The Resource Stability and Boundary Stabilization of 1-D Hyperbolic Systems, by Georges Bastin, Jean-Michel Coron, (electronic resource)

Stability and Boundary Stabilization of 1-D Hyperbolic Systems, by Georges Bastin, Jean-Michel Coron, (electronic resource)

Label
Stability and Boundary Stabilization of 1-D Hyperbolic Systems
Title
Stability and Boundary Stabilization of 1-D Hyperbolic Systems
Statement of responsibility
by Georges Bastin, Jean-Michel Coron
Creator
Contributor
Author
Provider
Subject
Language
eng
Summary
This monograph explores the modeling of conservation and balance laws of one-dimensional 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 full-state and dynamic output feedback in observer-controller 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 1-D 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
Member of
http://library.link/vocab/creatorName
Bastin, Georges
Image bit depth
0
LC call number
QA370-380
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Coron, Jean-Michel.
  • 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 1-D Hyperbolic Systems, by Georges Bastin, Jean-Michel Coron, (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
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 -- Quasi-Linear 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
10.1007/978-3-319-32062-5
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-32062-5
Label
Stability and Boundary Stabilization of 1-D Hyperbolic Systems, by Georges Bastin, Jean-Michel Coron, (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
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 -- Quasi-Linear 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
10.1007/978-3-319-32062-5
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-32062-5

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