid, impulsive, and time-delay systems) and surveys the available results for the important stability properties that are related to ISS. The reader should have a basic knowledge of analysis, Lebesgue integration theory, linear algebra, and the theory of ODEs but requires no prior knowledge of dynamical systems or stability theory. The author introduces all the necessary ideas within the book. Input-to-State Stability will interest researchers and graduate students studying nonlinear control from either a mathematical or engineering background. It is intended for active readers and contains numerous exercises of varying difficulty, which are integral to the text, complementing and widening the material developed in the monograph.



Power System Modeling, Computation, and Control

Author : Joe H. Chow

Publisher : John Wiley & Sons

Page : 664 pages

File Size : 21,33 MB

Release : 2020-01-21

Category : Technology & Engineering

ISBN : 1119546877

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Book Description

Provides students with an understanding of the modeling and practice in power system stability analysis and control design, as well as the computational tools used by commercial vendors Bringing together wind, FACTS, HVDC, and several other modern elements, this book gives readers everything they need to know about power systems. It makes learning complex power system concepts, models, and dynamics simpler and more efficient while providing modern viewpoints of power system analysis. Power System Modeling, Computation, and Control provides students with a new and detailed analysis of voltage stability; a simple example illustrating the BCU method of transient stability analysis; and one of only a few derivations of the transient synchronous machine model. It offers a discussion on reactive power consumption of induction motors during start-up to illustrate the low-voltage phenomenon observed in urban load centers. Damping controller designs using power system stabilizer, HVDC systems, static var compensator, and thyristor-controlled series compensation are also examined. In addition, there are chapters covering flexible AC transmission Systems (FACTS)—including both thyristor and voltage-sourced converter technology—and wind turbine generation and modeling. Simplifies the learning of complex power system concepts, models, and dynamics Provides chapters on power flow solution, voltage stability, simulation methods, transient stability, small signal stability, synchronous machine models (steady-state and dynamic models), excitation systems, and power system stabilizer design Includes advanced analysis of voltage stability, voltage recovery during motor starts, FACTS and their operation, damping control design using various control equipment, wind turbine models, and control Contains numerous examples, tables, figures of block diagrams, MATLAB plots, and problems involving real systems Written by experienced educators whose previous books and papers are used extensively by the international scientific community Power System Modeling, Computation, and Control is an ideal textbook for graduate students of the subject, as well as for power system engineers and control design professionals.



Large Scale Systems: Theory and Applications 1989

Author : K. Reinisch

Publisher : Pergamon

Page : 590 pages

File Size : 26,98 MB

Release : 1990-06-08

Category : Technology & Engineering

ISBN :

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Book Description

The papers present new trends on the development of theory and applications in the field of large scale systems analysis, planning and control. The issues discussed are proving to be of great importance as systems of growing complexity are found in all fields of human activities, often developed by economic, organizational and technological effects. The papers are divided into three main areas of interest; Modelling, Analysis, Basic Controls; Superordinate Controls and Decisions; Applications.



Stability Regions of Nonlinear Dynamical Systems

Author : Hsiao-Dong Chiang

Publisher : Cambridge University Press

Page : 483 pages

File Size : 44,79 MB

Release : 2015-08-13

Category : Technology & Engineering

ISBN : 1316368327

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Book Description

This authoritative treatment covers theory, optimal estimation and a range of practical applications. The first book on the subject, and written by leading researchers, this clear and rigorous work presents a comprehensive theory for both the stability boundary and the stability regions of a range of nonlinear dynamical systems including continuous, discrete, complex, two-time-scale and non-hyperbolic systems, illustrated with numerical examples. The authors also propose new concepts of quasi-stability region and of relevant stability regions and their complete characterisations. Optimal schemes for estimating stability regions of general nonlinear dynamical systems are also covered, and finally the authors describe and explain how the theory is applied in applications including direct methods for power system transient stability analysis, nonlinear optimisation for finding a set of high-quality optimal solutions, stabilisation of nonlinear systems, ecosystem dynamics, and immunisation problems.