PNLDE Subseries in Control

Controllability and Stabilization of Parabolic Equations

Authors: BARBU, VIOREL

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  • Provides a survey of available techniques for stabilizing parabolic boundary value problems
  • Draws from the author's years of lectures and teaching on control theory for parabolic equations
  • Discusses the construction of nonlinear feedback controllers for steering system states
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eBook $89.00
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  • ISBN 978-3-319-76666-9
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Hardcover $169.99
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Softcover $119.99
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About this book

This monograph presents controllability and stabilization methods in control theory that solve parabolic boundary value problems. Starting from foundational questions on Carleman inequalities for linear parabolic equations, the author addresses the controllability of parabolic equations on a variety of domains and the spectral decomposition technique for representing them. This method is, in fact, designed for use in a wider class of parabolic systems that include the heat and diffusion equations. Later chapters develop another process that employs stabilizing feedback controllers with a finite number of unstable modes, with special attention given to its use in the boundary stabilization of Navier–Stokes equations for the motion of viscous fluid. In turn, these applied methods are used to explore related topics like the exact controllability of stochastic parabolic equations with linear multiplicative noise. 
Intended for graduate students and researchers working on control problems involving nonlinear differential equations, Controllability and Stabilization of Parabolic Equations is the distillation of years of lectures and research. With a minimum of preliminaries, the book leaps into its applications for control theory with both concrete examples and accessible solutions to problems in stabilization and controllability that are still areas of current research.  

Table of contents (6 chapters)

Table of contents (6 chapters)

Buy this book

eBook $89.00
price for USA in USD
  • ISBN 978-3-319-76666-9
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.99
price for USA in USD
Softcover $119.99
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
Controllability and Stabilization of Parabolic Equations
Authors
Series Title
PNLDE Subseries in Control
Series Volume
90
Copyright
2018
Publisher
Birkhäuser Basel
Copyright Holder
Springer International Publishing AG, part of Springer Nature
eBook ISBN
978-3-319-76666-9
DOI
10.1007/978-3-319-76666-9
Hardcover ISBN
978-3-319-76665-2
Softcover ISBN
978-3-030-09550-5
Edition Number
1
Number of Pages
X, 226
Topics