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130626 ||| eng |
020 |
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|a 9783540377269
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100 |
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|a Dáger, René
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245 |
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|a Wave Propagation, Observation and Control in 1-d Flexible Multi-Structures
|h Elektronische Ressource
|c by René Dáger, Enrique Zuazua
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250 |
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|a 1st ed. 2006
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260 |
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|a Berlin, Heidelberg
|b Springer Berlin Heidelberg
|c 2006, 2006
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300 |
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|a X, 230 p
|b online resource
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|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
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653 |
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|a Classical Mechanics
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653 |
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|a Control theory
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653 |
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|a Systems Theory, Control
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653 |
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|a System theory
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653 |
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|a Mechanics
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653 |
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|a Differential Equations
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653 |
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|a Differential equations
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700 |
1 |
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|a Zuazua, Enrique
|e [author]
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|a eng
|2 ISO 639-2
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|b Springer
|a Springer eBooks 2005-
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|a Mathématiques et Applications
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|a 10.1007/3-540-37726-3
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856 |
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|u https://doi.org/10.1007/3-540-37726-3?nosfx=y
|x Verlag
|3 Volltext
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|a 003
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|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
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