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

Authors: Khapalov, Alexander Y.

  • 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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eBook $89.00
price for USA (gross)
  • ISBN 978-3-319-60414-5
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $119.00
price for USA
  • ISBN 978-3-319-60413-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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.

About the authors

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

Table of contents (12 chapters)

  • Introduction

    Khapalov, Alexander Y.

    Pages 1-10

  • Continuous Observability of the Heat Equation Under a Single Mobile Point Sensor

    Khapalov, Alexander Y.

    Pages 13-27

  • Continuous Observability of Second-Order Parabolic Equations Under Degenerate Mobile Sensors

    Khapalov, Alexander Y.

    Pages 29-37

  • Behavior of Solutions of the Semilinear Heat Equation in Vanishing Time and Controllability

    Khapalov, Alexander Y.

    Pages 41-62

  • Controllability of the Semilinear Heat Equation with a Sublinear Term and a Degenerate Actuator

    Khapalov, Alexander Y.

    Pages 63-76

Buy this book

eBook $89.00
price for USA (gross)
  • ISBN 978-3-319-60414-5
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $119.00
price for USA
  • ISBN 978-3-319-60413-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Mobile Point Sensors and Actuators in the Controllability Theory of Partial Differential Equations
Authors
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
Edition Number
1
Number of Pages
XVI, 233
Number of Illustrations and Tables
11 b/w illustrations
Topics