| 书目名称 | Duality System in Applied Mechanics and Optimal Control | | 编辑 | Wan-Xie Zhong | | 视频video | | | 丛书名称 | Advances in Mechanics and Mathematics | | 图书封面 |  | | 描述 | .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.. | | 出版日期 | Book 2004 | | 关键词 | applied mechanics; mechanics; numerical methods; resonance; stability; stochastic processes; structural me | | 版次 | 1 | | doi | https://doi.org/10.1007/b130344 | | isbn_softcover | 978-1-4757-7917-2 | | isbn_ebook | 978-1-4020-7881-1Series ISSN 1571-8689 Series E-ISSN 1876-9896 | | issn_series | 1571-8689 | | copyright | Springer Science+Business Media New York 2004 |
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发表于 2025-3-21 18:03:03
