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Fourier Series In Control Theory
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Book Synopsis Fourier Series in Control Theory by : Vilmos Komornik
Download or read book Fourier Series in Control Theory written by Vilmos Komornik and published by Springer Science & Business Media. This book was released on 2005-01-27 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first serious attempt to gather all of the available theory of "nonharmonic Fourier series" in one place, combining published results with new results by the authors.
Book Synopsis Data-Driven Science and Engineering by : Steven L. Brunton
Download or read book Data-Driven Science and Engineering written by Steven L. Brunton and published by Cambridge University Press. This book was released on 2022-05-05 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: A textbook covering data-science and machine learning methods for modelling and control in engineering and science, with Python and MATLAB®.
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.
Book Synopsis Theory of Automatic Control by : M. A. Aizerman
Download or read book Theory of Automatic Control written by M. A. Aizerman and published by Elsevier. This book was released on 2016-10-27 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory of Automatic Control focuses on the theory of automatic control, including controllers, models, control processes, and analysis of systems. The book first offers information on the general introduction to automatic controllers and the construction of a linear model control system and the initial material for its analysis. Discussions focus on astatic controllers of indirect action, floating feedback, controllers of discontinuous action, static characteristics of elements and of systems, and frequency characteristics of a linear element and of the linear model of a system. The text then ponders on the stability of the linear model of an automatic control system and the construction and evaluation of the processes in the linear model of a system of automatic control. Topics include construction of the process from the transfer function of the system; construction of the control process from the frequency characteristics of the system; and analysis of systems with random disturbances given statistically. The publication takes a look at auto- and forced oscillation in non-linear systems, including approximate determination of forced oscillations in the presence of an external periodic action and determination of the auto-oscillations in the case of auto-resonance. The manuscript is a dependable reference for readers interested in the theory of automatic control.
Book Synopsis Essentials of Nonlinear Control Theory by : James R. Leigh
Download or read book Essentials of Nonlinear Control Theory written by James R. Leigh and published by IET. This book was released on 1983 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: The following topics are dealt with: nonlinearity: dynamic systems; describing function method; phase plane portrait; linearisation ;nonlinear second-order system linearisation; envelope methods; Limit cycles; relaxation oscillations; Lienard's equation; gradient systems and system decomposition.
Book Synopsis Applications of Fourier Transform to Smile Modeling by : Jianwei Zhu
Download or read book Applications of Fourier Transform to Smile Modeling written by Jianwei Zhu and published by Springer Science & Business Media. This book was released on 2009-10-03 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses the applications of Fourier transform to smile modeling. Smile effect is used generically by ?nancial engineers and risk managers to refer to the inconsistences of quoted implied volatilities in ?nancial markets, or more mat- matically, to the leptokurtic distributions of ?nancial assets and indices. Therefore, a sound modeling of smile effect is the central challenge in quantitative ?nance. Since more than one decade, Fourier transform has triggered a technical revolution in option pricing theory. Almost all new developed option pricing models, es- cially in connection with stochastic volatility and random jump, have extensively applied Fourier transform and the corresponding inverse transform to express - tion pricing formulas. The large accommodation of the Fourier transform allows for a very convenient modeling with a general class of stochastic processes and d- tributions. This book is then intended to present a comprehensive treatment of the Fourier transform in the option valuation, covering the most stochastic factors such as stochastic volatilities and interest rates, Poisson and Levy ́ jumps, including some asset classes such as equity, FX and interest rates, and providing numerical ex- ples and prototype programming codes. I hope that readers will bene?t from this book not only by gaining an overview of the advanced theory and the vast large l- erature on these topics, but also by gaining a ?rst-hand feedback from the practice on the applications and implementations of the theory.
