Lecture Notes in Control and Information Sciences

Their R´les in Signals, Control and Dynamical Systems

By: Jean-Daniel Fournier (Editor), Jose Grimm (Editor), Juliette Leblond (Editor)

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Paperback | 21 February 2006

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338 Pages

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This book - an outgrowth of a topical summer school - sets out to introduce non-specialists from physics and engineering to the basic mathematical concepts of approximation and Fourier theory. After a general introduction, Part II of this volume contains basic material on the complex and harmonic analysis underlying the further developments presented. Part III deals with the essentials of approximation theory while Part IV completes the foundations by a tour of probability theory. Part V reviews some major applications in signal and control theory. In Part VI mathematical aspects of dynamical systems theory are discussed. Part VII, finally, is devoted to a modern approach to two physics problems: turbulence and the control and noise analysis in gravitational waves measurements.

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Analyticity and physics	p. 3
From analytic functions to divergent power series	p. 15
Fourier transforms and complex analysis	p. 39
Pade approximants	p. 59
Potential theoretic tools in polynomial and rational approximation	p. 71
Good bases	p. 95
Some aspects of the central limit theorem and related topics	p. 105
Distribution of the roots of certain random real polynomials	p. 129
Rational approximation and noise	p. 145
Stationary processes and linear systems	p. 159
Parametric spectral estimation and data whitening	p. 181
The Laplace transform in control theory	p. 193
Identification and function theory	p. 211
Perturbative series expansions : theoretical aspects and numerical investigations	p. 233
Resonances in hyperbolic and Hamiltonian systems	p. 263
Signal processing methods related to models of turbulence	p. 277
Control of interferometric gravitational wave detectors	p. 303
Table of Contents provided by Blackwell. All Rights Reserved.

Lecture Notes in Control and Information Sciences

Their R´les in Signals, Control and Dynamical Systems

At a Glance

Paperback

Shipping

How to return your order

Defective items

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