Linear Systems

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Linear Systems

Panos J. Antsaklis,Anthony N. Michel
Linear Systems Book PDF

Author : Panos J. Antsaklis,Anthony N. Michel
Publisher : Springer Science & Business Media
Page : 672 pages
File Size : 44,7 Mb
Release : 2006-11-24
Category : Technology & Engineering
ISBN : 9780817644352

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Linear Systems by Panos J. Antsaklis,Anthony N. Michel Pdf

"There are three words that characterize this work: thoroughness, completeness and clarity. The authors are congratulated for taking the time to write an excellent linear systems textbook!" —IEEE Transactions on Automatic Control Linear systems theory plays a broad and fundamental role in electrical, mechanical, chemical and aerospace engineering, communications, and signal processing. A thorough introduction to systems theory with emphasis on control is presented in this self-contained textbook, written for a challenging one-semester graduate course. A solutions manual is available to instructors upon adoption of the text. The book’s flexible coverage and self-contained presentation also make it an excellent reference guide or self-study manual. For a treatment of linear systems that focuses primarily on the time-invariant case using streamlined presentation of the material with less formal and more intuitive proofs, please see the authors’ companion book entitled A Linear Systems Primer.

Linear Systems Theory

João P. Hespanha
Linear Systems Theory Book PDF

Author : João P. Hespanha
Publisher : Princeton University Press
Page : 352 pages
File Size : 51,8 Mb
Release : 2018-02-13
Category : Mathematics
ISBN : 9780691179575

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Linear Systems Theory by João P. Hespanha Pdf

A fully updated textbook on linear systems theory Linear systems theory is the cornerstone of control theory and a well-established discipline that focuses on linear differential equations from the perspective of control and estimation. This updated second edition of Linear Systems Theory covers the subject's key topics in a unique lecture-style format, making the book easy to use for instructors and students. João Hespanha looks at system representation, stability, controllability and state feedback, observability and state estimation, and realization theory. He provides the background for advanced modern control design techniques and feedback linearization and examines advanced foundational topics, such as multivariable poles and zeros and LQG/LQR. The textbook presents only the most essential mathematical derivations and places comments, discussion, and terminology in sidebars so that readers can follow the core material easily and without distraction. Annotated proofs with sidebars explain the techniques of proof construction, including contradiction, contraposition, cycles of implications to prove equivalence, and the difference between necessity and sufficiency. Annotated theoretical developments also use sidebars to discuss relevant commands available in MATLAB, allowing students to understand these tools. This second edition contains a large number of new practice exercises with solutions. Based on typical problems, these exercises guide students to succinct and precise answers, helping to clarify issues and consolidate knowledge. The book's balanced chapters can each be covered in approximately two hours of lecture time, simplifying course planning and student review. Easy-to-use textbook in unique lecture-style format Sidebars explain topics in further detail Annotated proofs and discussions of MATLAB commands Balanced chapters can each be taught in two hours of course lecture New practice exercises with solutions included

Direct Methods for Sparse Linear Systems

Timothy A. Davis
Direct Methods for Sparse Linear Systems Book PDF

Author : Timothy A. Davis
Publisher : SIAM
Page : 228 pages
File Size : 44,9 Mb
Release : 2006-09-01
Category : Computers
ISBN : 9780898716139

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Direct Methods for Sparse Linear Systems by Timothy A. Davis Pdf

The sparse backslash book. Everything you wanted to know but never dared to ask about modern direct linear solvers. Chen Greif, Assistant Professor, Department of Computer Science, University of British Columbia.Overall, the book is magnificent. It fills a long-felt need for an accessible textbook on modern sparse direct methods. Its choice of scope is excellent John Gilbert, Professor, Department of Computer Science, University of California, Santa Barbara.Computational scientists often encounter problems requiring the solution of sparse systems of linear equations. Attacking these problems efficiently requires an in-depth knowledge of the underlying theory, algorithms, and data structures found in sparse matrix software libraries. Here, Davis presents the fundamentals of sparse matrix algorithms to provide the requisite background. The book includes CSparse, a concise downloadable sparse matrix package that illustrates the algorithms and theorems presented in the book and equips readers with the tools necessary to understand larger and more complex software packages.With a strong emphasis on MATLAB and the C programming language, Direct Methods for Sparse Linear Systems equips readers with the working knowledge required to use sparse solver packages and write code to interface applications to those packages. The book also explains how MATLAB performs its sparse matrix computations.Audience This invaluable book is essential to computational scientists and software developers who want to understand the theory and algorithms behind modern techniques used to solve large sparse linear systems. The book also serves as an excellent practical resource for students with an interest in combinatorial scientific computing.Preface; Chapter 1: Introduction; Chapter 2: Basic algorithms; Chapter 3: Solving triangular systems; Chapter 4: Cholesky factorization; Chapter 5: Orthogonal methods; Chapter 6: LU factorization; Chapter 7: Fill-reducing orderings; Chapter 8: Solving sparse linear systems; Chapter 9: CSparse; Chapter 10: Sparse matrices in MATLAB; Appendix: Basics of the C programming language; Bibliography; Index.

