Computational Aspects of Linear Control

Language: English

Published by Springer Us Jun 2002, 2002

1402007116 / 9781402007118

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Neuware - Many devices (we say dynamical systems or simply systems) behave like black boxes: they receive an input, this input is transformed following some laws (usually a differential equation) and an output is observed. The problem is to regulate the input in order to control the output, that is for obtaining a desired output. Such a mechanism, where the input is modified according to the output measured, is called feedback. The study and design of such automatic processes is called control theory. As we will see, the term system embraces any device and control theory has a wide variety of applications in the real world. Control theory is an interdisci plinary domain at the junction of differential and difference equations, system theory and statistics. Moreover, the solution of a control problem involves many topics of numerical analysis and leads to many interesting computational problems: linear algebra (QR, SVD, projections, Schur complement, structured matrices, localization of eigenvalues, computation of the rank, Jordan normal form, Sylvester and other equations, systems of linear equations, regulariza tion, etc), root localization for polynomials, inversion of the Laplace transform, computation of the matrix exponential, approximation theory (orthogonal poly nomials, Pad6 approximation, continued fractions and linear fractional transfor mations), optimization, least squares, dynamic programming, etc. So, control theory is also a. good excuse for presenting various (sometimes unrelated) issues of numerical analysis and the procedures for their solution. This book is not a book on control.

Seller Inventory # 9781402007118

Title
Computational Aspects of Linear Control
Author
Claude Brezinski
Publisher
Springer Us Jun 2002
Publication year
2002
Condition
Neu
Binding
Buch
Language
English
ISBN 10
1402007116
ISBN 13
9781402007118
Item weight
626 grams
Dimensions
238x180x23 mm

AHA-BUCH GmbH

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