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Optimal boundary control and boundar...

Gugat, Martin.

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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 systems/ by Martin Gugat.
Author:	Gugat, Martin.
Published:	Cham :Springer International Publishing : : 2015.,
Description:	viii, 140 p. :ill., digital ;24 cm.
[NT 15003449]:	Introduction -- Systems that are Governed by the Wave Equation -- Exact Controllability -- Optimal Exact Control -- Boundary Stabilization -- Nonlinear Systems -- Distributions -- Index.
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:

535880
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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100 1 $a Gugat, Martin. $3 2157948
245 1 0 $a Optimal boundary control and boundary stabilization of hyperbolic systems $h [electronic resource] / $c by Martin Gugat.
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhauser, $c 2015.
300 $a viii, 140 p. : $b ill., digital ; $c 24 cm.
490 1 $a SpringerBriefs in electrical and computer engineering. Control, automation and robotics, $x 2191-8112
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.
650 0 $a Control theory. $3 535880
650 0 $a Differential equations, Hyperbolic. $3 560924
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Systems Theory, Control. $3 893834
650 2 4 $a Partial Differential Equations. $3 890899
650 2 4 $a Calculus of Variations and Optimal Control; Optimization. $3 898674
650 2 4 $a Control. $3 1006321
650 2 4 $a Continuous Optimization. $3 1566748
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830 0 $a SpringerBriefs in electrical and computer engineering. $p Control, automation and robotics. $3 1622177
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-18890-4
950 $a Mathematics and Statistics (Springer-11649)