Max-linear Systems: Theory and Algorithms

Peter Butkovič
Max linear Systems Theory and Algorithms Book PDF

Author : Peter Butkovič
Publisher : Springer Science & Business Media
Page : 281 pages
File Size : 51,6 Mb
Release : 2010-08-05
Category : Mathematics
ISBN : 9781849962995

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Max-linear Systems: Theory and Algorithms by Peter Butkovič Pdf

Recent years have seen a significant rise of interest in max-linear theory and techniques. Specialised international conferences and seminars or special sessions devoted to max-algebra have been organised. This book aims to provide a first detailed and self-contained account of linear-algebraic aspects of max-algebra for general (that is both irreducible and reducible) matrices. Among the main features of the book is the presentation of the fundamental max-algebraic theory (Chapters 1-4), often scattered in research articles, reports and theses, in one place in a comprehensive and unified form. This presentation is made with all proofs and in full generality (that is for both irreducible and reducible matrices). Another feature is the presence of advanced material (Chapters 5-10), most of which has not appeared in a book before and in many cases has not been published at all. Intended for a wide-ranging readership, this book will be useful for anyone with basic mathematical knowledge (including undergraduate students) who wish to learn fundamental max-algebraic ideas and techniques. It will also be useful for researchers working in tropical geometry or idempotent analysis.

Linear Systems

Thomas Kailath
Linear Systems Book PDF

Author : Thomas Kailath
Publisher : Prentice Hall
Page : 710 pages
File Size : 48,5 Mb
Release : 1980
Category : Linear systems
ISBN : UOM:39076006227040

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Linear Systems by Thomas Kailath Pdf

State-space description-some basic concepts; Linear state-variable feedbach; Asymptotic observers and compensator design; Some algebraic complements; State-space and matrix-fraction description of multivariable systems; State feedback and compensator design; General differential systems and polynomial matrix descriptions; Some results for time-variant systems; Some further reading.

Linear Systems Theory

Ben M. Chen,Zongli Lin,Yacov Shamash
Linear Systems Theory Book PDF

Author : Ben M. Chen,Zongli Lin,Yacov Shamash
Publisher : Springer Science & Business Media
Page : 422 pages
File Size : 43,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461220466

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Linear Systems Theory by Ben M. Chen,Zongli Lin,Yacov Shamash Pdf

Includes MATLAB-based computational and design algorithms utilizing the "Linear Systems Toolkit." All results and case studies presented in both the continuous- and discrete-time settings.

Iterative Methods for Sparse Linear Systems

Yousef Saad
Iterative Methods for Sparse Linear Systems Book PDF

Author : Yousef Saad
Publisher : SIAM
Page : 537 pages
File Size : 45,7 Mb
Release : 2003-04-01
Category : Mathematics
ISBN : 9780898715347

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Iterative Methods for Sparse Linear Systems by Yousef Saad Pdf

Mathematics of Computing -- General.

Switched Linear Systems

Zhendong Sun
Switched Linear Systems Book PDF

Author : Zhendong Sun
Publisher : Springer Science & Business Media
Page : 303 pages
File Size : 49,9 Mb
Release : 2006-03-30
Category : Technology & Engineering
ISBN : 9781846281310

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Switched Linear Systems by Zhendong Sun Pdf

Switched linear systems have enjoyed a particular growth in interest since the 1990s. The large amount of data and ideas thus generated have, until now, lacked a co-ordinating framework to focus them effectively on some of the fundamental issues such as the problems of robust stabilizing switching design, feedback stabilization and optimal switching. This deficiency is resolved by this book which features: nucleus of constructive design approaches based on canonical decomposition and forming a sound basis for the systematic treatment of secondary results; theoretical exploration and logical association of several independent but pivotal concerns in control design as they pertain to switched linear systems: controllability and observability, feedback stabilization, optimization and periodic switching; a reliable foundation for further theoretical research as well as design guidance for real life engineering applications through the integration of novel ideas, fresh insights and rigorous results.

