Polynomials And Linear Control Systems

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Polynomials and Linear Control Systems

Author : Stephen Barnett
Publisher :
ISBN 13 :
Total Pages : 480 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Polynomials and Linear Control Systems by : Stephen Barnett

Download or read book Polynomials and Linear Control Systems written by Stephen Barnett and published by . This book was released on 1983 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: In clear, easy-to-understand language, this volume fulfills two functions: fully developing the properties of polynomials and polynomial matrices, and demonstrating their practical application to the theory of time-invariant linear control systems. By emphasizing relatively simple matrix methods, it makes this information readily accessible to readers from diverse backgrounds. The unique combination of subject matter, problems and examples, depth of coverage, and references make this volume valuable to students and applied mathematicians. Applied mathematicians, electrical engineers, operations researchers, and mathematical economists will find this volume useful.

Positive Polynomials in Control

Author : Didier Henrion
Publisher : Springer Science & Business Media
ISBN 13 : 9783540239482
Total Pages : 332 pages
Book Rating : 4.2/5 (394 download)

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Book Synopsis Positive Polynomials in Control by : Didier Henrion

Download or read book Positive Polynomials in Control written by Didier Henrion and published by Springer Science & Business Media. This book was released on 2005-01-14 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: Positive Polynomials in Control originates from an invited session presented at the IEEE CDC 2003 and gives a comprehensive overview of existing results in this quickly emerging area. This carefully edited book collects important contributions from several fields of control, optimization, and mathematics, in order to show different views and approaches of polynomial positivity. The book is organized in three parts, reflecting the current trends in the area: 1. applications of positive polynomials and LMI optimization to solve various control problems, 2. a mathematical overview of different algebraic techniques used to cope with polynomial positivity, 3. numerical aspects of positivity of polynomials, and recently developed software tools which can be employed to solve the problems discussed in the book.

Linear Algebra for Control Theory

Author : Paul Van Dooren
Publisher : Springer Science & Business Media
ISBN 13 : 1461384192
Total Pages : 203 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Linear Algebra for Control Theory by : Paul Van Dooren

Download or read book Linear Algebra for Control Theory written by Paul Van Dooren and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Orthogonal Functions In Systems And Control

Author : K B Datta
Publisher : World Scientific
ISBN 13 : 9814501581
Total Pages : 289 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Orthogonal Functions In Systems And Control by : K B Datta

Download or read book Orthogonal Functions In Systems And Control written by K B Datta and published by World Scientific. This book was released on 1995-05-31 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a systematic and unified approach to the analysis, identification and optimal control of continuous-time dynamical systems via orthogonal polynomials such as Legendre, Laguerre, Hermite, Tchebycheff, Jacobi, Gegenbauer, and via orthogonal functions such as sine-cosine, block-pulse, and Walsh. This is the first book devoted to the application of orthogonal polynomials in systems and control, establishing the superiority of orthogonal polynomials to other orthogonal functions.

Computational Aspects of Linear Control

Author : Claude Brezinski
Publisher : Springer Science & Business Media
ISBN 13 : 9781402007118
Total Pages : 316 pages
Book Rating : 4.0/5 (71 download)

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Book Synopsis Computational Aspects of Linear Control by : Claude Brezinski

Download or read book Computational Aspects of Linear Control written by Claude Brezinski and published by Springer Science & Business Media. This book was released on 2002-06-30 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main objective of this volume is to create a bridge between control theory and its numerical analysis aspects. It is unique because it presents both subjects in a single volume. The book combines an exposition of linear control theory and the corresponding modern relevant computational techniques such as orthogonal polynomials, Padé approximation, numerical linear algebra, and some topics on nonlinear differential equations. It can be considered as an introduction to control theory for numerical analysts looking for a wide area of applications and as an introduction to recent numerical methods for control specialists. Audience: Aimed at advanced students at a doctoral or post-doctoral level, engineers, and researchers in control theory and numerical analysis.

