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Wave Progagation, Observation and Control in 1-d Flexible Multi-Structures [electronic resource] /by René Dáger, Enrique Zuazua.

by Dáger, René [author.]; Zuazua, Enrique [author.]; SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Mathématiques et Applications: 50Publisher: Berlin, Heidelberg : Springer-Verlag, 2006.Description: IX, 219 p. online resource.ISBN: 9783540377269.Subject(s): Mathematics | Differential equations, partial | Systems theory | Mechanics | Mathematics | Systems Theory, Control | Partial Differential Equations | MechanicsDDC classification: 519 Online resources: Click here to access online
Contents:
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.
In: Springer eBooksSummary: 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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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.

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