Computational Aspects of Linear Control

Computational Aspects of Linear Control
Author: Claude Brezinski
Publisher: Springer Science & Business Media
Total Pages: 296
Release: 2013-12-01
Genre: Mathematics
ISBN: 1461302617

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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.


Computational Aspects of Linear Control
Language: en
Pages: 296
Authors: Claude Brezinski
Categories: Mathematics
Type: BOOK - Published: 2013-12-01 - Publisher: Springer Science & Business Media

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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
Analytical and Computational Aspects of the Linear Optimal Control Problem
Language: en
Pages:
Authors: O. H. D. Walter
Categories:
Type: BOOK - Published: 1971 - Publisher:

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Theoretical and Computational Aspects of Structural Dynamical Systems in Linear Algebra and Control
Language: en
Pages:
Authors: Luciano Lopez
Categories:
Type: BOOK - Published: 2003 - Publisher:

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Special Section: Selected Papers on Theoretical and Computational Aspects of Structural Dynamical Systems in Linear Algebra and Control
Language: en
Pages: 202
Computer Programs for Computational Assistance in the Study of Linear Control Theory
Language: en
Pages: 210
Authors: James L. Melsa
Categories: Control theory
Type: BOOK - Published: 1973 - Publisher: McGraw-Hill Companies

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