TY  - BOOK
AU  - 
AU  - 
ED  - SpringerLink (Online service)
TI  - Wave Progagation, Observation and Control in 1-d Flexible Multi-Structures
T2  - MathȨmatiques et Applications,
SN  - 9783540377269
AV  - Q295 
U1  - 519 23
PY  - 2006///
CY  - Berlin, Heidelberg
PB  - Springer-Verlag
KW  - Mathematics
KW  - Differential equations, partial
KW  - Systems theory
KW  - Mechanics
KW  - Systems Theory, Control
KW  - Partial Differential Equations
N1  - 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; ZDB-2-SMA
N2  - 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 Schrȵdinger 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
UR  - http://dx.doi.org/10.1007/3-540-37726-3
ER  -