Numerical Linear Algebra Techniques For Systems And Control

Numerical Linear Algebra Techniques For Systems And Control Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Numerical Linear Algebra Techniques For Systems And Control book. This book definitely worth reading, it is an incredibly well-written.

Numerical Linear Algebra Techniques for Systems and Control

IEEE Control Systems Society
Numerical Linear Algebra Techniques for Systems and Control Book PDF

Author : IEEE Control Systems Society
Publisher : Piscataway, NJ : IEEE Press
Page : 744 pages
File Size : 44,9 Mb
Release : 1994
Category : Algebras, Linear
ISBN : STANFORD:36105217915490

Get Book

Numerical Linear Algebra Techniques for Systems and Control by IEEE Control Systems Society Pdf

A reprint collection of practical papers covering the broad scope of numerical linear algebra in computer-aided control system design software. Between the 35-page introduction and extensive 21-page bibliography, are seven sections: general numerical issues in control; controllability, observability, and realizations; "closeness" problems; frequency response, transfer functions, poles, and zeros; pole assignment and observer design; Riccati, Lyapunov, and Sylvester equations; and some relevant results from numerical linear algebra. Annotation copyright by Book News, Inc., Portland, OR

Numerical Methods for Linear Control Systems

Biswa Datta
Numerical Methods for Linear Control Systems Book PDF

Author : Biswa Datta
Publisher : Academic Press
Page : 737 pages
File Size : 54,6 Mb
Release : 2004
Category : Mathematics
ISBN : 9780122035906

Get Book

Numerical Methods for Linear Control Systems by Biswa Datta Pdf

Numerical Methods for Linear Control Systems Design and Analysis is an interdisciplinary textbook aimed at systematic descriptions and implementations of numerically-viable algorithms based on well-established, efficient and stable modern numerical linear techniques for mathematical problems arising in the design and analysis of linear control systems both for the first- and second-order models. Unique coverage of modern mathematical concepts such as parallel computations, second-order systems, and large-scale solutions Background material in linear algebra, numerical linear algebra, and control theory included in text Step-by-step explanations of the algorithms and examples

Linear Algebra for Control Theory

Paul Van Dooren,Bostwick Wyman
Linear Algebra for Control Theory Book PDF

Author : Paul Van Dooren,Bostwick Wyman
Publisher : Springer Science & Business Media
Page : 203 pages
File Size : 51,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461384199

Get Book

Linear Algebra for Control Theory by Paul Van Dooren,Bostwick Wyman Pdf

During the past decade the interaction between control theory and linear algebra has been ever increasing, giving rise to new results in both areas. As a natural outflow of this research, this book presents information on this interdisciplinary area. The cross-fertilization between control and linear algebra can be found in subfields such as Numerical Linear Algebra, Canonical Forms, Ring-theoretic Methods, Matrix Theory, and Robust Control. This book's editors were challenged to present the latest results in these areas and to find points of common interest. This volume reflects very nicely the interaction: the range of topics seems very wide indeed, but the basic problems and techniques are always closely connected. And the common denominator in all of this is, of course, linear algebra. This book is suitable for both mathematicians and students.

Numerical Linear Algebra in Signals, Systems and Control

Paul Van Dooren,Shankar P. Bhattacharyya,Raymond H. Chan,Vadim Olshevsky,Aurobinda Routray
Numerical Linear Algebra in Signals Systems and Control Book PDF

Author : Paul Van Dooren,Shankar P. Bhattacharyya,Raymond H. Chan,Vadim Olshevsky,Aurobinda Routray
Publisher : Springer Science & Business Media
Page : 481 pages
File Size : 51,7 Mb
Release : 2011-05-21
Category : Technology & Engineering
ISBN : 9789400706026

Get Book

Numerical Linear Algebra in Signals, Systems and Control by Paul Van Dooren,Shankar P. Bhattacharyya,Raymond H. Chan,Vadim Olshevsky,Aurobinda Routray Pdf

The purpose of Numerical Linear Algebra in Signals, Systems and Control is to present an interdisciplinary book, blending linear and numerical linear algebra with three major areas of electrical engineering: Signal and Image Processing, and Control Systems and Circuit Theory. Numerical Linear Algebra in Signals, Systems and Control will contain articles, both the state-of-the-art surveys and technical papers, on theory, computations, and applications addressing significant new developments in these areas. The goal of the volume is to provide authoritative and accessible accounts of the fast-paced developments in computational mathematics, scientific computing, and computational engineering methods, applications, and algorithms. The state-of-the-art surveys will benefit, in particular, beginning researchers, graduate students, and those contemplating to start a new direction of research in these areas. A more general goal is to foster effective communications and exchange of information between various scientific and engineering communities with mutual interests in concepts, computations, and workable, reliable practices.

