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Optimal Boundary Control and Boundary Stabilization of Hyperbolic Systems

GUGAT, Martin - Personal Name;

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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Detail Information
Series Title
SpringerBriefs in Electrical and Computer Engineering
Call Number
-
Publisher
: ., 2015
Collation
VIII, 140
Language
English
ISBN/ISSN
978-3-319-18889-8
Classification
NONE
Content Type
text
Media Type
computer
Carrier Type
-
Edition
1
Subject(s)
Differential equations
Control
Calculus of Variations and Optimization
Control and Systems Theory
Systems Theory
Continuous Optimization
Specific Detail Info
-
Statement of Responsibility
Martin Gugat
Other Information
Cataloger
Fandi
Source
-
Validator
TAUFIK
Other version/related

No other version available

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  • Optimal Boundary Control and Boundary
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