Fourier Series in Control Theory
-
- $79.99
-
- $79.99
Publisher Description
Advance Praise for Fourier Series in Control Theory:
It has been known since 1967 that a wide variety of sets of complex exponential functions play an important role in the control theory of systems governed by partial differential equations. Up until now, the relevant literature has been scattered among various journal articles, a survey paper by myself in SIAM Review in 1978, and the book, Families of Exponentials, by S. Avdonin and S. Ivanov (1995). Fourier Series in Control Theory successfully gathers all of the available theory of these "nonharmonic Fourier series" in one place, combining published results with new results, to create a unique source of such material for practicing applied mathematicians, engineers, and other scientific professionals.
- David Russell, Virginia Polytechnic Institute and State University
This monograph will be of interest to experts and researchers, as well as graduate students in such courses as control series and harmonic analysis. Starting with an overview of the problems of observability, controllability, and stabilization of linear systems and their interconnections, the text contains complete proofs along with a short, simplified, presentation of some properties of Bessel functions for the convenience of the reader. Only basic knowledge of functional analysis is required.
PUBLISHERS WEEKLY
Weak execution undermines the premise of this volume, a dual biography of Waterford, a Jewish woman who survived Auschwitz, and Heck, a German who had risen to the highest circles of the Hitler Youth organization. As the book states, Waterford and Heck currently speak publicly as a team, together explaining the horrors of WWII and the importance of compassion in healing that war's wounds. As the editor of Renaissance House, Ayer has already published Waterford's and Heck's individual memoirs (respectively, Commitment to the Dead; and A Child of Hitler and The Burden of Hitler's Legacy); here she excerpts passages from these works and interpolates a chronicle of the war. However, her account skimps on facts-even so basic a matter as Waterford's date of birth is obscured, and battles and campaigns are only roughly situated (``Early in 1942, the Allies struck back. For the first time, British troops defeated the Germans''). This soft-focus approach allows Waterford's and Heck's statements to go unchallenged-a particular problem with Heck, whose story seems self-serving and incomplete at best. Accordingly, the thesis is hard to swallow-that Waterford and Heck were both Hitler's victims. Ages 12-up. q
