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978-3-540-37726-9
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20180115171659.0
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9783540377269
978-3-540-37726-9
10.1007/3-540-37726-3
doi
Q295
QA402.3-402.37
GPFC
bicssc
SCI064000
bisacsh
TEC004000
bisacsh
519
23
Dáger, René.
author.
Wave Progagation, Observation and Control in 1-d Flexible Multi-Structures
[electronic resource] /
by René Dáger, Enrique Zuazua.
Berlin, Heidelberg :
Springer-Verlag,
2006.
X, 230 p.
online resource.
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rdacontent
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rdamedia
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Mathématiques et Applications,
1154-483X ;
50
Preliminaries -- Some Useful Tools -- The Three String Network -- General Trees -- Some Observability and Controllability Results for General Networks -- Simultaneous Observation and Control from an Interior Region -- Other Equations on Networks -- Final Remarks and Open Problems.
This volume presents a detailed study of partial differential equations on planar graphs modeling networked flexible mechanical structures. Special emphasis is laid on the understanding of wave propagation phenomena, through the analysis of the problems of observability and controllability from small regions of the graph or its boundary. Some of these results are extended to the heat, beam and Schrödinger equations on planar graphs. Designed as a self-contained introductory course on control and observation of networks, the volume contains also some advanced topics and new techniques which may be of interest for researchers in this area. It also includes a list of open problems and topics for future research.
Mathematics.
Partial differential equations.
System theory.
Mechanics.
Mathematics.
Systems Theory, Control.
Partial Differential Equations.
Mechanics.
Zuazua, Enrique.
author.
SpringerLink (Online service)
Springer eBooks
Printed edition:
9783540272397
Mathématiques et Applications,
1154-483X ;
50
http://dx.doi.org/10.1007/3-540-37726-3
ZDB-2-SMA
372071
372071
0
0
0
0
EBook
elib
elib
2018-01-15
2018-01-15
2018-01-15
EBOOK