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The Resource Controllability and stabilization of parabolic equations, Viorel Barbu, (electronic book)

Controllability and stabilization of parabolic equations, Viorel Barbu, (electronic book)

Label
Controllability and stabilization of parabolic equations
Title
Controllability and stabilization of parabolic equations
Statement of responsibility
Viorel Barbu
Creator
Author
Subject
Language
eng
Summary
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.
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorDate
1941-
http://library.link/vocab/creatorName
Barbu, Viorel
Dewey number
515/.642
Index
index present
LC call number
QA402.3
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Progress in nonlinear differential equations and their applications,
Series volume
volume 90
http://library.link/vocab/subjectName
  • Control theory
  • Parabolic operators
Label
Controllability and stabilization of parabolic equations, Viorel Barbu, (electronic book)
Instantiates
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Preface -- Acronyms -- Preliminaries -- The Carleman Inequality for Linear Parabolic Equations -- Exact Controllability of Parabolic Equations -- Internal Controllability of Parabolic Equations with Inputs in Coefficients -- Feedback Stabilization of Semilinear Parabolic Equations -- Boundary Stabilization of Navier-Stokes Equations -- Index
Extent
1 online resource (x, 226 pages).
Form of item
online
Isbn
9783319766669
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-76666-9
System control number
  • on1033602974
  • (OCoLC)1033602974
Label
Controllability and stabilization of parabolic equations, Viorel Barbu, (electronic book)
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Preface -- Acronyms -- Preliminaries -- The Carleman Inequality for Linear Parabolic Equations -- Exact Controllability of Parabolic Equations -- Internal Controllability of Parabolic Equations with Inputs in Coefficients -- Feedback Stabilization of Semilinear Parabolic Equations -- Boundary Stabilization of Navier-Stokes Equations -- Index
Extent
1 online resource (x, 226 pages).
Form of item
online
Isbn
9783319766669
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-76666-9
System control number
  • on1033602974
  • (OCoLC)1033602974

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