Wave Progagation [sic], Observation, and Control in 1-d flexible multi-structures / René Dáger and Enrique Zuazua.
Material type:
TextSeries: Mathématiques & applications ; 50Publication details: Berlin ; New York : Springer, c2006.Description: ix, 219 p. : ill. ; 24 cmISBN: - 3540272399 (pbk.)
- Wave propagation, Observation, and Control in 1-d Flexible Multi-Structures
- QA935 .D24 2006
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| QA927 .N685 2005 Nonlinear Waves in Fluids : Recent Advances and Modern Applications / | QA931 .L283 1986 Theory of Elasticity / | QA935 .C45 2008 Finite element methods for engineering sciences : theoretical approach and problem solving techniques / | QA935 .D24 2006 Wave Progagation [sic], Observation, and Control in 1-d flexible multi-structures / | QA981 .M83 1982 الوجيز في المناخ التطبيقي / | QA981 .M83 1982 الوجيز في المناخ التطبيقي / | QA981 .M83 1982 الوجيز في المناخ التطبيقي / |
Includes bibliographical references (p. [213]-219) and index.
Introduction.- 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.- Appendix: Some consequences of diophantine approximation theorems.- References.- 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 Schrodinger 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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