Stability and Boundary Stabilization of 1D Hyperbolic Systems
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The work Stability and Boundary Stabilization of 1D Hyperbolic Systems represents a distinct intellectual or artistic creation found in Boston University Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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Stability and Boundary Stabilization of 1D Hyperbolic Systems
Resource Information
The work Stability and Boundary Stabilization of 1D Hyperbolic Systems represents a distinct intellectual or artistic creation found in Boston University Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 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
 Image bit depth
 0
 LC call number
 QA370380
 Literary form
 non fiction
 Series statement
 Progress in Nonlinear Differential Equations and Their Applications,
 Series volume
 88
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