Time-Varying Systems and Computations

Time-Varying Systems and Computations
Author :
Publisher : Springer Science & Business Media
Total Pages : 457
Release :
ISBN-10 : 9781475728170
ISBN-13 : 1475728174
Rating : 4/5 (174 Downloads)

Book Synopsis Time-Varying Systems and Computations by : Patrick DeWilde

Download or read book Time-Varying Systems and Computations written by Patrick DeWilde and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex function theory and linear algebra provide much of the basic mathematics needed by engineers engaged in numerical computations, signal processing or control. The transfer function of a linear time invariant system is a function of the complex vari able s or z and it is analytic in a large part of the complex plane. Many important prop erties of the system for which it is a transfer function are related to its analytic prop erties. On the other hand, engineers often encounter small and large matrices which describe (linear) maps between physically important quantities. In both cases similar mathematical and computational problems occur: operators, be they transfer functions or matrices, have to be simplified, approximated, decomposed and realized. Each field has developed theory and techniques to solve the main common problems encountered. Yet, there is a large, mysterious gap between complex function theory and numerical linear algebra. For example, complex function theory has solved the problem to find analytic functions of minimal complexity and minimal supremum norm that approxi e. g. , as optimal mate given values at strategic points in the complex plane. They serve approximants for a desired behavior of a system to be designed. No similar approxi mation theory for matrices existed until recently, except for the case where the matrix is (very) close to singular.


Time-Varying Systems and Computations Related Books

Time-Varying Systems and Computations
Language: en
Pages: 457
Authors: Patrick DeWilde
Categories: Science
Type: BOOK - Published: 2013-03-09 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

Complex function theory and linear algebra provide much of the basic mathematics needed by engineers engaged in numerical computations, signal processing or con
Minimum Entropy Control for Time-Varying Systems
Language: en
Pages: 198
Authors: Marc A. Peters
Categories: Science
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

This book takes the topic of H-infinity control as a point of departure, and pursues an improved controller design suggested in the mainstream of robust control
Fundamentals of Linear State Space Systems
Language: en
Pages: 600
Authors: John S. Bay
Categories: Mathematics
Type: BOOK - Published: 1999 - Publisher: McGraw-Hill Science, Engineering & Mathematics

DOWNLOAD EBOOK

Spans a broad range of linear system theory concepts, but does so in a complete and sequential style. It is suitable for a first-year graduate or advanced under
Operator Theory, System Theory and Related Topics
Language: en
Pages: 568
Authors: Daniel Alpay
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Birkhäuser

DOWNLOAD EBOOK

This volume presents the refereed proceedings of the Conference in Operator The ory in Honour of Moshe Livsic 80th Birthday, held June 29 to July 4, 1997, at th
SVD and Signal Processing, III
Language: en
Pages: 499
Authors: M. Moonen
Categories: Technology & Engineering
Type: BOOK - Published: 1995-03-16 - Publisher: Elsevier

DOWNLOAD EBOOK

Matrix Singular Value Decomposition (SVD) and its application to problems in signal processing is explored in this book. The papers discuss algorithms and imple