Fourier series in control theory 1st Edition by Vilmos Komornik, Paola Loreti ISBN 0387223835 9780387223834 by Komornik V., Loreti P. 9780387223834, 0387223835 instant download after payment.

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Product details:

ISBN 10: 0387223835

ISBN 13: 9780387223834 

Author: Vilmos Komornik, Paola Loreti 

This book uses techniques of Fourier series and functional analysis to deal with certain problems in differential equations. The Fourier series and functional analysis are merely tools; the authors' real interest lies in the differential equations that they study. It has been known since 1967 that a wide variety of sets {ewikt} of complex exponential functions play an important role in the control theory of systems governed by partial differential equations. However, this book is the first serious attempt to gather all of the available theory of these "nonharmonic Fourier series" in one place, combining published results with new results by the authors, to create a unique source of such material for practicing applied mathematicians, engineers and other scientific professionals.

Table of contents:

1. Front Matter

2. Introduction

3. Observation, Control, and Stabilization

4. Well-Posedness in a Riesz Basis Setting

5. Observability of Strings

6. Observability of Beams

7. Vector Sum Estimates

8. Problems on Spherical Domains

9. Multidimensional Ingham-Type Theorems

10. A General Ingham-Type Theorem

11. Problems with Weakened Gap Conditions

12. Back Matter

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Tags: Vilmos Komornik, Paola Loreti, Fourier, Series, Control, Theory