Book Synopsis Gap and Density Theorems by : Norman Levinson
Download or read book Gap and Density Theorems written by Norman Levinson and published by American Mathematical Soc.. This book was released on 1940-12-31 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: A typical gap theorem of the type discussed in the book deals with a set of exponential functions ${ \{e^{{{i\lambda}_n} x}\} }$ on an interval of the real line and explores the conditions under which this set generates the entire $L_2$ space on this interval. A typical gap theorem deals with functions $f$ on the real line such that many Fourier coefficients of $f$ vanish. The main goal of this book is to investigate relations between density and gap theorems and to study various cases where these theorems hold. The author also shows that density- and gap-type theorems are related to various properties of zeros of analytic functions in one variable.
Book Synopsis Modern Control System Theory and Design by : Stanley M. Shinners
Download or read book Modern Control System Theory and Design written by Stanley M. Shinners and published by Wiley-Interscience. This book was released on 1992-03-25 with total page 888 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offers unified treatment of conventional and modern continuous and discrete control theory and demonstrates how to apply the theory to realistic control system design problems. Along with linear and nonlinear, digital and optimal control systems, it presents four case studies of actual designs. The majority of solutions contained in the book and the problems at the ends of the chapters were generated using the commercial software package, MATLAB, and is available free to the users of the book by returning a postcard contained with the book to the MathWorks, Inc. This software also contains the following features/utilities created to enhance MATLAB and several of the MathWorks' toolboxes: Tutorial File which contains the essentials necessary to understand the MATLAB interface (other books require additional books for full comprehension), Demonstration m-file which gives the users a feel for the various utilities included, OnLine HELP, Synopsis File which reviews and highlights the features of each chapter.
Book Synopsis Methods of Applied Fourier Analysis by : Jayakumar Ramanathan
Download or read book Methods of Applied Fourier Analysis written by Jayakumar Ramanathan 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:
Book Synopsis The Fourier Transform and Its Applications by : Ronald Newbold Bracewell
Download or read book The Fourier Transform and Its Applications written by Ronald Newbold Bracewell and published by . This book was released on 1978 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An Introduction to Laplace Transforms and Fourier Series by : P.P.G. Dyke
Download or read book An Introduction to Laplace Transforms and Fourier Series written by P.P.G. Dyke and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to Laplace transforms and Fourier series is aimed at second year students in applied mathematics. It is unusual in treating Laplace transforms at a relatively simple level with many examples. Mathematics students do not usually meet this material until later in their degree course but applied mathematicians and engineers need an early introduction. Suitable as a course text, it will also be of interest to physicists and engineers as supplementary material.
Book Synopsis Optimization in Control Applications by : Guillermo Valencia-Palomo
Download or read book Optimization in Control Applications written by Guillermo Valencia-Palomo and published by MDPI. This book was released on 2019-01-10 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a printed edition of the Special Issue "Optimization in Control Applications" that was published in MCA
Book Synopsis Fourier Analysis by : Elias M. Stein
Download or read book Fourier Analysis written by Elias M. Stein and published by Princeton University Press. This book was released on 2011-02-11 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: This first volume, a three-part introduction to the subject, is intended for students with a beginning knowledge of mathematical analysis who are motivated to discover the ideas that shape Fourier analysis. It begins with the simple conviction that Fourier arrived at in the early nineteenth century when studying problems in the physical sciences--that an arbitrary function can be written as an infinite sum of the most basic trigonometric functions. The first part implements this idea in terms of notions of convergence and summability of Fourier series, while highlighting applications such as the isoperimetric inequality and equidistribution. The second part deals with the Fourier transform and its applications to classical partial differential equations and the Radon transform; a clear introduction to the subject serves to avoid technical difficulties. The book closes with Fourier theory for finite abelian groups, which is applied to prime numbers in arithmetic progression. In organizing their exposition, the authors have carefully balanced an emphasis on key conceptual insights against the need to provide the technical underpinnings of rigorous analysis. Students of mathematics, physics, engineering and other sciences will find the theory and applications covered in this volume to be of real interest. The Princeton Lectures in Analysis represents a sustained effort to introduce the core areas of mathematical analysis while also illustrating the organic unity between them. Numerous examples and applications throughout its four planned volumes, of which Fourier Analysis is the first, highlight the far-reaching consequences of certain ideas in analysis to other fields of mathematics and a variety of sciences. Stein and Shakarchi move from an introduction addressing Fourier series and integrals to in-depth considerations of complex analysis; measure and integration theory, and Hilbert spaces; and, finally, further topics such as functional analysis, distributions and elements of probability theory.
