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＜電子ブック＞
Wave Propagation, Observation and Control in 1-d Flexible Multi-Structures / by René Dáger, Enrique Zuazua
(Mathématiques et Applications. ISSN:21983275 ; 50)

版	1st ed. 2006.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2006
本文言語	英語
大きさ	X, 230 p : online resource
著者標目	*Dáger, René author Zuazua, Enrique author SpringerLink (Online service)
件　名	LCSH:System theory LCSH:Control theory LCSH:Differential equations LCSH:Mechanics FREE:Systems Theory, Control FREE:Differential Equations FREE:Classical Mechanics
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/3-540-37726-3

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