Author : Vilmos Komornik
Publisher : Springer Science & Business Media
Page : 230 pages
File Size : 11,89 MB
Release : 2005-01-27
Category : Computers
ISBN : 0387223835
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.
Author : John C. Doyle
Publisher : Courier Corporation
Page : 264 pages
File Size : 12,8 MB
Release : 2013-04-09
Category : Technology & Engineering
ISBN : 0486318338
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.
Author : Steven L. Brunton
Publisher : Cambridge University Press
Page : 615 pages
File Size : 34,64 MB
Release : 2022-05-05
Category : Computers
ISBN : 1009098489
A textbook covering data-science and machine learning methods for modelling and control in engineering and science, with Python and MATLAB®.
Author : Norman Levinson
Publisher : American Mathematical Soc.
Page : 256 pages
File Size : 10,63 MB
Release : 1940-12-31
Category : Mathematics
ISBN : 082181026X
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.
Author : Ronald Newbold Bracewell
Publisher :
Page : pages
File Size : 48,21 MB
Release : 1978
Category : Fourier transformations
ISBN :
Author : David W. Kammler
Publisher : Cambridge University Press
Page : 39 pages
File Size : 45,23 MB
Release : 2008-01-17
Category : Mathematics
ISBN : 1139469037
This book provides a meaningful resource for applied mathematics through Fourier analysis. It develops a unified theory of discrete and continuous (univariate) Fourier analysis, the fast Fourier transform, and a powerful elementary theory of generalized functions and shows how these mathematical ideas can be used to study sampling theory, PDEs, probability, diffraction, musical tones, and wavelets. The book contains an unusually complete presentation of the Fourier transform calculus. It uses concepts from calculus to present an elementary theory of generalized functions. FT calculus and generalized functions are then used to study the wave equation, diffusion equation, and diffraction equation. Real-world applications of Fourier analysis are described in the chapter on musical tones. A valuable reference on Fourier analysis for a variety of students and scientific professionals, including mathematicians, physicists, chemists, geologists, electrical engineers, mechanical engineers, and others.
Author : T. W. Körner
Publisher : Cambridge University Press
Page : pages
File Size : 24,19 MB
Release : 2022-06-09
Category : Mathematics
ISBN : 1009230077
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.
Author : Stanley M. Shinners
Publisher : Wiley-Interscience
Page : 888 pages
File Size : 28,69 MB
Release : 1992-03-25
Category : Science
ISBN :
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.
Author : Eduardo D. Sontag
Publisher : Springer Science & Business Media
Page : 543 pages
File Size : 43,82 MB
Release : 2013-11-21
Category : Mathematics
ISBN : 1461205778
Geared primarily to an audience consisting of mathematically advanced undergraduate or beginning graduate students, this text may additionally be used by engineering students interested in a rigorous, proof-oriented systems course that goes beyond the classical frequency-domain material and more applied courses. The minimal mathematical background required is a working knowledge of linear algebra and differential equations. The book covers what constitutes the common core of control theory and is unique in its emphasis on foundational aspects. While covering a wide range of topics written in a standard theorem/proof style, it also develops the necessary techniques from scratch. In this second edition, new chapters and sections have been added, dealing with time optimal control of linear systems, variational and numerical approaches to nonlinear control, nonlinear controllability via Lie-algebraic methods, and controllability of recurrent nets and of linear systems with bounded controls.
Author : Jayakumar Ramanathan
Publisher : Springer Science & Business Media
Page : 334 pages
File Size : 35,37 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 1461217563
