Gugat Optimal Boundary Control and Boundary Stabilization of Hyperbolic Systems

1. Auflage 2015
ISBN: 978-3-319-18890-4
Verlag: Springer International Publishing
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 140 Seiten, eBook

Reihe: SpringerBriefs in Control, Automation and Robotics

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.

Zielgruppe

Research

Autoren/Hrsg.

Gugat, Martin

Inhaltsverzeichnis

Introduction.- Systems that are Governed by the Wave Equation.- Exact Controllability.- Optimal Exact Control.- Boundary Stabilization.- Nonlinear Systems.- Distributions.- Index

Über Autor(innen)

Martin Gugat is Professor in the Department of Mathematics at Friedrich-Alexander-University, Erlangen-Nürnberg, Germany.