Wave Propagation, Observation and Control in 1 - D Flexible Multi-structures
Dager, Rene; Zuazua, Enrique
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Description for Wave Propagation, Observation and Control in 1 - D Flexible Multi-structures
Paperback. Presents a detailed study of partial differential equations on planar graphs modeling networked flexible mechanical structures. Designed as a self-contained introductory course on control and observation of networks, this volume contains advanced topics and techniques which may be of interest for researchers in this area. Series: Mathematiques et Applications. Num Pages: 240 pages, biography. BIC Classification: PB. Category: (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 234 x 156 x 12. Weight in Grams: 760.
This book is devoted to analyze the vibrations of simpli?ed 1? d models of multi-body structures consisting of a ?nite number of ?exible strings d- tributed along planar graphs. We?rstdiscussissueson existence and uniquenessof solutions that can be solved by standard methods (energy arguments, semigroup theory, separation ofvariables,transposition,...).Thenweanalyzehowsolutionspropagatealong the graph as the time evolves, addressing the problem of the observation of waves. Roughly, the question of observability can be formulated as follows: Can we obtain complete information on the vibrations by making measu- ments in one single extreme of the network? This formulation is relevant both in the context of control ... Read more
This book is devoted to analyze the vibrations of simpli?ed 1? d models of multi-body structures consisting of a ?nite number of ?exible strings d- tributed along planar graphs. We?rstdiscussissueson existence and uniquenessof solutions that can be solved by standard methods (energy arguments, semigroup theory, separation ofvariables,transposition,...).Thenweanalyzehowsolutionspropagatealong the graph as the time evolves, addressing the problem of the observation of waves. Roughly, the question of observability can be formulated as follows: Can we obtain complete information on the vibrations by making measu- ments in one single extreme of the network? This formulation is relevant both in the context of control ... Read more
Product Details
Format
Paperback
Publication date
2005
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Germany
Number of pages
240
Condition
New
Series
Mathematiques et Applications
Number of Pages
230
Place of Publication
Berlin, Germany
ISBN
9783540272397
SKU
V9783540272397
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Wave Propagation, Observation and Control in 1 - D Flexible Multi-structures
From the reviews of the first edition: "This book deals with propagation, observation and control of the vibrations in a l-d model of a multi-body structure consisting of a finite number of flexible strings distributed along a planar graph. … this book provides a source of information for researchers in the area of control and observation of networks. ... Read more