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Viser: Stability and Boundary Stabilization of 1-D Hyperbolic Systems
Stability and Boundary Stabilization of 1-D Hyperbolic Systems Vital Source e-bog
Georges Bastin og Jean-Michel Coron
(2016)
Stability and Boundary Stabilization of 1-D Hyperbolic Systems
Georges Bastin og Jean-Michel Coron
(2016)
Sprog: Engelsk
Detaljer om varen
- Vital Source searchable e-book (Fixed pages)
- Udgiver: Springer Nature (Juli 2016)
- Forfattere: Georges Bastin og Jean-Michel Coron
- ISBN: 9783319320625
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Detaljer om varen
- 1. Udgave
- Hardback: 273 sider
- Udgiver: Springer International Publishing AG (August 2016)
- Forfattere: Georges Bastin og Jean-Michel Coron
- ISBN: 9783319320601
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 real live 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.