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Titlebook: Wave Propagation, Observation and Control in 1-d Flexible Multi-Structures; René Dáger,Enrique Zuazua Book 2006 Springer-Verlag Berlin Hei

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書目名稱Wave Propagation, Observation and Control in 1-d Flexible Multi-Structures
編輯René Dáger,Enrique Zuazua
視頻videohttp://file.papertrans.cn/1022/1021209/1021209.mp4
概述Includes supplementary material:
叢書名稱Mathématiques et Applications
圖書封面Titlebook: Wave Propagation, Observation and Control in 1-d Flexible Multi-Structures;  René Dáger,Enrique Zuazua Book 2006 Springer-Verlag Berlin Hei
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
doihttps://doi.org/10.1007/3-540-37726-3
isbn_softcover978-3-540-27239-7
isbn_ebook978-3-540-37726-9Series ISSN 1154-483X Series E-ISSN 2198-3275
issn_series 1154-483X
copyrightSpringer-Verlag Berlin Heidelberg 2006
The information of publication is updating

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y deserve. In particular, not much is known about their performance and technology transfer experiences in developing countries. This chapter analyses the technology transfer experiences of a small number of Singapore firms that are subsidiaries or licensees of SMEs from industrial countries.. It is
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ations as analysis of trade policy has been incorporated into general equilibrium models. Several theorists have sought to explain trade patterns by attempting to elaborate the basic Heckscher-Ohlin model to give more emphasis to demand forces. These efforts have been expertly synthesised by Johnson
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the exclusive concern of any particular group of countries, there can be little doubt that the task of developing the poorer societies is particularly urgent and difficult. Partly as a recognition of the urgent and difficult nature of the task and partly in response to world-wide trends, the opinio
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lance) between adjustment to the disturbance and financing of the disequilibrium by the use of international monetary reserves, and (.) the choice of the optimal adjustment technique. Several factors relating to the internal as well as external position of the country have an important bearing on th
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