書目名稱 | Wave Propagation, Observation and Control in 1-d Flexible Multi-Structures | 編輯 | René Dáger,Enrique Zuazua | 視頻video | http://file.papertrans.cn/1022/1021209/1021209.mp4 | 概述 | Includes supplementary material: | 叢書名稱 | Mathématiques et Applications | 圖書封面 |  | 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 | 關(guān)鍵詞 | 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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書目名稱Wave Propagation, Observation and Control in 1-d Flexible Multi-Structures影響因子(影響力) 
書目名稱Wave Propagation, Observation and Control in 1-d Flexible Multi-Structures影響因子(影響力)學(xué)科排名 
書目名稱Wave Propagation, Observation and Control in 1-d Flexible Multi-Structures網(wǎng)絡(luò)公開度 
書目名稱Wave Propagation, Observation and Control in 1-d Flexible Multi-Structures網(wǎng)絡(luò)公開度學(xué)科排名 
書目名稱Wave Propagation, Observation and Control in 1-d Flexible Multi-Structures被引頻次 
書目名稱Wave Propagation, Observation and Control in 1-d Flexible Multi-Structures被引頻次學(xué)科排名 
書目名稱Wave Propagation, Observation and Control in 1-d Flexible Multi-Structures年度引用 
書目名稱Wave Propagation, Observation and Control in 1-d Flexible Multi-Structures年度引用學(xué)科排名 
書目名稱Wave Propagation, Observation and Control in 1-d Flexible Multi-Structures讀者反饋 
書目名稱Wave Propagation, Observation and Control in 1-d Flexible Multi-Structures讀者反饋學(xué)科排名 
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