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Wave Propagation, Observation and Control in 1-d Flexible Multi-Structures

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 smal...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Dáger, René (Autor), Zuazua, Enrique (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2006.
Edición:1st ed. 2006.
Colección:Mathématiques et Applications, 50
Temas:
Acceso en línea:Texto Completo

MARC

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490 1 |a Mathématiques et Applications,  |x 2198-3275 ;  |v 50 
505 0 |a 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. 
520 |a 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. 
650 0 |a System theory. 
650 0 |a Control theory. 
650 0 |a Differential equations. 
650 0 |a Mechanics. 
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650 2 4 |a Differential Equations. 
650 2 4 |a Classical Mechanics. 
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