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The Resource Controllability and Stabilization of Parabolic Equations, by Viorel Barbu, (electronic resource)
Controllability and Stabilization of Parabolic Equations, by Viorel Barbu, (electronic resource)
Resource Information
The item Controllability and Stabilization of Parabolic Equations, by Viorel Barbu, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Controllability and Stabilization of Parabolic Equations, by Viorel Barbu, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 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.
 Language
 eng
 Extent
 X, 226 p.
 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
 Isbn
 9783319766669
 Label
 Controllability and Stabilization of Parabolic Equations
 Title
 Controllability and Stabilization of Parabolic Equations
 Statement of responsibility
 by Viorel Barbu
 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.
 http://library.link/vocab/creatorName
 Barbu, Viorel
 Image bit depth
 0
 LC call number

 Q295
 QA402.3402.37
 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)
 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
 10.1007/9783319766669
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319766669
 Label
 Controllability and Stabilization of Parabolic Equations, by Viorel Barbu, (electronic resource)
 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
 10.1007/9783319766669
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319766669
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.bu.edu/portal/ControllabilityandStabilizationofParabolic/hodhtaU2Irk/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.bu.edu/portal/ControllabilityandStabilizationofParabolic/hodhtaU2Irk/">Controllability and Stabilization of Parabolic Equations, by Viorel Barbu, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.bu.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.bu.edu/">Boston University Libraries</a></span></span></span></span></div>