Numerical Linear Algebra in Signals, Systems and Control

Paul Van Dooren,Shankar P. Bhattacharyya,Raymond H. Chan,Vadim Olshevsky,Aurobinda Routray
Numerical Linear Algebra in Signals Systems and Control Book PDF

Author : Paul Van Dooren,Shankar P. Bhattacharyya,Raymond H. Chan,Vadim Olshevsky,Aurobinda Routray
Publisher : Springer
Page : 480 pages
File Size : 53,6 Mb
Release : 2011-06-02
Category : Technology & Engineering
ISBN : 9400706030

Get Book

Numerical Linear Algebra in Signals, Systems and Control by Paul Van Dooren,Shankar P. Bhattacharyya,Raymond H. Chan,Vadim Olshevsky,Aurobinda Routray Pdf

The purpose of Numerical Linear Algebra in Signals, Systems and Control is to present an interdisciplinary book, blending linear and numerical linear algebra with three major areas of electrical engineering: Signal and Image Processing, and Control Systems and Circuit Theory. Numerical Linear Algebra in Signals, Systems and Control will contain articles, both the state-of-the-art surveys and technical papers, on theory, computations, and applications addressing significant new developments in these areas. The goal of the volume is to provide authoritative and accessible accounts of the fast-paced developments in computational mathematics, scientific computing, and computational engineering methods, applications, and algorithms. The state-of-the-art surveys will benefit, in particular, beginning researchers, graduate students, and those contemplating to start a new direction of research in these areas. A more general goal is to foster effective communications and exchange of information between various scientific and engineering communities with mutual interests in concepts, computations, and workable, reliable practices.

Numerical Linear Algebra

V. SUNDARAPANDIAN
Numerical Linear Algebra Book PDF

Author : V. SUNDARAPANDIAN
Publisher : PHI Learning Pvt. Ltd.
Page : 616 pages
File Size : 42,6 Mb
Release : 2008-04-23
Category : Mathematics
ISBN : 9788120334366

Get Book

Numerical Linear Algebra by V. SUNDARAPANDIAN Pdf

This well-organized text provides a clear analysis of the fundamental concepts of numerical linear algebra. It presents various numerical methods for the basic topics of linear algebra with a detailed discussion on theory, algorithms, and MATLAB implementation. The book provides a review of matrix algebra and its important results in the opening chapter and examines these results in the subsequent chapters. With clear explanations, the book analyzes different kinds of numerical algorithms for solving linear algebra such as the elimination and iterative methods for linear systems, the condition number of a matrix, singular value decomposition (SVD) of a matrix, and linear least-squares problem. In addition, it describes the Householder and Givens matrices and their applications, and the basic numerical methods for solving the matrix eigenvalue problem. Finally, the text reviews the numerical methods for systems and control. Key Features Includes numerous worked-out examples to help students grasp the concepts easily.  Provides chapter-end exercises to enable students to check their comprehension of the topics discussed.  Gives answers to exercises with hints at the end of the book.  Uses MATLAB software for problem-solving. Primarily designed as a textbook for postgraduate students of Mathematics, this book would also serve as a handbook on matrix computations for scientists and engineers.

Computational Matrix Analysis

Alan J. Laub
Computational Matrix Analysis Book PDF

Author : Alan J. Laub
Publisher : SIAM
Page : 157 pages
File Size : 43,7 Mb
Release : 2012-01-01
Category : Mathematics
ISBN : 9781611972214

Get Book

Computational Matrix Analysis by Alan J. Laub Pdf

Using an approach that author Alan Laub calls "matrix analysis for grown-ups," this new textbook introduces fundamental concepts of numerical linear algebra and their application to solving certain numerical problems arising in state-space control and systems theory. It is written for advanced undergraduate and beginning graduate students and can be used as a follow-up to Matrix Analysis for Scientists and Engineers (SIAM, 2005), a compact single-semester introduction to matrix analysis for engineers and computational scientists by the same author. Computational Matrix Analysis provides readers with a one-semester introduction to numerical linear algebra; an introduction to statistical condition estimation in book form for the first time; and an overview of certain computational problems in control and systems theory. The book features a number of elements designed to help students learn to use numerical linear algebra in day-to-day computing or research, including a brief review of matrix analysis, including notation, and an introduction to finite (IEEE) arithmetic; discussion and examples of conditioning, stability, and rounding analysis; an introduction to mathematical software topics related to numerical linear algebra; a thorough introduction to Gaussian elimination, along with condition estimation techniques; coverage of linear least squares, with orthogonal reduction and QR factorization; variants of the QR algorithm; and applications of the discussed algorithms.

Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory

Peter Benner,Matthias Bollhöfer,Daniel Kressner,Christian Mehl,Tatjana Stykel
Numerical Algebra Matrix Theory Differential Algebraic Equations and Control Theory Book PDF

Author : Peter Benner,Matthias Bollhöfer,Daniel Kressner,Christian Mehl,Tatjana Stykel
Publisher : Springer
Page : 608 pages
File Size : 50,9 Mb
Release : 2015-05-09
Category : Mathematics
ISBN : 9783319152608

Get Book

Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory by Peter Benner,Matthias Bollhöfer,Daniel Kressner,Christian Mehl,Tatjana Stykel Pdf

This edited volume highlights the scientific contributions of Volker Mehrmann, a leading expert in the area of numerical (linear) algebra, matrix theory, differential-algebraic equations and control theory. These mathematical research areas are strongly related and often occur in the same real-world applications. The main areas where such applications emerge are computational engineering and sciences, but increasingly also social sciences and economics. This book also reflects some of Volker Mehrmann's major career stages. Starting out working in the areas of numerical linear algebra (his first full professorship at TU Chemnitz was in "Numerical Algebra," hence the title of the book) and matrix theory, Volker Mehrmann has made significant contributions to these areas ever since. The highlights of these are discussed in Parts I and II of the present book. Often the development of new algorithms in numerical linear algebra is motivated by problems in system and control theory. These and his later major work on differential-algebraic equations, to which he together with Peter Kunkel made many groundbreaking contributions, are the topic of the chapters in Part III. Besides providing a scientific discussion of Volker Mehrmann's work and its impact on the development of several areas of applied mathematics, the individual chapters stand on their own as reference works for selected topics in the fields of numerical (linear) algebra, matrix theory, differential-algebraic equations and control theory.

Applied Numerical Linear Algebra

James W. Demmel
Applied Numerical Linear Algebra Book PDF

Author : James W. Demmel
Publisher : SIAM
Page : 426 pages
File Size : 47,5 Mb
Release : 1997-08-01
Category : Mathematics
ISBN : 9780898713893

Get Book

Applied Numerical Linear Algebra by James W. Demmel Pdf

This comprehensive textbook is designed for first-year graduate students from a variety of engineering and scientific disciplines.

Numerical Linear Algebra for High-performance Computers

Jack J. Dongarra,Iain S. Duff,Danny C. Sorensen,Henk A. van der Vorst
Numerical Linear Algebra for High performance Computers Book PDF

Author : Jack J. Dongarra,Iain S. Duff,Danny C. Sorensen,Henk A. van der Vorst
Publisher : SIAM
Page : 360 pages
File Size : 42,6 Mb
Release : 1998-01-01
Category : Computers
ISBN : 0898719615

Get Book

Numerical Linear Algebra for High-performance Computers by Jack J. Dongarra,Iain S. Duff,Danny C. Sorensen,Henk A. van der Vorst Pdf

This book presents a unified treatment of recently developed techniques and current understanding about solving systems of linear equations and large scale eigenvalue problems on high-performance computers. It provides a rapid introduction to the world of vector and parallel processing for these linear algebra applications. Topics include major elements of advanced-architecture computers and their performance, recent algorithmic development, and software for direct solution of dense matrix problems, direct solution of sparse systems of equations, iterative solution of sparse systems of equations, and solution of large sparse eigenvalue problems.

Computational Methods for Approximation of Large-Scale Dynamical Systems

Mohammad Monir Uddin
Computational Methods for Approximation of Large Scale Dynamical Systems Book PDF

Author : Mohammad Monir Uddin
Publisher : CRC Press
Page : 312 pages
File Size : 51,7 Mb
Release : 2019-04-30
Category : Mathematics
ISBN : 9781351028615

Get Book

Computational Methods for Approximation of Large-Scale Dynamical Systems by Mohammad Monir Uddin Pdf

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.

