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

• Κύριοι συγγραφείς: Dáger, René (Συγγραφέας), Zuazua, Enrique (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer-Verlag, 2006.
• Σειρά: Mathématiques et Applications, 50
• Θέματα: Mathematics.; Partial differential equations.; System theory.; Mechanics.; Systems Theory, Control.; Partial Differential Equations.
• Φυσική περιγραφή: X, 230 p. online resource.
• ISBN: 9783540377269
• ISSN: 1154-483X ;

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.