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03259nam a22005655i 4500 |
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978-1-4020-7881-1 |
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DE-He213 |
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20151030011052.0 |
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cr nn 008mamaa |
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100301s2004 xxu| s |||| 0|eng d |
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|a 9781402078811
|9 978-1-4020-7881-1
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7 |
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|a 10.1007/b130344
|2 doi
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|d GrThAP
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|a T57-57.97
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|a PBW
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|a MAT003000
|2 bisacsh
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|a 519
|2 23
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|a Zhong, Wan-Xie.
|e author.
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|a Duality System in Applied Mechanics and Optimal Control
|h [electronic resource] /
|c by Wan-Xie Zhong.
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|a Boston, MA :
|b Springer US,
|c 2004.
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| 300 |
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|a XIII, 456 p.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a text file
|b PDF
|2 rda
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| 490 |
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|a Advances in Mechanics and Mathematics ;
|v 5
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0 |
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|a to analytical dynamics -- Vibration Theory -- Probability and stochastic process -- Random vibration of structures -- Elastic system with single continuous coordinate -- Linear optimal control, theory and computation.
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|a A unified approach is proposed for applied mechanics and optimal control theory. The Hamilton system methodology in analytical mechanics is used for eigenvalue problems, vibration theory, gyroscopic systems, structural mechanics, wave-guide, LQ control, Kalman filter, robust control etc. All aspects are described in the same unified methodology. Numerical methods for all these problems are provided and given in meta-language, which can be implemented easily on the computer. Precise integration methods both for initial value problems and for two-point boundary value problems are proposed, which result in the numerical solutions of computer precision. Key Features of the text include: -Unified approach based on Hamilton duality system theory and symplectic mathematics. -Gyroscopic system vibration, eigenvalue problems. -Canonical transformation applied to non-linear systems. -Pseudo-excitation method for structural random vibrations. -Precise integration of two-point boundary value problems. -Wave propagation along wave-guides, scattering. -Precise solution of Riccati differential equations. -Kalman filtering. -HINFINITY theory of control and filter.
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| 650 |
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|a Mathematics.
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| 650 |
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|a Applied mathematics.
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| 650 |
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|a Engineering mathematics.
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| 650 |
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|a Calculus of variations.
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| 650 |
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|a Vibration.
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| 650 |
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|a Dynamical systems.
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| 650 |
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|a Dynamics.
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| 650 |
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|a Mechanical engineering.
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|a Mathematics.
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|a Applications of Mathematics.
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|a Appl.Mathematics/Computational Methods of Engineering.
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| 650 |
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|a Calculus of Variations and Optimal Control; Optimization.
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| 650 |
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|a Vibration, Dynamical Systems, Control.
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| 650 |
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|a Mechanical Engineering.
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| 710 |
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|a SpringerLink (Online service)
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|t Springer eBooks
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| 776 |
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|i Printed edition:
|z 9781402078804
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| 830 |
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|a Advances in Mechanics and Mathematics ;
|v 5
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| 856 |
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|u http://dx.doi.org/10.1007/b130344
|z Full Text via HEAL-Link
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| 912 |
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|a ZDB-2-SMA
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| 912 |
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|a ZDB-2-BAE
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| 950 |
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|a Mathematics and Statistics (Springer-11649)
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