Authors:
- Book is to large extent self-contained
- Attempts to unify two approaches traditionally different, one using essentially abstract functional analysis and the other based on techniques coming from partial differential equations
- Main exact observability results are obtained by combining functional analysis with various methods such as multipliers, Ingham-Beurling-type inequalities and Carleman estimates
- Elliptic and the parabolic Carleman-type estimates used in this book are worked out in detail, with an elementary construction of the necessary weight function
- Includes supplementary material: sn.pub/extras
Part of the book series: Birkhäuser Advanced Texts Basler Lehrbücher (BAT)
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Table of contents (15 chapters)
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Front Matter
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Back Matter
Reviews
From the reviews:
“This book deals with the observation and control of linear systems described by semigroups of operators in Hilbert spaces. … In particular, in this book the authors are able to use their ideas to establish the exact observability or exact controllability of various systems. … The book is written in an appropriate style for graduate students, mathematicians with interests in control theory and, also, researchers in control engineering.” (Enrique Fernández Cara, Mathematical Reviews, Issue 2010 d)
“This book, written at the level of a graduate textbook, is devoted to observation and control operators for operator semigroups. … provide a self-contained introduction into the topics admissibility, observability and controllability. … Each chapter concludes with a section containing bibliographic notes and further results. … In summary, the book is a welcome addition to infinite-dimensional systems theory. The book is suitable for researchers in other areas who wish to enter the field and also for specialists in the field as a general reference.” (Birgit Jacob, Zentralblatt MATH, Vol. 1188, 2010)
“This book is an introduction for applied mathematics and control graduate students and researchers interested in systems whose dynamics can be described by an operator semigroup on a Hilbert space. The book aims to unify two traditionally different approaches, one using abstract functional analysis and the other based on partial differential equation techniques such as multipliers, Ingham-Beurling-type inequalities, and Carleman estimates.” (IEEE Control Systems Magazine, Vol. 30, June, 2010)
Authors and Affiliations
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Institut Elie Cartan (IECN), Nancy Universitè/CNRS/INRIA, Vandœuvre-lès-Nancy Cedex, France
Marius Tucsnak
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School of Electrical Engineering Faculty of Engineering, Tel Aviv University, Tel Aviv, Israel
George Weiss
Bibliographic Information
Book Title: Observation and Control for Operator Semigroups
Authors: Marius Tucsnak, George Weiss
Series Title: Birkhäuser Advanced Texts Basler Lehrbücher
DOI: https://doi.org/10.1007/978-3-7643-8994-9
Publisher: Birkhäuser Basel
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Birkhäuser Basel 2009
Hardcover ISBN: 978-3-7643-8993-2Published: 13 March 2009
eBook ISBN: 978-3-7643-8994-9Published: 10 June 2009
Series ISSN: 1019-6242
Series E-ISSN: 2296-4894
Edition Number: 1
Number of Pages: XI, 483
Topics: Applications of Mathematics, Systems Theory, Control, Partial Differential Equations, Operator Theory