Wave Progagation, Observation and Control in 1-d Flexible Multi-Structures
Dáger, René.
creator
author.
Zuazua, Enrique.
author.
SpringerLink (Online service)
text
gw
2006
monographic
eng
access
X, 230 p. online resource.
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.
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.
by René Dáger, Enrique Zuazua.
Mathematics
Partial differential equations
System theory
Mechanics
Mathematics
Systems Theory, Control
Partial Differential Equations
Mechanics
Q295
QA402.3-402.37
519
Springer eBooks
Mathématiques et Applications, 50
9783540377269
http://dx.doi.org/10.1007/3-540-37726-3
http://dx.doi.org/10.1007/3-540-37726-3
100301
20180115171659.0
978-3-540-37726-9