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."
General
Imprint: |
Springer-Verlag New York
|
Country of origin: |
United States |
Series: |
Numerical Methods and Algorithms, 1 |
Release date: |
June 2002 |
First published: |
2002 |
Authors: |
Claude Brezinski
|
Dimensions: |
235 x 155 x 19mm (L x W x T) |
Format: |
Hardcover
|
Pages: |
295 |
Edition: |
2002 ed. |
ISBN-13: |
978-1-4020-0711-8 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Numerical analysis
|
LSN: |
1-4020-0711-6 |
Barcode: |
9781402007118 |
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