An Introduction to Infinite-Dimensional Linear Systems Theory

Ruth F. Curtain,Hans Zwart
An Introduction to Infinite Dimensional Linear Systems Theory Book PDF

Author : Ruth F. Curtain,Hans Zwart
Publisher : Springer Science & Business Media
Page : 714 pages
File Size : 51,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461242246

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An Introduction to Infinite-Dimensional Linear Systems Theory by Ruth F. Curtain,Hans Zwart Pdf

Infinite dimensional systems is now an established area of research. Given the recent trend in systems theory and in applications towards a synthesis of time- and frequency-domain methods, there is a need for an introductory text which treats both state-space and frequency-domain aspects in an integrated fashion. The authors' primary aim is to write an introductory textbook for a course on infinite dimensional linear systems. An important consideration by the authors is that their book should be accessible to graduate engineers and mathematicians with a minimal background in functional analysis. Consequently, all the mathematical background is summarized in an extensive appendix. For the majority of students, this would be their only acquaintance with infinite dimensional systems.

Analysis and Design of Descriptor Linear Systems

Guang-Ren Duan
Analysis and Design of Descriptor Linear Systems Book PDF

Author : Guang-Ren Duan
Publisher : Springer Science & Business Media
Page : 504 pages
File Size : 48,5 Mb
Release : 2010-09-14
Category : Mathematics
ISBN : 9781441963970

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Analysis and Design of Descriptor Linear Systems by Guang-Ren Duan Pdf

Descriptor linear systems theory is an important part in the general field of control systems theory, and has attracted much attention in the last two decades. In spite of the fact that descriptor linear systems theory has been a topic very rich in content, there have been only a few books on this topic. This book provides a systematic introduction to the theory of continuous-time descriptor linear systems and aims to provide a relatively systematic introduction to the basic results in descriptor linear systems theory. The clear representation of materials and a large number of examples make this book easy to understand by a large audience. General readers will find in this book a comprehensive introduction to the theory of descriptive linear systems. Researchers will find a comprehensive description of the most recent results in this theory and students will find a good introduction to some important problems in linear systems theory.

Templates for the Solution of Linear Systems

Richard Barrett,Michael W. Berry,Tony F. Chan,James Demmel,June Donato,Jack Dongarra,Victor Eijkhout,Roldan Pozo,Charles Romine,Henk van der Vorst
Templates for the Solution of Linear Systems Book PDF

Author : Richard Barrett,Michael W. Berry,Tony F. Chan,James Demmel,June Donato,Jack Dongarra,Victor Eijkhout,Roldan Pozo,Charles Romine,Henk van der Vorst
Publisher : SIAM
Page : 141 pages
File Size : 51,7 Mb
Release : 1994-01-01
Category : Mathematics
ISBN : 1611971535

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Templates for the Solution of Linear Systems by Richard Barrett,Michael W. Berry,Tony F. Chan,James Demmel,June Donato,Jack Dongarra,Victor Eijkhout,Roldan Pozo,Charles Romine,Henk van der Vorst Pdf

In this book, which focuses on the use of iterative methods for solving large sparse systems of linear equations, templates are introduced to meet the needs of both the traditional user and the high-performance specialist. Templates, a description of a general algorithm rather than the executable object or source code more commonly found in a conventional software library, offer whatever degree of customization the user may desire. Templates offer three distinct advantages: they are general and reusable; they are not language specific; and they exploit the expertise of both the numerical analyst, who creates a template reflecting in-depth knowledge of a specific numerical technique, and the computational scientist, who then provides "value-added" capability to the general template description, customizing it for specific needs. For each template that is presented, the authors provide: a mathematical description of the flow of algorithm; discussion of convergence and stopping criteria to use in the iteration; suggestions for applying a method to special matrix types; advice for tuning the template; tips on parallel implementations; and hints as to when and why a method is useful.

