The Resource Controllability and Stabilization of Parabolic Equations, by Viorel Barbu, (electronic resource)

Controllability and Stabilization of Parabolic Equations, by Viorel Barbu, (electronic resource)

Label
Controllability and Stabilization of Parabolic Equations
Title
Controllability and Stabilization of Parabolic Equations
Statement of responsibility
by Viorel Barbu
Creator
Contributor
Author
Provider
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
http://library.link/vocab/creatorName
Barbu, Viorel
Image bit depth
0
LC call number
  • Q295
  • QA402.3-402.37
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
SpringerLink
Series statement
Progress in Nonlinear Differential Equations and Their Applications,
Series volume
90
http://library.link/vocab/subjectName
  • Mathematics
  • Differential equations, Partial
  • System theory
  • Automatic control
  • Mathematics
  • Systems Theory, Control
  • Partial Differential Equations
  • Control
  • Engineering Mathematics
Label
Controllability and Stabilization of Parabolic Equations, by Viorel Barbu, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
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
Dimensions
unknown
Extent
X, 226 p.
File format
multiple file formats
Form of item
electronic
Isbn
9783319766669
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-76666-9
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-76666-9
Label
Controllability and Stabilization of Parabolic Equations, by Viorel Barbu, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
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
Dimensions
unknown
Extent
X, 226 p.
File format
multiple file formats
Form of item
electronic
Isbn
9783319766669
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-76666-9
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-76666-9

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