TY  - BOOK
AU  - Dager,Rene
TI  - Wave Progagation [sic], Observation, and Control in 1-d flexible multi-structures
SN  - 3540272399 (pbk.)
AV  - QA935 .D24 2006
PY  - 2006///
CY  - Berlin, New York
PB  - Springer
KW  - Wave-motion, Theory of
KW  - Wave mechanics
KW  - Differential equations, Partial
KW  - Flexible structures
KW  - Schrodinger equation
N1  - Includes bibliographical references (p. [213]-219) and index; Introduction.- 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.- Appendix: Some consequences of diophantine approximation theorems.- References.- Index
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 Schrodinger 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
ER  -