Book Synopsis Relay Control Systems by : I︠A︡kov Zalmanovich T︠S︡ypkin
Download or read book Relay Control Systems written by I︠A︡kov Zalmanovich T︠S︡ypkin and published by CUP Archive. This book was released on 1984-11-08 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: Relay control systems are widely employed in a variety of technological domains because they are simpler and, in many cases, have better dynamic properties than other types of control system. The aim of this book is to present a theory of relay control systems that is based on the concepts of transfer functions and frequency and time characteristics. While giving an account of the general properties of relay control systems, the author devotes ample space to the analysis and computation of concrete examples. Although the reader is assumed to be acquainted with Fourier series and operational calculus, the appendices contain some background mathematics to make the book as self-contained as possible.
Book Synopsis Control Theory Tutorial by : Steven A. Frank
Download or read book Control Theory Tutorial written by Steven A. Frank and published by Springer. This book was released on 2018-05-29 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access Brief introduces the basic principles of control theory in a concise self-study guide. It complements the classic texts by emphasizing the simple conceptual unity of the subject. A novice can quickly see how and why the different parts fit together. The concepts build slowly and naturally one after another, until the reader soon has a view of the whole. Each concept is illustrated by detailed examples and graphics. The full software code for each example is available, providing the basis for experimenting with various assumptions, learning how to write programs for control analysis, and setting the stage for future research projects. The topics focus on robustness, design trade-offs, and optimality. Most of the book develops classical linear theory. The last part of the book considers robustness with respect to nonlinearity and explicitly nonlinear extensions, as well as advanced topics such as adaptive control and model predictive control. New students, as well as scientists from other backgrounds who want a concise and easy-to-grasp coverage of control theory, will benefit from the emphasis on concepts and broad understanding of the various approaches. Electronic codes for this title can be downloaded from https://extras.springer.com/?query=978-3-319-91707-8
Book Synopsis A Guide to Distribution Theory and Fourier Transforms by : Robert S. Strichartz
Download or read book A Guide to Distribution Theory and Fourier Transforms written by Robert S. Strichartz and published by World Scientific. This book was released on 2003 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: This important book provides a concise exposition of the basic ideas of the theory of distribution and Fourier transforms and its application to partial differential equations. The author clearly presents the ideas, precise statements of theorems, and explanations of ideas behind the proofs. Methods in which techniques are used in applications are illustrated, and many problems are included. The book also introduces several significant recent topics, including pseudodifferential operators, wave front sets, wavelets, and quasicrystals. Background mathematical prerequisites have been kept to a minimum, with only a knowledge of multidimensional calculus and basic complex variables needed to fully understand the concepts in the book.A Guide to Distribution Theory and Fourier Transforms can serve as a textbook for parts of a course on Applied Analysis or Methods of Mathematical Physics, and in fact it is used that way at Cornell.
Download or read book Fourier Analysis written by T. W. Körner and published by Cambridge University Press. This book was released on 2022-06-09 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Fourier analysis is a subject that was born in physics but grew up in mathematics. Now it is part of the standard repertoire for mathematicians, physicists and engineers. This diversity of interest is often overlooked, but in this much-loved book, Tom Körner provides a shop window for some of the ideas, techniques and elegant results of Fourier analysis, and for their applications. These range from number theory, numerical analysis, control theory and statistics, to earth science, astronomy and electrical engineering. The prerequisites are few (a reader with knowledge of second- or third-year undergraduate mathematics should have no difficulty following the text), and the style is lively and entertaining. This edition of Körner's 1989 text includes a foreword written by Professor Terence Tao introducing it to a new generation of fans.