A Polynomial Approach to Linear Algebra

Author : Paul A. Fuhrmann
Publisher : Springer Science & Business Media
ISBN 13 : 1441987347
Total Pages : 368 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis A Polynomial Approach to Linear Algebra by : Paul A. Fuhrmann

Download or read book A Polynomial Approach to Linear Algebra written by Paul A. Fuhrmann and published by Springer Science & Business Media. This book was released on 2012-10-01 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Polynomial Approach to Linear Algebra is a text which is heavily biased towards functional methods. In using the shift operator as a central object, it makes linear algebra a perfect introduction to other areas of mathematics, operator theory in particular. This technique is very powerful as becomes clear from the analysis of canonical forms (Frobenius, Jordan). It should be emphasized that these functional methods are not only of great theoretical interest, but lead to computational algorithms. Quadratic forms are treated from the same perspective, with emphasis on the important examples of Bezoutian and Hankel forms. These topics are of great importance in applied areas such as signal processing, numerical linear algebra, and control theory. Stability theory and system theoretic concepts, up to realization theory, are treated as an integral part of linear algebra. Finally there is a chapter on Hankel norm approximation for the case of scalar rational functions which allows the reader to access ideas and results on the frontier of current research.

Linear State-Space Control Systems

Author : Robert L. Williams, II
Publisher : John Wiley & Sons
ISBN 13 : 0471735558
Total Pages : 485 pages
Book Rating : 4.4/5 (717 download)

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Book Synopsis Linear State-Space Control Systems by : Robert L. Williams, II

Download or read book Linear State-Space Control Systems written by Robert L. Williams, II and published by John Wiley & Sons. This book was released on 2007-02-09 with total page 485 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book blends readability and accessibility common to undergraduate control systems texts with the mathematical rigor necessary to form a solid theoretical foundation. Appendices cover linear algebra and provide a Matlab overivew and files. The reviewers pointed out that this is an ambitious project but one that will pay off because of the lack of good up-to-date textbooks in the area.

Linear Control Systems

Author : Branislav Kisačanin
Publisher : Springer Science & Business Media
ISBN 13 : 9780306467431
Total Pages : 404 pages
Book Rating : 4.4/5 (674 download)

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Book Synopsis Linear Control Systems by : Branislav Kisačanin

Download or read book Linear Control Systems written by Branislav Kisačanin and published by Springer Science & Business Media. This book was released on 2001-12-31 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Anyone seeking a gentle introduction to the methods of modern control theory and engineering, written at the level of a first-year graduate course, should consider this book seriously. It contains: A generous historical overview of automatic control, from Ancient Greece to the 1970s, when this discipline matured into an essential field for electrical, mechanical, aerospace, chemical, and biomedical engineers, as well as mathematicians, and more recently, computer scientists; A balanced presentation of the relevant theory: the main state-space methods for description, analysis, and design of linear control systems are derived, without overwhelming theoretical arguments; Over 250 solved and exercise problems for both continuous- and discrete-time systems, often including MATLAB simulations; and Appendixes on MATLAB, advanced matrix theory, and the history of mathematical tools such as differential calculus, transform methods, and linear algebra. Another noteworthy feature is the frequent use of an inverted pendulum on a cart to illustrate the most important concepts of automatic control, such as: Linearization and discretization; Stability, controllability, and observability; State feedback, controller design, and optimal control; and Observer design, reduced order observers, and Kalman filtering. Most of the problems are given with solutions or MATLAB simulations. Whether the book is used as a textbook or as a self-study guide, the knowledge gained from it will be an excellent platform for students and practising engineers to explore further the recent developments and applications of control theory.

Control Systems Theory and Applications for Linear Repetitive Processes

Author : Eric Rogers
Publisher : Springer Science & Business Media
ISBN 13 : 3540426639
Total Pages : 477 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Control Systems Theory and Applications for Linear Repetitive Processes by : Eric Rogers

Download or read book Control Systems Theory and Applications for Linear Repetitive Processes written by Eric Rogers and published by Springer Science & Business Media. This book was released on 2007-02-20 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: After motivating examples, this monograph gives substantial new results on the analysis and control of linear repetitive processes. These include further applications of the abstract model based stability theory which, in particular, shows the critical importance to the dynamics developed of the structure of the initial conditions at the start of each new pass, the development of stability tests and performance bounds in terms of so-called 1D and 2D Lyapunov equations. It presents the development of a major bank of results on the structure and design of control laws, including the case when there is uncertainty in the process model description, together with numerically reliable computational algorithms. Finally, the application of some of these results in the area of iterative learning control is treated --- including experimental results from a chain conveyor system and a gantry robot system.

