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＜電子ブック＞
Duality System in Applied Mechanics and Optimal Control / by Wan-Xie Zhong
(Advances in Mechanics and Mathematics. ISSN:18769896 ; 5)

版	1st ed. 2004.
出版者	(New York, NY : Springer US : Imprint: Springer)
出版年	2004
本文言語	英語
大きさ	XIII, 456 p : online resource
著者標目	*Wan-Xie Zhong author SpringerLink (Online service)
件　名	LCSH:Mathematics LCSH:Engineering mathematics LCSH:Engineering -- Data processing  全ての件名で検索 LCSH:Mathematical optimization LCSH:Calculus of variations LCSH:Multibody systems LCSH:Vibration LCSH:Mechanics, Applied LCSH:Mechanical engineering FREE:Applications of Mathematics FREE:Mathematical and Computational Engineering Applications FREE:Calculus of Variations and Optimization FREE:Multibody Systems and Mechanical Vibrations FREE:Mechanical Engineering
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/b130344

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