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Families of Exponentials : The Method of Moments in Controllability Problems for Distributed Parameter Systems - Sergei A. Avdonin

Families of Exponentials

The Method of Moments in Controllability Problems for Distributed Parameter Systems

Hardcover Published: 30th June 2010
ISBN: 9780521452434
Number Of Pages: 324

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In this book, the authors present the newly developed theory of non-harmonic Fourier series and its applications to the control of distributed parameter systems, and they extend the theory to include vector exponential series. The first part of the book presents the modern theory of exponentials, using an operator theory approach. The second extends and upgrades the method of moments--one of the most powerful tools in the flourishing theory of the control of distributed parameter systems. They then go on to discuss the controllability of systems described by parabolic and hyperbolic PDE's for internal, boundary, initial, and pointwise control, and consider typical applications to optimal control problems. Researchers in control theory, operator theory, functional analysis, and partial differential equations will find much to interest them in this treatise.

Industry Reviews

"...a useful tool for people entering the field of harmonic analysis and control as well as for graduate students in applied methematics." Irena Lasiecka, Mathematical Reviews

Elements of Hilbert spaces theory
Families of vector-valued exponentials
Fourier method in operator equations and controllability types
Controllability of systems of parabolic type
Controllability of systems of hyperbolic type
Control of rectangular membrane vibrations
Boundary control of strings system
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521452434
ISBN-10: 0521452430
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 324
Published: 30th June 2010
Publisher: CAMBRIDGE UNIV PR
Country of Publication: GB
Dimensions (cm): 23.52 x 15.88  x 3.15
Weight (kg): 0.59

Earn 569 Qantas Points
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