Numerically Solving Polynomial Systems with Bertini

Author : Daniel J. Bates
Publisher : SIAM
ISBN 13 : 1611972698
Total Pages : 372 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Numerically Solving Polynomial Systems with Bertini by : Daniel J. Bates

Download or read book Numerically Solving Polynomial Systems with Bertini written by Daniel J. Bates and published by SIAM. This book was released on 2013-11-08 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a guide to concepts and practice in numerical algebraic geometry ? the solution of systems of polynomial equations by numerical methods. Through numerous examples, the authors show how to apply the well-received and widely used open-source Bertini software package to compute solutions, including a detailed manual on syntax and usage options. The authors also maintain a complementary web page where readers can find supplementary materials and Bertini input files. Numerically Solving Polynomial Systems with Bertini approaches numerical algebraic geometry from a user's point of view with numerous examples of how Bertini is applicable to polynomial systems. It treats the fundamental task of solving a given polynomial system and describes the latest advances in the field, including algorithms for intersecting and projecting algebraic sets, methods for treating singular sets, the nascent field of real numerical algebraic geometry, and applications to large polynomial systems arising from differential equations. Those who wish to solve polynomial systems can start gently by finding isolated solutions to small systems, advance rapidly to using algorithms for finding positive-dimensional solution sets (curves, surfaces, etc.), and learn how to use parallel computers on large problems. These techniques are of interest to engineers and scientists in fields where polynomial equations arise, including robotics, control theory, economics, physics, numerical PDEs, and computational chemistry.

Operator Approach to Linear Control Systems

Author : A. Cheremensky
Publisher : Springer Science & Business Media
ISBN 13 : 9400901275
Total Pages : 411 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Operator Approach to Linear Control Systems by : A. Cheremensky

Download or read book Operator Approach to Linear Control Systems written by A. Cheremensky and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: The idea of optimization runs through most parts of control theory. The simplest optimal controls are preplanned (programmed) ones. The problem of constructing optimal preplanned controls has been extensively worked out in literature (see, e. g. , the Pontrjagin maximum principle giving necessary conditions of preplanned control optimality). However, the concept of op timality itself has a restrictive character: it is limited by what one means under optimality in each separate case. The internal contradictoriness of the preplanned control optimality ("the better is the enemy of the good") yields that the practical significance of optimal preplanned controls proves to be not great: such controls are usually sensitive to unregistered disturbances (includ ing the round-off errors which are inevitable when computer devices are used for forming controls), as there is the effect of disturbance accumulation in the control process which makes controls to be of little use on large time inter vals. This gap is mainly provoked by oversimplified settings of optimization problems. The outstanding result of control theory established in the end of the first half of our century is that controls in feedback form ensure the weak sensitivity of closed loop systems with respect to "small" unregistered internal and external disturbances acting in them (here we do not need to discuss performance indexes, since the considered phenomenon is of general nature). But by far not all optimal preplanned controls can be represented in a feedback form.

Control System Fundamentals

Author : William S. Levine
Publisher : CRC Press
ISBN 13 : 1351838369
Total Pages : 480 pages
Book Rating : 4.3/5 (518 download)

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Book Synopsis Control System Fundamentals by : William S. Levine

Download or read book Control System Fundamentals written by William S. Levine and published by CRC Press. This book was released on 2019-01-15 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sifting through the variety of control systems applications can be a chore. Diverse and numerous technologies inspire applications ranging from float valves to microprocessors. Relevant to any system you might use, the highly adaptable Control System Fundamentals fills your need for a comprehensive treatment of the basic principles of control system engineering. This overview furnishes the underpinnings of modern control systems. Beginning with a review of the required mathematics, major subsections cover digital control and modeling. An international panel of experts discusses the specification of control systems, techniques for dealing with the most common and important control system nonlinearities, and digital implementation of control systems, with complete references. This framework yields a primary resource that is also capable of directing you to more detailed articles and books. This self-contained reference explores the universal aspects of control that you need for any application. Reliable, up-to-date, and versatile, Control System Fundamentals answers your basic control systems questions and acts as an ideal starting point for approaching any control problem.

