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Optimal Boundary Control and Boundary Stabilization of Hyperbolic Systems

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Optimal Boundary Control and Boundary Stabilization of Hyperbolic Systems

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Description

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.

Author Biography:

Martin Gugat is Professor in the Department of Mathematics at Friedrich-Alexander-University, Erlangen-Nürnberg, Germany.
Release date NZ
July 24th, 2015
Author
Audience
  • Professional & Vocational
Edition
1st ed. 2015
Illustrations
2 Illustrations, color; 1 Illustrations, black and white; VIII, 140 p. 3 illus., 2 illus. in color.
Pages
140
ISBN-13
9783319188898
Product ID
23101017

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