Optimal Boundary Control and Boundary Stabilization of Hyperbolic Systems

1. Auflage 2015
ISBN: 978-3-319-18889-8
Verlag: Springer International Publishing

Buch, Englisch, 140 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 263 g

Reihe: SpringerBriefs in Electrical and Computer Engineering

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

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Technische Wissenschaften Elektronik | Nachrichtentechnik Nachrichten- und Kommunikationstechnik Regelungstechnik

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.