Optimal boundary control and boundary stabilization of hyperbolic systems [electronic resource] / Martin Gugat.
2015
QA402.3
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Details
Title
Optimal boundary control and boundary stabilization of hyperbolic systems [electronic resource] / Martin Gugat.
Author
Gugat, Martin.
ISBN
9783319188904 electronic book
3319188909 electronic book
9783319188898
3319188895
3319188909 electronic book
9783319188898
3319188895
Published
Cham : Birkhäuser, 2015.
Copyright
©2015
Language
English
Description
1 online resource.
Call Number
QA402.3
Dewey Decimal Classification
003/.5
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.
Bibliography, etc. Note
Includes bibliographical references and index.
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Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (viewed July 21, 2015).
Series
SpringerBriefs in electrical and computer engineering. Control, automation and robotics.
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Table of Contents
Introduction
Systems that are Governed by the Wave Equation
Exact Controllability
Optimal Exact Control
Boundary Stabilization
Nonlinear Systems
Distributions
Index.
Systems that are Governed by the Wave Equation
Exact Controllability
Optimal Exact Control
Boundary Stabilization
Nonlinear Systems
Distributions
Index.