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Families of Exponentials: The Method of Moments in Controllability Problems for...
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Families of Exponentials: The Method of Moments in Controllability Problems for...
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by Sergei A. Avdonin and Sergei A. Ivanov
Sales Rank : 2510134
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Hardcover: 256 pages
Publisher: Cambridge University Press November 24, 1995
Language: English
ISBN-10: 0521452430
ISBN-13: 978-0521452434
Product Dimensions:
9.1 x 6.2 x 1.2 inches
Shipping Weight: 1.3 pounds
Product Review
"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
Product Description
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.
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