| 书目名称 | Wave Propagation, Observation and Control in 1-d Flexible Multi-Structures | | 编辑 | René Dáger,Enrique Zuazua | | 视频video | | | 概述 | Includes supplementary material: | | 丛书名称 | Mathématiques et Applications | | 图书封面 |  | | 描述 | 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 and inverse problems. UsingtheFourierdevelopmentofsolutionsandtechniquesofNonharmonic Fourier Analysis, we give spectral conditions that guarantee the observability property to hold in any time larger than twice the total length of the network in a suitable Hilbert space that can be characterized in terms of Fourier series by means of properly chosen weights. When the network graph is a tree, we characterize these weights in terms of the eigenvalues of the corresponding elli | | 出版日期 | Book 2006 | | 关键词 | control theory; multi-structures; partial differential equation; partial differential equations on grap | | 版次 | 1 | | doi | https://doi.org/10.1007/3-540-37726-3 | | isbn_softcover | 978-3-540-27239-7 | | isbn_ebook | 978-3-540-37726-9Series ISSN 1154-483X Series E-ISSN 2198-3275 | | issn_series | 1154-483X | | copyright | Springer-Verlag Berlin Heidelberg 2006 |
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书目名称Wave Propagation, Observation and Control in 1-d Flexible Multi-Structures影响因子(影响力)
书目名称Wave Propagation, Observation and Control in 1-d Flexible Multi-Structures影响因子(影响力)学科排名
书目名称Wave Propagation, Observation and Control in 1-d Flexible Multi-Structures网络公开度
书目名称Wave Propagation, Observation and Control in 1-d Flexible Multi-Structures网络公开度学科排名
书目名称Wave Propagation, Observation and Control in 1-d Flexible Multi-Structures被引频次
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发表于 2025-3-21 16:34:46
