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Optimal boundary control and boundar...

Gugat, Martin.

Optimal boundary control and boundary stabilization of hyperbolic systems

Record Type:	Electronic resources : Monograph/item
Title/Author:	Optimal boundary control and boundary stabilization of hyperbolic systemsby Martin Gugat.
Author:	Gugat, Martin.
Published:	Cham :Springer International Publishing :2015.
Description:	viii, 140 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Control theory.
Online resource:	http://dx.doi.org/10.1007/978-3-319-18890-4
ISBN:	9783319188904 (electronic bk.)

Optimal boundary control and boundary stabilization of hyperbolic systems
Gugat, Martin.

Optimal boundary control and boundary stabilization of hyperbolic systems[electronic resource] /by Martin Gugat. - Cham :Springer International Publishing :2015. - viii, 140 p. :ill., digital ;24 cm. - SpringerBriefs in electrical and computer engineering. Control, automation and robotics,2191-8112. - SpringerBriefs in electrical and computer engineering.Control, automation and robotics..

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

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.

ISBN: 9783319188904 (electronic bk.)

Standard No.: 10.1007/978-3-319-18890-4doiSubjects--Topical Terms:

182248
Control theory.

LC Class. No.: QA402.3

Dewey Class. No.: 003.5

Optimal boundary control and boundary stabilization of hyperbolic systems
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245 1 0 $a Optimal boundary control and boundary stabilization of hyperbolic systems $h [electronic resource] / $c by Martin Gugat.
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300 $a viii, 140 p. : $b ill., digital ; $c 24 cm.
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505 0 $a Introduction -- Systems that are Governed by the Wave Equation -- Exact Controllability -- Optimal Exact Control -- Boundary Stabilization -- Nonlinear Systems -- Distributions -- Index.
520 $a 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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650 0 $a Differential equations, Hyperbolic. $3 199039
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