Feedback Control Theory

Author : John C. Doyle
Publisher : Courier Corporation
ISBN 13 : 0486318338
Total Pages : 264 pages
Book Rating : 4.4/5 (863 download)

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Book Synopsis Feedback Control Theory by : John C. Doyle

Download or read book Feedback Control Theory written by John C. Doyle and published by Courier Corporation. This book was released on 2013-04-09 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: An excellent introduction to feedback control system design, this book offers a theoretical approach that captures the essential issues and can be applied to a wide range of practical problems. Its explorations of recent developments in the field emphasize the relationship of new procedures to classical control theory, with a focus on single input and output systems that keeps concepts accessible to students with limited backgrounds. The text is geared toward a single-semester senior course or a graduate-level class for students of electrical engineering. The opening chapters constitute a basic treatment of feedback design. Topics include a detailed formulation of the control design program, the fundamental issue of performance/stability robustness tradeoff, and the graphical design technique of loopshaping. Subsequent chapters extend the discussion of the loopshaping technique and connect it with notions of optimality. Concluding chapters examine controller design via optimization, offering a mathematical approach that is useful for multivariable systems.

Polynomial Based Iteration Methods for Symmetric Linear Systems

Author : Bernd Fischer
Publisher : SIAM
ISBN 13 : 1611971918
Total Pages : 284 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Polynomial Based Iteration Methods for Symmetric Linear Systems by : Bernd Fischer

Download or read book Polynomial Based Iteration Methods for Symmetric Linear Systems written by Bernd Fischer and published by SIAM. This book was released on 2011-07-28 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published: Chichester; New York: Wiley; Stuttgart: Teubner, c1996.

Control Systems

Author : Naresh K Sinha
Publisher : New Age International
ISBN 13 : 9788122411683
Total Pages : 502 pages
Book Rating : 4.4/5 (116 download)

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Book Synopsis Control Systems by : Naresh K Sinha

Download or read book Control Systems written by Naresh K Sinha and published by New Age International. This book was released on 2008 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction To Control Systems, This Book Provides The Reader With The Basic Concepts Of Control Theory As Developed Over The Years In Both The Frequency Domain And The Time Domain. The Opening Chapters Of The Book Present A Unified Treatment Of Modelling Of Dynamic Systems, The Classical Material On The Performance Of Feedback Systems Based On The Transfer Function Approach And The Stability Of Linear Systems. Further, Various Types Of Frequency Response Plots And The Compensation Of Control Systems Have Been Presented. In Particular, The Trial-And-Error Approach To The Design Of Lead Compensators, As Found In Most Textbooks, Has Been Replaced By A Direct Method Developed In The Late 1970S.Moreover, The Design Of Pole-Placement Compensators Using Transfer Functions, The Counterpart Of The Combined Observer And State Feedback Controller, Has Been Included For The First Time In A Book Appropriate For Undergraduate And Practicing Engineers. In This Third Edition The Scheme For Pole-Placement Compensation Has Been Made Consistent With That In Chapter 12. The Chapter On Digital Control, A Rapidly Developing And Popular Area Has Been Dealt With, In An Up-To-Date Manner, This Book Is An Attempt To Aid The Student Remove The Drudgery Out Of Numerical Computations, Along With Numerous Worked Examples And Drill Problems With Answers To Help The Student In Mastering The Subject.

Control Theory for Linear Systems

Author : Harry L. Trentelman
Publisher : Springer Science & Business Media
ISBN 13 : 1447103394
Total Pages : 393 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Control Theory for Linear Systems by : Harry L. Trentelman

Download or read book Control Theory for Linear Systems written by Harry L. Trentelman and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: Control Theory for Linear Systems deals with the mathematical theory of feedback control of linear systems. It treats a wide range of control synthesis problems for linear state space systems with inputs and outputs. The book provides a treatment of these problems using state space methods, often with a geometric flavour. Its subject matter ranges from controllability and observability, stabilization, disturbance decoupling, and tracking and regulation, to linear quadratic regulation, H2 and H-infinity control, and robust stabilization. Each chapter of the book contains a series of exercises, intended to increase the reader's understanding of the material. Often, these exercises generalize and extend the material treated in the regular text.

Polynomial and Rational Matrices

Author : Tadeusz Kaczorek
Publisher : Springer Science & Business Media
ISBN 13 : 1846286050
Total Pages : 514 pages
Book Rating : 4.8/5 (462 download)

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Book Synopsis Polynomial and Rational Matrices by : Tadeusz Kaczorek

Download or read book Polynomial and Rational Matrices written by Tadeusz Kaczorek and published by Springer Science & Business Media. This book was released on 2007-01-19 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reviews new results in the application of polynomial and rational matrices to continuous- and discrete-time systems. It provides the reader with rigorous and in-depth mathematical analysis of the uses of polynomial and rational matrices in the study of dynamical systems. It also throws new light on the problems of positive realization, minimum-energy control, reachability, and asymptotic and robust stability.