Mobile Point Sensors and Actuators in the Controllability Theory of Partial Differential Equations
Authors: Khapalov, Alexander Y.
Free Preview- Presents the author's research in controllability theory of partial differential equations
- Offers real-world applications and examples of controllability theory
- Perfect for researchers and graduate students interested in the field
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- About this book
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This book presents a concise study of controllability theory of partial differential equations when they are equipped with actuators and/or sensors that are finite dimensional at every moment of time. Based on the author’s extensive research in the area of controllability theory, this monograph specifically focuses on the issues of controllability, observability, and stabilizability for parabolic and hyperbolic partial differential equations. The topics in this book also cover related applied questions such as the problem of localization of unknown pollution sources based on information obtained from point sensors that arise in environmental monitoring. Researchers and graduate students interested in controllability theory of partial differential equations and its applications will find this book to be an invaluable resource to their studies.
- About the authors
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Alexander Y. Khapalov is a professor in the Department of Mathematics at Washington State University.
- Reviews
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“The monograph under review constitutes an extremely valuable contribution to the research related to pointwise sensors and actuators, both static and mobile. It has been written by a renowned expert in this extremely challenging area. … it is accessible to graduate students in applied mathematics, engineering and physics. Due to mathematical rigor, its reading is also recommended to more advance practitioners who aim at implementing control or observation strategies using mobile sensors or actuators.” (Dariusz Uciński, Mathematical reviews, September, 2018)
- Table of contents (12 chapters)
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Introduction
Pages 1-10
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Continuous Observability of the Heat Equation Under a Single Mobile Point Sensor
Pages 13-27
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Continuous Observability of Second-Order Parabolic Equations Under Degenerate Mobile Sensors
Pages 29-37
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Behavior of Solutions of the Semilinear Heat Equation in Vanishing Time and Controllability
Pages 41-62
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Controllability of the Semilinear Heat Equation with a Sublinear Term and a Degenerate Actuator
Pages 63-76
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Table of contents (12 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Mobile Point Sensors and Actuators in the Controllability Theory of Partial Differential Equations
- Authors
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- Alexander Y. Khapalov
- Copyright
- 2017
- Publisher
- Springer International Publishing
- Copyright Holder
- Springer International Publishing AG
- eBook ISBN
- 978-3-319-60414-5
- DOI
- 10.1007/978-3-319-60414-5
- Hardcover ISBN
- 978-3-319-60413-8
- Softcover ISBN
- 978-3-319-86859-2
- Edition Number
- 1
- Number of Pages
- XVI, 233
- Number of Illustrations
- 11 b/w illustrations
- Topics
