Wave Progagation, Observation and Control in 1-d Flexible Multi-Structures [electronic resource] / by RenȨ Dger, Enrique Zuazua.
Tipo de material: TextoSeries MathȨmatiques et Applications ; 50 | MathȨmatiques et Applications ; 50Editor: Berlin, Heidelberg : Springer-Verlag, 2006Descripción: X, 230 p. online resourceTipo de contenido:- text
- computer
- online resource
- 9783540377269
- SpringerLink (Online service)
- 519 23
- Q295
- QA402.3-402.37
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 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.
ZDB-2-SMA
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