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  • © 2017

Mobile Point Sensors and Actuators in the Controllability Theory of Partial Differential Equations

  • 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
  • Includes supplementary material: sn.pub/extras

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-xvi
  2. Introduction

    • Alexander Y. Khapalov
    Pages 1-10
  3. Observability and Controllability of Linear Parabolic Equations by Means of Degenerate Sensors and Controls

    1. Front Matter

      Pages 11-11
  4. Observability and Controllability of Semilinear Parabolic Equations by Means of Degenerate Sensors and Controls

    1. Front Matter

      Pages 39-39
  5. Source Localization and Sensor Placement in Environmental Monitoring

    1. Front Matter

      Pages 121-121
  6. Observability and Controllability of Hyperbolic Equations by Means of Degenerate Sensors and Actuators

    1. Front Matter

      Pages 145-145
  7. Observability and Stabilizability of a Vibrating String by Means of Degenerate Sensors and Damping

    1. Front Matter

      Pages 183-183
  8. Back Matter

    Pages 223-233

About this book

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.

Reviews

“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)

Authors and Affiliations

  • Department of Mathematics and Statistics, Washington State University, Pullman, USA

    Alexander Y. Khapalov

About the author

Alexander Y. Khapalov is a professor in the Department of Mathematics at Washington State University. 

Bibliographic Information

  • Book Title: Mobile Point Sensors and Actuators in the Controllability Theory of Partial Differential Equations

  • Authors: Alexander Y. Khapalov

  • DOI: https://doi.org/10.1007/978-3-319-60414-5

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer International Publishing AG 2017

  • Hardcover ISBN: 978-3-319-60413-8Published: 02 October 2017

  • Softcover ISBN: 978-3-319-86859-2Published: 11 August 2018

  • eBook ISBN: 978-3-319-60414-5Published: 15 September 2017

  • Edition Number: 1

  • Number of Pages: XVI, 233

  • Number of Illustrations: 11 b/w illustrations

  • Topics: Partial Differential Equations, Systems Theory, Control

Buy it now

Buying options

eBook USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access