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050 0 0 _aQA935
_b.D24 2006
100 1 _aDager, Rene.
_954032
245 1 0 _aWave Progagation [sic], Observation, and Control in 1-d flexible multi-structures /
_cRené Dáger and Enrique Zuazua.
246 3 _aWave propagation, Observation, and Control in 1-d Flexible Multi-Structures
260 _aBerlin ;
_aNew York :
_bSpringer,
_cc2006.
300 _aix, 219 p. :
_bill. ;
_c24 cm.
440 0 _aMathématiques & applications,
_v50
_954033
504 _aIncludes bibliographical references (p. [213]-219) and index.
505 _aIntroduction.- 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.
520 _aThis 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.
650 0 _aWave-motion, Theory of.
_918388
650 0 _aWave mechanics.
_938243
650 0 _aDifferential equations, Partial.
_910145
650 0 _aFlexible structures.
_925556
650 0 _aSchrodinger equation.
_954034
942 _2lcc
_n0
_cBK
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_d26151