Optimal boundary control and boundary stabilization of hyperbolic systems

by Gugat, Martin

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Title Statements

Full title :Optimal boundary control and boundary stabilization of hyperbolic systems / Martin Gugat.

Summary

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.

Edition Statements

Publication Date:2015.

Publication Statements

Publisher(s):Birkhäuser
Place of Publication:Cham
Language:eng
Publication Date:2015.

Notes

Titre de l'écran-titre (visionné le 4 mars 2016).

The Physical Object

Description:1 ressource en ligne

Edition Identifiers

ISBN:9783319188904 electronic bk., 3319188909 electronic bk.
DOI:10.1007/978-3-319-18890-4
oclc:ocn946902803
LC Classification:QA402.3
Dewey Decimal:003/.5

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