Optimal Boundary Control and Boundary Stabilization of Hyperbolic Systems
Produktnummer:
186fc7abc542f149a39dd31563e05400eb
Autor: | Gugat, Martin |
---|---|
Themengebiete: | Boundary stabilization Hyperbolic partial differential equations Hyperbolic system Optimal control problem Wave equation partial differential equations |
Veröffentlichungsdatum: | 24.07.2015 |
EAN: | 9783319188898 |
Sprache: | Englisch |
Seitenzahl: | 140 |
Produktart: | Kartoniert / Broschiert |
Verlag: | Springer International Publishing |
Produktinformationen "Optimal Boundary Control and Boundary Stabilization of Hyperbolic Systems"
This brief considers recent results on optimal control and stabilization of systems governed by hyperbolic partial differential equations, specifically those in which the control action takes place at the boundary. The wave equation is used as a typical example of a linear system, through which the author explores initial boundary value problems, concepts of exact controllability, optimal exact control, and boundary stabilization. Nonlinear systems are also covered, with the Korteweg-de Vries and Burgers Equations serving as standard examples. To keep the presentation as accessible as possible, the author uses the case of a system with a state that is defined on a finite space interval, so that there are only two boundary points where the system can be controlled. Graduate and post-graduate students as well as researchers in the field will find this to be an accessible introduction to problems of optimal control and stabilization.

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