Numerical Linear Algebra and Applications, Second Edition

Biswa Nath Datta
Numerical Linear Algebra and Applications Second Edition Book PDF

Author : Biswa Nath Datta
Publisher : SIAM
Page : 545 pages
File Size : 52,6 Mb
Release : 2010-02-04
Category : Mathematics
ISBN : 9780898716856

Get Book

Numerical Linear Algebra and Applications, Second Edition by Biswa Nath Datta Pdf

An undergraduate textbook that highlights motivating applications and contains summary sections, examples, exercises, online MATLAB codes and a MATLAB toolkit. All the major topics of computational linear algebra are covered, from basic concepts to advanced topics such as the quadratic eigenvalue problem in later chapters.

Numerical Linear Algebra, Digital Signal Processing and Parallel Algorithms

Gene H. Golub,Paul Van Dooren
Numerical Linear Algebra Digital Signal Processing and Parallel Algorithms Book PDF

Author : Gene H. Golub,Paul Van Dooren
Publisher : Springer Science & Business Media
Page : 717 pages
File Size : 50,7 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9783642755361

Get Book

Numerical Linear Algebra, Digital Signal Processing and Parallel Algorithms by Gene H. Golub,Paul Van Dooren Pdf

Numerical linear algebra, digital signal processing, and parallel algorithms are three disciplines with a great deal of activity in the last few years. The interaction between them has been growing to a level that merits an Advanced Study Institute dedicated to the three areas together. This volume gives an account of the main results in this interdisciplinary field. The following topics emerged as major themes of the meeting: - Singular value and eigenvalue decompositions, including applications, - Toeplitz matrices, including special algorithms and architectures, - Recursive least squares in linear algebra, digital signal processing and control, - Updating and downdating techniques in linear algebra and signal processing, - Stability and sensitivity analysis of special recursive least squares problems, - Special architectures for linear algebra and signal processing. This book contains tutorials on these topics given by leading scientists in each of the three areas. A consider- able number of new research results are presented in contributed papers. The tutorials and papers will be of value to anyone interested in the three disciplines.

Computational Aspects of Linear Control

Claude Brezinski
Computational Aspects of Linear Control Book PDF

Author : Claude Brezinski
Publisher : Springer Science & Business Media
Page : 296 pages
File Size : 40,7 Mb
Release : 2013-12-01
Category : Mathematics
ISBN : 9781461302612

Get Book

Computational Aspects of Linear Control by Claude Brezinski Pdf

Many devices (we say dynamical systems or simply systems) behave like black boxes: they receive an input, this input is transformed following some laws (usually a differential equation) and an output is observed. The problem is to regulate the input in order to control the output, that is for obtaining a desired output. Such a mechanism, where the input is modified according to the output measured, is called feedback. The study and design of such automatic processes is called control theory. As we will see, the term system embraces any device and control theory has a wide variety of applications in the real world. Control theory is an interdisci plinary domain at the junction of differential and difference equations, system theory and statistics. Moreover, the solution of a control problem involves many topics of numerical analysis and leads to many interesting computational problems: linear algebra (QR, SVD, projections, Schur complement, structured matrices, localization of eigenvalues, computation of the rank, Jordan normal form, Sylvester and other equations, systems of linear equations, regulariza tion, etc), root localization for polynomials, inversion of the Laplace transform, computation of the matrix exponential, approximation theory (orthogonal poly nomials, Pad6 approximation, continued fractions and linear fractional transfor mations), optimization, least squares, dynamic programming, etc. So, control theory is also a. good excuse for presenting various (sometimes unrelated) issues of numerical analysis and the procedures for their solution. This book is not a book on control.

Linear Systems and Control

Martin J. Corless,Art Frazho
Linear Systems and Control Book PDF

Author : Martin J. Corless,Art Frazho
Publisher : CRC Press
Page : 368 pages
File Size : 55,8 Mb
Release : 2003-03-27
Category : Mathematics
ISBN : 0203911377

Get Book

Linear Systems and Control by Martin J. Corless,Art Frazho Pdf

Based largely on state space models, this text/reference utilizes fundamental linear algebra and operator techniques to develop classical and modern results in linear systems analysis and control design. It presents stability and performance results for linear systems, provides a geometric perspective on controllability and observability, and develops state space realizations of transfer functions. It also studies stabilizability and detectability, constructs state feedback controllers and asymptotic state estimators, covers the linear quadratic regulator problem in detail, introduces H-infinity control, and presents results on Hamiltonian matrices and Riccati equations.