Computational Aspects of Linear Control (Numerical Methods and Algorithms, 1, Band 1) - Hardcover

Brezinski, Claude

 
9781402007118: Computational Aspects of Linear Control (Numerical Methods and Algorithms, 1, Band 1)
Hardcover
ISBN 10: 1402007116 ISBN 13: 9781402007118
Verlag: Springer, 2002

Inhaltsangabe

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.

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Verlag
Springer
Erscheinungsdatum
2002
Sprache
Englisch
ISBN 10 
1402007116
ISBN 13 
9781402007118
Einband
Gebundene Ausgabe
Anzahl der Seiten
305
Kontakt zum Hersteller
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Hamburg
22391
Deutschland

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ISBN 10:  1461379660 ISBN 13:  9781461379669
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Softcover