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The Resource Stability and Boundary Stabilization of 1D Hyperbolic Systems, by Georges Bastin, JeanMichel Coron, (electronic resource)
Stability and Boundary Stabilization of 1D Hyperbolic Systems, by Georges Bastin, JeanMichel Coron, (electronic resource)
Resource Information
The item Stability and Boundary Stabilization of 1D Hyperbolic Systems, by Georges Bastin, JeanMichel Coron, (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 Stability and Boundary Stabilization of 1D Hyperbolic Systems, by Georges Bastin, JeanMichel Coron, (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 explores the modeling of conservation and balance laws of onedimensional hyperbolic systems using partial differential equations. It presents typical examples of hyperbolic systems for a wide range of physical engineering applications, allowing readers to understand the concepts in whichever setting is most familiar to them. With these examples, it also illustrates how control boundary conditions may be defined for the most commonly used control devices. The authors begin with the simple case of systems of two linear conservation laws and then consider the stability of systems under more general boundary conditions that may be differential, nonlinear, or switching. They then extend their discussion to the case of nonlinear conservation laws and demonstrate the use of Lyapunov functions in this type of analysis. Systems of balance laws are considered next, starting with the linear variety before they move on to more general cases of nonlinear ones. They go on to show how the problem of boundary stabilization of systems of two balance laws by both fullstate and dynamic output feedback in observercontroller form is solved by using a “backstepping” method, in which the gains of the feedback laws are solutions of an associated system of linear hyperbolic PDEs. The final chapter presents a case study on the control of navigable rivers to emphasize the main technological features that may occur in practical applications of boundary feedback control. Stability and Boundary Stabilization of 1D Hyperbolic Systems will be of interest to graduate students and researchers in applied mathematics and control engineering. The wide range of applications it discusses will help it to have as broad an appeal within these groups as possible
 Language
 eng
 Extent
 XIV, 307 p. 61 illus., 31 illus. in color.
 Contents

 Hyperbolic Systems of Balance Laws
 Systems of Two Linear Conservation Laws
 Systems of Linear Conservation Laws
 Systems of Nonlinear Conservation Laws
 Systems of Linear Balance Laws
 QuasiLinear Hyperbolic Systems
 Backstepping Control
 Case Study: Control of Navigable Rivers
 Appendices
 References
 Index
 Isbn
 9783319320625
 Label
 Stability and Boundary Stabilization of 1D Hyperbolic Systems
 Title
 Stability and Boundary Stabilization of 1D Hyperbolic Systems
 Statement of responsibility
 by Georges Bastin, JeanMichel Coron
 Subject

 Dynamical systems
 Mathematical physics
 Partial differential equations
 Vibration, Dynamical Systems, Control
 Partial differential equations
 Systems Theory, Control
 Mathematical physics
 Dynamics
 Dynamical systems
 Dynamics
 Vibration
 System theory
 Electronic resources
 Vibration
 Mathematics
 System theory
 Ergodic theory
 Mathematical Applications in the Physical Sciences
 Mathematics
 Partial Differential Equations
 Dynamical Systems and Ergodic Theory
 Partial Differential Equations
 Ergodic theory
 Language
 eng
 Summary
 This monograph explores the modeling of conservation and balance laws of onedimensional hyperbolic systems using partial differential equations. It presents typical examples of hyperbolic systems for a wide range of physical engineering applications, allowing readers to understand the concepts in whichever setting is most familiar to them. With these examples, it also illustrates how control boundary conditions may be defined for the most commonly used control devices. The authors begin with the simple case of systems of two linear conservation laws and then consider the stability of systems under more general boundary conditions that may be differential, nonlinear, or switching. They then extend their discussion to the case of nonlinear conservation laws and demonstrate the use of Lyapunov functions in this type of analysis. Systems of balance laws are considered next, starting with the linear variety before they move on to more general cases of nonlinear ones. They go on to show how the problem of boundary stabilization of systems of two balance laws by both fullstate and dynamic output feedback in observercontroller form is solved by using a “backstepping” method, in which the gains of the feedback laws are solutions of an associated system of linear hyperbolic PDEs. The final chapter presents a case study on the control of navigable rivers to emphasize the main technological features that may occur in practical applications of boundary feedback control. Stability and Boundary Stabilization of 1D Hyperbolic Systems will be of interest to graduate students and researchers in applied mathematics and control engineering. The wide range of applications it discusses will help it to have as broad an appeal within these groups as possible
 http://library.link/vocab/creatorName
 Bastin, Georges
 Image bit depth
 0
 LC call number
 QA370380
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName

 Coron, JeanMichel.
 SpringerLink
 Series statement
 Progress in Nonlinear Differential Equations and Their Applications,
 Series volume
 88
 http://library.link/vocab/subjectName

 Mathematics
 Dynamics
 Ergodic theory
 Partial differential equations
 System theory
 Mathematical physics
 Vibration
 Dynamical systems
 Mathematics
 Partial Differential Equations
 Dynamical Systems and Ergodic Theory
 Systems Theory, Control
 Mathematical Applications in the Physical Sciences
 Vibration, Dynamical Systems, Control
 Label
 Stability and Boundary Stabilization of 1D Hyperbolic Systems, by Georges Bastin, JeanMichel Coron, (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
 Hyperbolic Systems of Balance Laws  Systems of Two Linear Conservation Laws  Systems of Linear Conservation Laws  Systems of Nonlinear Conservation Laws  Systems of Linear Balance Laws  QuasiLinear Hyperbolic Systems  Backstepping Control  Case Study: Control of Navigable Rivers  Appendices  References  Index
 Dimensions
 unknown
 Extent
 XIV, 307 p. 61 illus., 31 illus. in color.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783319320625
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9783319320625
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319320625
 Label
 Stability and Boundary Stabilization of 1D Hyperbolic Systems, by Georges Bastin, JeanMichel Coron, (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
 Hyperbolic Systems of Balance Laws  Systems of Two Linear Conservation Laws  Systems of Linear Conservation Laws  Systems of Nonlinear Conservation Laws  Systems of Linear Balance Laws  QuasiLinear Hyperbolic Systems  Backstepping Control  Case Study: Control of Navigable Rivers  Appendices  References  Index
 Dimensions
 unknown
 Extent
 XIV, 307 p. 61 illus., 31 illus. in color.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783319320625
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9783319320625
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319320625
Subject
 Dynamical Systems and Ergodic Theory
 Dynamical systems
 Dynamical systems
 Dynamics
 Dynamics
 Electronic resources
 Ergodic theory
 Ergodic theory
 Mathematical Applications in the Physical Sciences
 Mathematical physics
 Mathematical physics
 Mathematics
 Mathematics
 Partial Differential Equations
 Partial Differential Equations
 Partial differential equations
 Partial differential equations
 System theory
 System theory
 Systems Theory, Control
 Vibration
 Vibration
 Vibration, Dynamical Systems, Control
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