Wave propagation, observation and control in 1-d flexible multi-structures / René Dáger, Enrique Zuazua
Type de document : MonographieCollection : Mathématiques et applications, 50Langue : anglais.Pays: Allemagne.Éditeur : Berlin : Springer-Verlag, 2006Description : 1 vol. (IX-219 p.) : fig. ; 24 cmISBN: 9783540272397.ISSN: 1154-483X.Bibliographie : Bibliogr. p. 213-219. Index.Sujet MSC : 74-01, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to mechanics of deformable solids74M05, Mechanics of deformable solids, Control, switches and devices in solid mechanics
74H45, Mechanics of deformable solids, Vibrations in dynamical problems in solid mechanics
93B05, Systems theory; control, Controllability
93B07, Systems theory; control, ObservabilityEn-ligne : Springerlink
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Bibliogr. p. 213-219. Index
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. (Source : 4ème de couverture)
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