Damped Oscillations of Linear Systems

Krešimir Veselić
Damped Oscillations of Linear Systems Book PDF

Author : Krešimir Veselić
Publisher : Springer Science & Business Media
Page : 215 pages
File Size : 51,9 Mb
Release : 2011-07-09
Category : Language Arts & Disciplines
ISBN : 9783642213342

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Damped Oscillations of Linear Systems by Krešimir Veselić Pdf

The theory of linear damped oscillations was originally developed more than hundred years ago and is still of vital research interest to engineers, mathematicians and physicists alike. This theory plays a central role in explaining the stability of mechanical structures in civil engineering, but it also has applications in other fields such as electrical network systems and quantum mechanics. This volume gives an introduction to linear finite dimensional damped systems as they are viewed by an applied mathematician. After a short overview of the physical principles leading to the linear system model, a largely self-contained mathematical theory for this model is presented. This includes the geometry of the underlying indefinite metric space, spectral theory of J-symmetric matrices and the associated quadratic eigenvalue problem. Particular attention is paid to the sensitivity issues which influence numerical computations. Finally, several recent research developments are included, e.g. Lyapunov stability and the perturbation of the time evolution.

Finite Dimensional Linear Systems

Roger W. Brockett
Finite Dimensional Linear Systems Book PDF

Author : Roger W. Brockett
Publisher : SIAM
Page : 260 pages
File Size : 44,9 Mb
Release : 2015-05-26
Category : Mathematics
ISBN : 9781611973877

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Finite Dimensional Linear Systems by Roger W. Brockett Pdf

Originally published in 1970, Finite Dimensional Linear Systems is a classic textbook that provides a solid foundation for learning about dynamical systems and encourages students to develop a reliable intuition for problem solving. The theory of linear systems has been the bedrock of control theory for 50 years and has served as the springboard for many significant developments, all the while remaining impervious to change. Since linearity lies at the heart of much of the mathematical analysis used in applications, a firm grounding in its central ideas is essential. This book touches upon many of the standard topics in applied mathematics, develops the theory of linear systems in a systematic way, making as much use as possible of vector ideas, and contains a number of nontrivial examples and many exercises.

Linear System Theory

Frank M. Callier,Charles A. Desoer
Linear System Theory Book PDF

Author : Frank M. Callier,Charles A. Desoer
Publisher : Springer Science & Business Media
Page : 524 pages
File Size : 46,5 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781461209577

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Linear System Theory by Frank M. Callier,Charles A. Desoer Pdf

This book is the result of our teaching over the years an undergraduate course on Linear Optimal Systems to applied mathematicians and a first-year graduate course on Linear Systems to engineers. The contents of the book bear the strong influence of the great advances in the field and of its enormous literature. However, we made no attempt to have a complete coverage. Our motivation was to write a book on linear systems that covers finite dimensional linear systems, always keeping in mind the main purpose of engineering and applied science, which is to analyze, design, and improve the performance of phy sical systems. Hence we discuss the effect of small nonlinearities, and of perturbations of feedback. It is our on the data; we face robustness issues and discuss the properties hope that the book will be a useful reference for a first-year graduate student. We assume that a typical reader with an engineering background will have gone through the conventional undergraduate single-input single-output linear systems course; an elementary course in control is not indispensable but may be useful for motivation. For readers from a mathematical curriculum we require only familiarity with techniques of linear algebra and of ordinary differential equations.

A Linear Systems Primer

Panos J. Antsaklis,Anthony N. Michel
A Linear Systems Primer Book PDF

Author : Panos J. Antsaklis,Anthony N. Michel
Publisher : Springer Science & Business Media
Page : 517 pages
File Size : 42,5 Mb
Release : 2007-12-03
Category : Technology & Engineering
ISBN : 9780817646615

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A Linear Systems Primer by Panos J. Antsaklis,Anthony N. Michel Pdf

Based on a streamlined presentation of the authors’ successful work Linear Systems, this textbook provides an introduction to systems theory with an emphasis on control. Initial chapters present necessary mathematical background material for a fundamental understanding of the dynamical behavior of systems. Each chapter includes helpful chapter descriptions and guidelines for the reader, as well as summaries, notes, references, and exercises at the end. The emphasis throughout is on time-invariant systems, both continuous- and discrete-time.