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, 50Editor: Berlin, Heidelberg : Springer-Verlag, 2006Descripción: X, 230 p. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9783540377269Trabajos contenidos: SpringerLink (Online service)Tema(s): Mathematics | Differential equations, partial | Systems theory | Mechanics | Mathematics | Systems Theory, Control | Partial Differential Equations | MechanicsFormatos físicos adicionales: Sin títuloClasificación CDD: 519 Clasificación LoC:Q295QA402.3-402.37Recursos en línea: de clik aquí para ver el libro electrónico 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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